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| static Matrix2d | Create (Matrix2d mat) |
| | Creates and returns a 2D matrix that is a copy of another 2D matrix. More...
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| static Matrix2d | Create (IMatrix mat) |
| | Creates and returns a 2D matrix that is a copy of another (general) matrix. That matrix should be a 2*2 matrix, otherwise exception is thrown. More...
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| static Matrix2d | Create (double[][] A) |
| | Constructs a matrix from a copy of a 2-D array by deep-copy. More...
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| static Matrix2d | Create (double[,] A) |
| | Constructs a 2D matrix from a copy of a 2-D array by deep-copy. More...
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| static Matrix2d | CreateFromColumns (IList< IVector > columnVectors) |
| | Construct a complex matrix from a set of real column vectors. More...
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| static Matrix2d | CreateFromRows (IList< Vector > rowVectors) |
| | Construct a complex matrix from a set of real row vectors. More...
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| static Matrix2d | Identity () |
| | Creates a d1*d2 identity matrix. More...
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| static Matrix2d | Zeros () |
| | Creates a 2D matrix filled with 0. More...
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| static Matrix2d | Ones () |
| | Creates a 2D matrix filled with 1. More...
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| static Matrix2d | Diagonal (IVector diagonalVector) |
| | Creates a new diagonal d1*d2 matrix based on the diagonal vector. More...
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| static Matrix2d | Random () |
| | Creates and returns a 2D matrix with uniformly distributed random elements in the [0, 1) interval. More...
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| static Matrix2d | Random (IRandomGenerator rnd) |
| | Creates and returns a 2D matrix with uniformly distributed random elements in the [0, 1) interval. More...
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| static Matrix2d | Copy (Matrix2d m) |
| | Returns a copy of the specified 2D matrix. More...
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| static void | Negate (Matrix2d m, ref Matrix2d res) |
| | Negates the specified 2D matrix and stores its copy in the resulting matrix. More...
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| static int | EigenSystem2d (Matrix2d a, ref Matrix2d eigenvec, ref Vector2d eigenval) |
| | Calculates eigenvectors and eigenvalues of a 2x2 matrix a and stores eigenvectors to lines of eigenvec and eigenvalues to eigenval. eigenvec can be the same matrix as a. The number of different real eigenvalues is returned. Ref.: linalg.nb Not tested yet! More...
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| static Matrix2d | operator+ (Matrix2d m) |
| | Unary plus for 2D matrices, returns the operand. More...
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| static Matrix2d | operator- (Matrix2d a) |
| | Unary negation for 2D matrices, returns the negative operand. More...
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| static Matrix2d | operator+ (Matrix2d a, Matrix2d b) |
| | Matrix addition in 2D. More...
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| static Matrix2d | operator- (Matrix2d a, Matrix2d b) |
| | Matrix subtraction in 2D. More...
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| static Matrix2d | operator* (Matrix2d a, Matrix2d b) |
| | Matrix multiplication in 2D. More...
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| static Vector2d | operator* (Matrix2d a, Vector2d b) |
| | Matrix with vector multiplication in 2D. More...
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| static Matrix2d | operator* (Matrix2d a, double b) |
| | Product of a 2D matrix by a scalar. More...
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| static Matrix2d | operator* (double a, Matrix2d b) |
| | Product of a 2D matrix by a scalar. More...
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| static Matrix2d | operator/ (Matrix2d a, double b) |
| | Division of a 2D matrix by a scalar. More...
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| static int | Index (int dim1, int dim2, int row, int column) |
| | Returns flat index corresponding to the specified row and column indices of a matrix with specified dimensions. More...
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| static int | Index (IMatrix mat, int row, int column) |
| | Calculates and returns flat index corresponding to the specified row and column indices of the specified matrix. More...
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| static void | Indices (int dim1, int dim2, int flatIndex, out int row, out int column) |
| | Returns (through output arguments) row and column indices corresponding to the specified flat index in a matrix with the specified dimensions. More...
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| static void | Indices (IMatrix mat, int flatIndex, out int row, out int column) |
| | Returns (through output arguments) row and column indices corresponding to the specified flat index in the specified matrix. More...
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| static void | SetZero (IMatrix mat) |
| | Sets all components of the specified matrix to 0. More...
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| static void | SetConstant (IMatrix mat, double elementValue) |
| | Sets all components of the specified matrix to the specified value. More...
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| static void | SetIdentity (IMatrix mat) |
| | Sets the specified matrix to identity matrix. WARNING: Works only for square matrices (exception is thrown if matrix is not square). For nonsquare matrices, use SetDiagonal(1.0)! More...
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| static void | SetDiagonal (IMatrix mat, IVector diagonal) |
| | Sets the current matrix to the diagonal matrix with diagonal element specified by a vector. More...
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| static void | SetDiagonal (IMatrix mat, double diagonalElement) |
| | Sets the current matrix to the diagonal matrix with all diagonal elements equal to the specified value. Matrix does not need to be a square matrix. More...
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| static void | SetRandom (IMatrix mat) |
| | Sets the specified matrix such that it contains random elements on the interval (0,1]. More...
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| static void | SetRandom (IMatrix mat, IRandomGenerator rnd=null) |
| | Sets the current matrix such that it contains random elements on the interval (0,1]. More...
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| static void | SetRandomSymmetric (IMatrix mat) |
| | Sets the specified matrix such that it is symmetric and contains random elements on the interval (0,1]. More...
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| static void | SetRandomSymmetric (IMatrix mat, IRandomGenerator rnd) |
| | Sets the specified matrix such that it is symmetric and contains random elements on the interval (0,1]. More...
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| static void | SetRandomAntiSymmetric (IMatrix mat) |
| | Sets the specified matrix such that it is antisymmetric and contains random elements on the interval (0,1]. More...
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| static void | SetRandomAntiSymmetric (IMatrix mat, IRandomGenerator rnd) |
| | Sets the specified matrix such that it is antisymmetric and contains random elements on the interval (0,1]. More...
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| static void | SetRandomLowerTriangular (IMatrix mat) |
| | Sets the specified matrix such that it is lower triangular and contains random elements on the interval (0,1]. More...
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| static void | SetRandomLowerTriangular (IMatrix mat, IRandomGenerator rnd) |
| | Sets the specified matrix such that it is lower triangular and contains random elements on the interval (0,1]. More...
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| static void | SetRandomUpperTriangular (IMatrix mat) |
| | Sets the specified matrix such that it is upper triangular and contains random elements on the interval (0,1]. More...
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| static void | SetRandomUpperTriangular (IMatrix mat, IRandomGenerator rnd) |
| | Sets the specified matrix such that it is upper triangular and contains random elements on the interval (0,1]. More...
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| static void | SetRandomSymmetricPositiveDefinite (IMatrix mat) |
| | Sets the specified matrix such that it is positive definite and contains random elements on the interval (0,1]. More...
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| static void | SetRandomSymmetricPositiveDefinite (IMatrix mat, IRandomGenerator rnd) |
| | Sets the specified matrix such that it is positive definite and contains random elements. More...
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| static void | SetRandomPositiveDiagonallyDominant (IMatrix mat, IRandomGenerator rnd=null, double dominancyFactor=100.0) |
| | Sets the specified matrix such that it is has random elements and is diagonally dominant with positive diagonal elements, i.e. any diagonal element is greater by absolute value than sum of absolute values of nondiagonal elements in the corresponding column. More...
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| static void | SetRandomPositiveDiagonallyDominant (IMatrix mat, double dominancyFactor) |
| | Sets the specified matrix such that it is has random elements and is diagonally dominant with positive diagonal elements, i.e. any diagonal element is greater by absolute value than sum of absolute values of nondiagonal elements in the corresponding column. More...
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| static void | SetRandomPositiveDiagonallyDominantSymmetric (IMatrix mat, IRandomGenerator rnd=null, double dominancyFactor=100.0) |
| | Sets the specified matrix such that it is has random elements and is symmetric diagonally dominant with positive diagonal elements, i.e. any diagonal element is greater by absolute value than sum of absolute values of nondiagonal elements in the corresponding column. More...
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| static void | SetRandomPositiveDiagonallyDominantSymmetric (IMatrix mat, double dominancyFactor) |
| | Sets the specified matrix such that it is has random elements and is symmetric diagonally dominant with positive diagonal elements, i.e. any diagonal element is greater by absolute value than sum of absolute values of nondiagonal elements in the corresponding column. More...
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| static double | SetRandomInvertible (IMatrix mat, IRandomGenerator rnd=null) |
| | Sets the specified QUADRATIC matrix such that it is has random elements and is nonsingular. More...
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| static double | SetRandomPositiveDefiniteSymmetric (IMatrix mat, IRandomGenerator rnd=null) |
| | Sets the specified QUADRATIC matrix such that it is has random elements and is a symmetric positive definite matrix. More...
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| static bool | IsSquare (IMatrix mat) |
| | Returns true if the specified matrix is a square matrix, and false if not. If the matrix is null then false is returned. More...
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| static bool | IsSymmetric (IMatrix mat) |
| | Returns true if the specified matrix is symmetric, and false if not. If the matrix is null then false is returned. More...
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| static bool | IsSymmetric (IMatrix mat, double relativeRMSTolerance) |
| | Returns true if the specified matrix is symmetric within some tolerance, and false if not. If the matrix is null then false is returned. More...
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| static int | Compare (IMatrix m1, IMatrix m2) |
| | Compares two matrices and returns -1 if the first matrix is smaller than the second one, 0 if matrices are equal, and 1 if the first matrix is greater. Matrix that is null is considered smaller than a matrix that is not null. Two null matrices are considered equal. Matrix with smaller dimension is considered smaller than a matrix with greater dimension. Matrices with equal dimensions ar compared by elements. The first element that is different decides which matrix is considered greater. More...
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| static void | Resize (ref IMatrix mat, IMatrix template, int rowCount, int columnCount) |
| | Resizes, if necessary, the specified matrix according to the required dimensions. If the matrix is initially null then a new matrix is created. If in this case a template matrix is specified then the newly created matrix will be of the same type as that template matrix, because it is created by the GetNew() method on that matrix. If dimensions of the initial matrix do not match the required dim., then matrix is resized. If the specified matrix dimension is less or equal to 0 then matrix is resized with the same dimensions as those of the template matirx. If in this case the template matrix is null, an exception is thrown. WARNINGS: Components are NOT preserved and have in general undefined values after operation is performed. If matrix and template are both null then the type of nawly created matrix is Matrix. More...
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| static void | Resize (ref IMatrix mat, int rowCount, int columnCount) |
| | Resizes, if necessary, the specified matrix according to the required dimensions. If the matrix is initially null then a new matrix (of type Matrix) is created. If dimensions of the initial matrix do not match the required dimensions, then matrix is resized. Components are NOT preserved and have in general undefined values after operation is performed. WARNING: If the matrix is initially null then the type of the newly created matrix is Matrix. More...
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| static void | Resize (ref IMatrix mat, IMatrix template) |
| | Resizes, if necessary, the specified matrix according to the dimensions of the specified template matrix. If the matrix is initially null then a new matrix is created. In this case the newly created matrix will be of the same type as that template matrix, because it is created by the GetNew() method on that matrix. If dimensions of the initial matrix do not match the dimensions of the template matrix, then matrix is resized. If the template matrix is null, then an exception is thrown. WARNINGS: Components are NOT preserved and have in general undefined values after operation is performed. If matrix and template are null then the type of newly created matrix is Matrix. More...
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| static void | CopyPlain (IMatrix a, IMatrix result) |
| | Copies components of a matrix to another matrix. This is a plain version of the method that does not perform any consistency checks. WARNING: dimensions of the copied matrix and result storage must match. More...
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| static void | Copy (IMatrix a, IMatrix result) |
| | Copies components of a matrix to another matrix. WARNING: dimensions of the copied matrix and result storage must match. More...
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| static void | Copy (IMatrix a, ref IMatrix result) |
| | Copies components of a matrix to another matrix. Resulting matrix is allocated or reallocated if necessary. More...
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| static void | CopyPlain (MatrixBase_MathNetNumerics a, IMatrix result) |
| | Copies components of a matrix to another matrix. This is a plain version of the method that does not perform any consistency checks. WARNING: dimensions of the copied matrix and result storage must match. More...
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| static void | Copy (MatrixBase_MathNetNumerics a, IMatrix result) |
| | Copies components of a matrix to another matrix. WARNING: dimensions of the copied matrix and result storage must match. More...
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| static void | Copy (MatrixBase_MathNetNumerics a, ref IMatrix result) |
| | Copies components of a matrix to another matrix. Resulting matrix is allocated or reallocated if necessary. More...
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| static void | CopyPlain (IMatrix a, Matrix_MathNetNumercs result) |
| | Copies components of a matrix to another matrix. This is a plain version of the method that does not perform any consistency checks. WARNING: dimensions of the copied matrix and result storage must match. More...
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| static void | Copy (IMatrix a, Matrix_MathNetNumercs result) |
| | Copies components of a matrix to another matrix. WARNING: dimensions of the copied matrix and result storage must match. More...
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| static void | Copy (IMatrix a, ref Matrix_MathNetNumercs result) |
| | Copies components of a matrix to another matrix. Resulting matrix is allocated or reallocated if necessary. More...
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| static void | NegatePlain (IMatrix a, IMatrix result) |
| | Stores a negative matrix of the operand in another matrix. Can be done in-place. This is a plain version of the method that does not perform any consistency checks. WARNING: dimensions of the operand and result storage must match. More...
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| static void | Negate (IMatrix a, IMatrix result) |
| | Stores a negative matrix of the operand in another matrix. Can be done in-place. WARNING: dimensions of the operand and result storage must match. More...
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| static void | Negate (IMatrix a, ref IMatrix result) |
| | Stores a negative matrix of the operand in another matrix. Can be done in-place. Resulting matrix is allocated or reallocated if necessary. More...
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| static void | TransposePlain (IMatrix a, IMatrix result) |
| | Stores transpose of the operand in another matrix. Can be done in-place. This is a plain version of the method that does not perform any consistency checks. WARNING: dimensions of the operand and result storage must match. More...
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| static void | Transpose (IMatrix a, IMatrix result) |
| | Stores transpose of the operand in another matrix. Can be done in-place. WARNING: dimensions of the operand and result storage must match. More...
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| static void | Transpose (IMatrix a, ref IMatrix result) |
| | Stores transpose of the matrix operand in another matrix. Can be done in-place. Resulting matrix is allocated or reallocated if necessary. More...
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| static void | SymmetrizePlain (IMatrix a, IMatrix sym, IMatrix antiSym) |
| | Calculates symmetric and antisymmetric part of the specified matrix (symmetric part is stored in the first result argument but is calculated last, such that it overrides antisymmetric when both arguments point to the same matrix object). More...
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| static void | Symmetrize (IMatrix a, IMatrix sym, IMatrix antiSym) |
| | Calculates symmetric and antisymmetric part of the specified matrix (symmetric part is stored in the first result argument but is calculated last, such that it overrides antisymmetric when both arguments point to the same matrix object). More...
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| static void | Symmetrize (IMatrix a, ref IMatrix sym, ref IMatrix antiSym) |
| | Stores symmetrized and antisymmetirzed matrix obtained from the specified matrix. Resulting matrix is allocated or reallocated if necessary. More...
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| static void | SymmetricPartPlain (IMatrix a, IMatrix result) |
| | Stores symmetric part of a square matrix operand in another matrix. Symmetrization is performed by averaging of non-diagonal terms and their transposed terms. Can be done in-place. This is a plain version of the method that does not perform any consistency checks. WARNING: dimensions of the operand and result storage must match. More...
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| static void | SymmetricPart (IMatrix a, IMatrix result) |
| | Stores symmetric part of a square matrix operand in another matrix. Symmetrization is performed by averaging of non-diagonal terms and their transposed terms. Can be done in-place. WARNING: dimensions of the operand and result storage must match. More...
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| static void | SymmetricPart (IMatrix a, ref IMatrix result) |
| | Stores symmetric part of a square matrix operand in another matrix. Symmetrization is performed by averaging of non-diagonal terms and their transposed terms. Can be done in-place. Resulting matrix is allocated or reallocated if necessary. More...
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| static void | AntisymmetricPartPlain (IMatrix a, IMatrix result) |
| | Stores antisymmetric part of a square matrix operand in another matrix. Antisymmetrization is performed by subtracting non-diagonal terms and their transposed terms, division by 2 and storing result in one matrix element and its negative value in another element. Can be done in-place. This is a plain version of the method that does not perform any consistency checks. WARNING: dimensions of the operand and result storage must match. More...
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| static void | AntisymmetricPart (IMatrix a, IMatrix result) |
| | Stores antisymmetric part of a square matrix operand in another matrix. Antisymmetrization is performed by subtracting non-diagonal terms and their transposed terms, division by 2 and storing result in one matrix element and its negative value in another element. Can be done in-place. WARNING: dimensions of the operand and result storage must match. More...
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| static void | AntisymmetricPart (IMatrix a, ref IMatrix result) |
| | Stores antisymmetric part of a square matrix operand in another matrix. Antisymmetrization is performed by subtracting non-diagonal terms and their transposed terms, division by 2 and storing result in one matrix element and its negative value in another element. Can be done in-place. Resulting matrix is allocated or reallocated if necessary. More...
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| static void | AddPlain (IMatrix a, IMatrix b, IMatrix result) |
| | Sums two matrices and stores the result in the specified result matrix. Operation can be performed in place. This is a plain version of the method that does not perform any consistency checks. WARNING: dimensions of matrices must match, otherwise an exception is thrown. More...
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| static void | Add (IMatrix a, IMatrix b, IMatrix result) |
| | Sums two matrices and stores the result in the specified result matrix. WARNING: dimensions of matrices must match, otherwise an exception is thrown. More...
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| static void | Add (IMatrix a, IMatrix b, ref IMatrix result) |
| | Sums two matrices and stores the result in the specified result matrix. Operation can be performed in place. WARNING: dimensions of operands must match, otherwise an exception is thrown. If dimensions of the result do not match then teh result is re-allocated. More...
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| static void | SubtractPlain (IMatrix a, IMatrix b, IMatrix result) |
| | Subtracts two matrices and stores the result in the specified result matrix. Operation can be performed in place. This is a plain version of the method that does not perform any consistency checks. WARNING: dimensions of matrices must match, otherwise an exception is thrown. More...
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| static void | Subtract (IMatrix a, IMatrix b, IMatrix result) |
| | Subtracts two matrices and stores the result in the specified result matrix. Operation can be performed in place. WARNING: dimensions of matrices must match, otherwise an exception is thrown. More...
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| static void | Subtract (IMatrix a, IMatrix b, ref IMatrix result) |
| | Subtracts two matrices and stores the result in the specified result matrix. Operation can be performed in place. WARNING: dimensions of operands must match, otherwise an exception is thrown. If dimensions of the result do not match then teh result is re-allocated. More...
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| static void | ArrayMultiplyPlain (IMatrix a, IMatrix b, IMatrix result) |
| | Element-by-element multiplication. This operation can be performed in place. This is a plain version of the method that does not perform any consistency checks. WARNING: dimensions of matrices must match, otherwise an exception is thrown. More...
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| static void | ArrayMultiply (IMatrix a, IMatrix b, IMatrix result) |
| | Element-by-element multiplication. WARNING: dimensions of matrices must match, otherwise an exception is thrown. More...
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| static void | ArrayMultiply (IMatrix a, IMatrix b, ref IMatrix result) |
| | Element-by-element multiplication. WARNING: dimensions of operands must match, otherwise an exception is thrown. If dimensions of the result do not match then teh result is re-allocated. More...
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| static void | ArrayDividePlain (IMatrix a, IMatrix b, IMatrix result) |
| | Element-by-element division. This operation can be performed in place. This is a plain version of the method that does not perform any consistency checks. WARNING: dimensions of matrices must match, otherwise an exception is thrown. More...
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| static void | ArrayDivide (IMatrix a, IMatrix b, IMatrix result) |
| | Element-by-element division. WARNING: dimensions of matrices must match, otherwise an exception is thrown. More...
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| static void | ArrayDivide (IMatrix a, IMatrix b, ref IMatrix result) |
| | Element-by-element division. WARNING: dimensions of operands must match, otherwise an exception is thrown. If dimensions of the result do not match then teh result is re-allocated. More...
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| static void | ArrayPowerPlain (IMatrix a, double power, IMatrix result) |
| | Element-by-element raise to power. This operation can be performed in place. This is a plain version of the method that does not perform any consistency checks. WARNING: dimensions of matrices must match, otherwise an exception is thrown. More...
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| static void | ArrayPower (IMatrix a, double power, IMatrix result) |
| | Element-by-element raise to power. WARNING: dimensions of matrices must match, otherwise an exception is thrown. More...
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| static void | ArrayPower (IMatrix a, double power, ref IMatrix result) |
| | Element-by-element raise to power. WARNING: dimensions of operands must match, otherwise an exception is thrown. If dimensions of the result do not match then teh result is re-allocated. More...
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| static void | ArrayMapPlain (IMatrix a, Converter< double, double > mapping, IMatrix result) |
| | Element-by-element mapping of an arbitrary function. This operation can be performed in place. This is a plain version of the method that does not perform any consistency checks. WARNING: dimensions of matrices must match, otherwise an exception is thrown. More...
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| static void | ArrayMap (IMatrix a, Converter< double, double > mapping, IMatrix result) |
| | Element-by-element mapping of an arbitrary function. WARNING: dimensions of matrices must match, otherwise an exception is thrown. More...
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| static void | ArrayMap (IMatrix a, Converter< double, double > mapping, ref IMatrix result) |
| | Element-by-element mapping of an arbitrary function. WARNING: dimensions of operands must match, otherwise an exception is thrown. If dimensions of the result do not match then teh result is re-allocated. More...
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| static void | MultiplyPlain (IMatrix a, IMatrix b, IMatrix result) |
| | R=A*B. Multiplies two matrices and stores the result in the specified result matrix. This is a plain version of the method that does not perform any consistency checks. WARNING: dimensions of matrices must match, otherwise an exception is thrown. WARNING: This operation can not be performed in place. More...
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| static void | Multiply (IMatrix a, IMatrix b, IMatrix result) |
| | R=A*B. Multiplies two matrices and stores the result in the specified result matrix. WARNING: dimensions of matrices must match, otherwise an exception is thrown. WARNING: This operation can not be performed in place. More...
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| static void | Multiply (IMatrix a, IMatrix b, ref IMatrix result) |
| | R=A*B. Multiplies two matrices and stores the result in the specified result matrix. WARNING: dimensions of operands must match, otherwise an exception is thrown. WARNING: This operation can not be performed in place. If dimensions of the result do not match then the result is re-allocated. More...
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| static void | MultiplyTranspMatPlain (IMatrix a, IMatrix b, IMatrix result) |
| | R=A^T*B Calculates product of transposed matrix and a matrix, and stores the result in the specified result matrix. This is a plain version of the method that does not perform any consistency checks. WARNING: dimensions of matrices must match, otherwise an exception is thrown. WARNING: This operation can not be performed in place. More...
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| static void | MultiplyTranspMat (IMatrix a, IMatrix b, IMatrix result) |
| | R=A^T*B Multiplies two matrices and stores the result in the specified result matrix. WARNING: dimensions of matrices must match, otherwise an exception is thrown. WARNING: This operation can not be performed in place. More...
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| static void | MultiplyTranspMat (IMatrix a, IMatrix b, ref IMatrix result) |
| | R=A^T*B Multiplies two matrices and stores the result in the specified result matrix. WARNING: dimensions of operands must match, otherwise an exception is thrown. WARNING: This operation can not be performed in place. If dimensions of the result do not match then the result is re-allocated. More...
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| static void | MultiplyMatTranspPlain (IMatrix a, IMatrix b, IMatrix result) |
| | R=A*B^T. Multiplies a matrix by transpose of another matrix and stores the result in the specified result matrix. This is a plain version of the method that does not perform any consistency checks. WARNING: dimensions of matrices must match, otherwise an exception is thrown. WARNING: This operation can not be performed in place. More...
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| static void | MultiplyMatTransp (IMatrix a, IMatrix b, IMatrix result) |
| | R=A*B^T. Multiplies a matrix by transpose of another matrix and stores the result in the specified result matrix. WARNING: dimensions of matrices must match, otherwise an exception is thrown. WARNING: This operation can not be performed in place. More...
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| static void | MultiplyMatTransp (IMatrix a, IMatrix b, ref IMatrix result) |
| | R=A*B^T. Multiplies a matrix by transpose of another matrix and stores the result in the specified result matrix. WARNING: dimensions of operands must match, otherwise an exception is thrown. WARNING: This operation can not be performed in place. If dimensions of the result do not match then the result is re-allocated. More...
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| static void | MultiplyTranspTranspPlain (IMatrix a, IMatrix b, IMatrix result) |
| | R=A^T*B^T. Multiplies transposed matrix by another transposed matrix, and stores the result in the specified result matrix. This is a plain version of the method that does not perform any consistency checks. WARNING: dimensions of matrices must match, otherwise an exception is thrown. WARNING: This operation can not be performed in place. More...
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| static void | MultiplyTranspTransp (IMatrix a, IMatrix b, IMatrix result) |
| | R=A^T*B^T. Multiplies transposed matrix by another transposed matrix, and stores the result in the specified result matrix. WARNING: dimensions of matrices must match, otherwise an exception is thrown. WARNING: This operation can not be performed in place. More...
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| static void | MultiplyTranspTransp (IMatrix a, IMatrix b, ref IMatrix result) |
| | R=A^T*B^T. Multiplies transposed matrix by another transposed matrix, and stores the result in the specified result matrix. WARNING: dimensions of operands must match, otherwise an exception is thrown. WARNING: This operation can not be performed in place. If dimensions of the result do not match then the result is re-allocated. More...
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| static void | MultiplyPlain (IMatrix a, IMatrix b, IMatrix c, IMatrix result) |
| | R=A*B*C. Multiplies three matrices and stores the result in the specified result matrix. This is a plain version of the method that does not perform any consistency checks. WARNING: dimensions of matrices must match, otherwise an exception is thrown. WARNING: This operation can not be performed in place. More...
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| static void | Multiply (IMatrix a, IMatrix b, IMatrix c, IMatrix result) |
| | R=A*B*C. Multiplies three matrices and stores the result in the specified result matrix. WARNING: dimensions of matrices must match, otherwise an exception is thrown. WARNING: This operation can not be performed in place. More...
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| |
| static void | Multiply (IMatrix a, IMatrix b, IMatrix c, ref IMatrix result) |
| | R=A*B*C. Multiplies three matrices and stores the result in the specified result matrix. WARNING: dimensions of operands must match, otherwise an exception is thrown. WARNING: This operation can not be performed in place. If dimensions of the result do not match then the result is re-allocated. More...
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| |
| static void | MultiplyTranspMatTranspPlain (IMatrix a, IMatrix b, IMatrix c, IMatrix result) |
| | R=A^T*B*C^T. Multiplies three matrices (transposed first argument, second argument, and transposed third argument) and stores the result in the specified result matrix. This is a plain version of the method that does not perform any consistency checks. WARNING: dimensions of all arguments must be consistent, otherwise an exception is thrown. WARNING: This operation can not be performed in place. More...
|
| |
| static void | MultiplyTranspMatTransp (IMatrix a, IMatrix b, IMatrix c, IMatrix result) |
| | R=A^T*B*C^T. Multiplies three matrices (transposed first argument, second argument, and transposed third argument) and stores the result in the specified result matrix. WARNING: dimensions of all arguments must be consistent, otherwise an exception is thrown. WARNING: This operation can not be performed in place. More...
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| |
| static void | MultiplyTranspMatTransp (IMatrix a, IMatrix b, IMatrix c, ref IMatrix result) |
| | R=A^T*B*C^T. Multiplies three matrices (transposed first argument, second argument, and transposed third argument) and stores the result in the specified result matrix. WARNING: dimensions of operands must be consistent, otherwise an exception is thrown. WARNING: This operation can not be performed in place. If dimensions of the result do not match then the result is re-allocated. More...
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| |
| static void | MultiplyTranspMatMatPlain (IMatrix a, IMatrix b, IMatrix c, IMatrix result) |
| | R=A^T*B*C. Multiplies three matrices (transposed first argument, second argument, and third argument) and stores the result in the specified result matrix. This is a plain version of the method that does not perform any consistency checks. WARNING: dimensions of all arguments must be consistent, otherwise an exception is thrown. WARNING: This operation can not be performed in place. More...
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| |
| static void | MultiplyTranspMatMat (IMatrix a, IMatrix b, IMatrix c, IMatrix result) |
| | R=A^T*B*C. Multiplies three matrices (transposed first argument, second argument, and third argument) and stores the result in the specified result matrix. WARNING: dimensions of all arguments must be consistent, otherwise an exception is thrown. WARNING: This operation can not be performed in place. More...
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| |
| static void | MultiplyTranspMatMat (IMatrix a, IMatrix b, IMatrix c, ref IMatrix result) |
| | R=A^T*B*C. Multiplies three matrices (transposed first argument, second argument, and third argument) and stores the result in the specified result matrix. WARNING: dimensions of operands must be consistent, otherwise an exception is thrown. WARNING: This operation can not be performed in place. If dimensions of the result do not match then the result is re-allocated. More...
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| |
| static void | MultiplyMatMatTranspPlain (IMatrix a, IMatrix b, IMatrix c, IMatrix result) |
| | R=A*B*C^T. Multiplies three matrices (first argumet, second argumet, and transposed third argument) and stores the result in the specified result matrix. This is a plain version of the method that does not perform any consistency checks. WARNING: dimensions of matrices must match, otherwise an exception is thrown. WARNING: This operation can not be performed in place. More...
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| |
| static void | MultiplyMatMatTransp (IMatrix a, IMatrix b, IMatrix c, IMatrix result) |
| | R=A*B*C^T. Multiplies three matrices (first argumet, second argumet, and transposed third argument) and stores the result in the specified result matrix. WARNING: dimensions of matrices must match, otherwise an exception is thrown. WARNING: This operation can not be performed in place. More...
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| |
| static void | MultiplyMatMatTransp (IMatrix a, IMatrix b, IMatrix c, ref IMatrix result) |
| | R=A*B*C^T. Multiplies three matrices (first argumet, second argumet, and transposed third argument) and stores the result in the specified result matrix. WARNING: dimensions of operands must match, otherwise an exception is thrown. WARNING: This operation can not be performed in place. If dimensions of the result do not match then the result is re-allocated. More...
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| |
| static void | MultiplyMatTranspMatPlain (IMatrix a, IMatrix b, IMatrix c, IMatrix result) |
| | R=A*B^T*C. Multiplies three matrices (first argument, transposed second argument, and third argument) and stores the result in the specified result matrix. This is a plain version of the method that does not perform any consistency checks. WARNING: dimensions of matrices must match, otherwise an exception is thrown. WARNING: This operation can not be performed in place. More...
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| |
| static void | MultiplyMatTranspMat (IMatrix a, IMatrix b, IMatrix c, IMatrix result) |
| | R=A*B^T*C. Multiplies three matrices (first argument, transposed second argument, and third argument) and stores the result in the specified result matrix. WARNING: dimensions of matrices must match, otherwise an exception is thrown. WARNING: This operation can not be performed in place. More...
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| |
| static void | MultiplyMatTranspMat (IMatrix a, IMatrix b, IMatrix c, ref IMatrix result) |
| | R=A*B^T*C. Multiplies three matrices (first argument, transposed second argument, and third argument) and stores the result in the specified result matrix. WARNING: dimensions of operands must match, otherwise an exception is thrown. WARNING: This operation can not be performed in place. If dimensions of the result do not match then the result is re-allocated. More...
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| |
| static void | MultiplyTranspTranspTranspPlain (IMatrix a, IMatrix b, IMatrix c, IMatrix result) |
| | R=A^T*B^T*C^T. Multiplies three matrices and stores the result in the specified result matrix. This is a plain version of the method that does not perform any consistency checks. WARNING: dimensions of matrices must match, otherwise an exception is thrown. WARNING: This operation can not be performed in place. More...
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| |
| static void | MultiplyTranspTranspTransp (IMatrix a, IMatrix b, IMatrix c, IMatrix result) |
| | R=A^T*B^T*C^T. Multiplies three matrices and stores the result in the specified result matrix. WARNING: dimensions of matrices must match, otherwise an exception is thrown. WARNING: This operation can not be performed in place. More...
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| |
| static void | MultiplyTranspTranspTransp (IMatrix a, IMatrix b, IMatrix c, ref IMatrix result) |
| | R=A^T*B^T*C^T. Multiplies three matrices and stores the result in the specified result matrix. WARNING: dimensions of operands must match, otherwise an exception is thrown. WARNING: This operation can not be performed in place. If dimensions of the result do not match then the result is re-allocated. More...
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| |
| static void | MultiplyPlain (IMatrix a, IVector b, IVector result) |
| | R=A*b. Multiplies a matrix with a vector and stores the result in the specified result vector. Operation can not be performed in place. This is a plain version of the method that does not perform any consistency checks. WARNING: dimensions of matrices must match, otherwise an exception is thrown. More...
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| |
| static void | Multiply (IMatrix a, IVector b, IVector result) |
| | R=A*b. Multiplies a matrix with a vector and stores the result in the specified result vector. Operation can not be performed in place. WARNING: dimensions of matrices must match, otherwise an exception is thrown. More...
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| |
| static void | Multiply (IMatrix a, IVector b, ref IVector result) |
| | R=A*b. Multiplies matrix by scalar and stores the result in the specified result matrix. Operation can not be performed in place. WARNING: dimensions of operands must match, otherwise an exception is thrown. If dimensions of the result do not match then the result is re-allocated. More...
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| |
| static void | MultiplyTranspVecPlain (IMatrix a, IVector b, IVector result) |
| | R=A^T*b. Multiplies a transposed matrix with a vector and stores the result in the specified result vector. Operation can not be performed in place. This is a plain version of the method that does not perform any consistency checks. WARNING: dimensions of matrices must match, otherwise an exception is thrown. More...
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| |
| static void | MultiplyTranspVec (IMatrix a, IVector b, IVector result) |
| | R=A^T*b. Multiplies a transposed matrix with a vector and stores the result in the specified result vector. Operation can not be performed in place. WARNING: dimensions of matrices must match, otherwise an exception is thrown. More...
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| |
| static void | MultiplyTranspVec (IMatrix a, IVector b, ref IVector result) |
| | R=A^T*b. Multiplies transposed matrix by scalar and stores the result in the specified result matrix. Operation can not be performed in place. WARNING: dimensions of operands must match, otherwise an exception is thrown. If dimensions of the result do not match then the result is re-allocated. More...
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| |
| static double | MultiplyPlain (IVector left, IMatrix a, IVector right) |
| | R=a^T*M*b. Left-multiplies a matrix with a vector (transposed), right multiplies the result vith another vector, and returns the final result. Can be performed in place. This is a plain version of the method that does not perform any consistency checks. WARNING: dimensions of matrices must match, otherwise an exception is thrown. More...
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| |
| static double | Multiply (IVector left, IMatrix a, IVector right) |
| | R=a^T*M*b. Left-multiplies a matrix with a vector (transposed), right multiplies the result vith another vector, and returns the final result. Can be performed in place. WARNING: dimensions of matrices must match, otherwise an exception is thrown. More...
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| |
| static double | Multiply (IVector left, IMatrix a, IVector right, ref IVector result) |
| | R=a^T*M*b. Left-multiplies a matrix with a vector (transposed), right multiplies the result vith another vector, and returns the final result. Can be performed in place. WARNING: dimensions of operands must match, otherwise an exception is thrown. If dimensions of the result do not match then the result is re-allocated. More...
|
| |
| static void | MultiplyPlain (IMatrix a, double b, IMatrix result) |
| | Multiplies matrix by scalar and stores the result in the specified result matrix. This is a plain version of the method that does not perform any consistency checks. This operation can be performed in place. WARNING: dimensions of matrices must match, otherwise an exception is thrown. More...
|
| |
| static void | Multiply (IMatrix a, double b, IMatrix result) |
| | Multiplies matrix by scalar and stores the result in the specified result matrix. This operation can be performed in place. WARNING: dimensions of matrices must match, otherwise an exception is thrown. More...
|
| |
| static void | Multiply (IMatrix a, double b, ref IMatrix result) |
| | Multiplies matrix by scalar and stores the result in the specified result matrix. This operation can be performed in place. WARNING: dimensions of operands must match, otherwise an exception is thrown. If dimensions of the result do not match then the result is re-allocated. More...
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| |
| static void | DividePlain (IMatrix a, double b, IMatrix result) |
| | Divides matrix by scalar and stores the result in the specified result matrix. This is a plain version of the method that does not perform any consistency checks. This operation can be performed in place. WARNING: dimensions of matrices must match, otherwise an exception is thrown. More...
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| |
| static void | Divide (IMatrix a, double b, IMatrix result) |
| | Divides matrix by scalar and stores the result in the specified result matrix. This operation can be performed in place. WARNING: dimensions of matrices must match, otherwise an exception is thrown. More...
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| |
| static void | Divide (IMatrix a, double b, ref IMatrix result) |
| | Divides matrix by scalar and stores the result in the specified result matrix. This operation can be performed in place. WARNING: dimensions of operands must match, otherwise an exception is thrown. If dimensions of the result do not match then the result is re-allocated. More...
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| |
| static void | MultiplyDiagonalPlain (IVector diag, IMatrix a, IMatrix result) |
| | Left-multiplies a matrix with a diagonal matrix, and stores the result in the specified result matrix. R=diag(d)*A This is a plain version of the method that does not perform any consistency checks. The operation can be done in place. WARNING: dimensions of matrices must match, otherwise an exception is thrown. More...
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| |
| static void | MultiplyDiagonal (IVector diag, IMatrix a, IMatrix result) |
| | Right-multiplies a matrix with a diagonal matrix, and stores the result in the specified result matrix. R=diag(d)*A WARNING: dimensions of matrices must match, otherwise an exception is thrown. More...
|
| |
| static void | MultiplyDiagonal (IVector diag, IMatrix a, ref IMatrix result) |
| | Right-multiplies a matrix with a diagonal matrix, and stores the result in the specified result matrix. R=diag(d)*A WARNING: dimensions of operands must match, otherwise an exception is thrown. If dimensions of the result do not match then the result is re-allocated. More...
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| |
| static void | MultiplyInverseDiagonalPlain (IVector diag, IMatrix a, IMatrix result) |
| | Left-multiplies a matrix with inverse of a diagonal matrix, and stores the result in the specified result matrix. R=diag(d)^-1*A This is a plain version of the method that does not perform any consistency checks. The operation can be done in place. WARNING: dimensions of matrices must match, otherwise an exception is thrown. More...
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| |
| static void | MultiplyInverseDiagonal (IVector diag, IMatrix a, IMatrix result) |
| | Right-multiplies a matrix with inverse of a diagonal matrix, and stores the result in the specified result matrix. R=diag(d)^-1*A WARNING: dimensions of matrices must match, otherwise an exception is thrown. More...
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| |
| static void | MultiplyInverseDiagonal (IVector diag, IMatrix a, ref IMatrix result) |
| | Right-multiplies a matrix with inverse of a diagonal matrix, and stores the result in the specified result matrix. R=diag(d)^-1*A WARNING: dimensions of operands must match, otherwise an exception is thrown. If dimensions of the result do not match then the result is re-allocated. More...
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| |
| static void | MultiplyDiagonalPlain (IMatrix a, IVector diag, IMatrix result) |
| | Right-multiplies a matrix with a diagonal matrix, and stores the result in the specified result matrix. R=A*diag(d) This is a plain version of the method that does not perform any consistency checks. The operation can be done in place. WARNING: dimensions of matrices must match, otherwise an exception is thrown. More...
|
| |
| static void | MultiplyDiagonal (IMatrix a, IVector diag, IMatrix result) |
| | Right-multiplies a matrix with a diagonal matrix, and stores the result in the specified result matrix. R=A*diag(d) WARNING: dimensions of matrices must match, otherwise an exception is thrown. More...
|
| |
| static void | MultiplyDiagonal (IMatrix a, IVector diag, ref IMatrix result) |
| | Right-multiplies a matrix with a diagonal matrix, and stores the result in the specified result matrix. R=A*diag(d) WARNING: dimensions of operands must match, otherwise an exception is thrown. If dimensions of the result do not match then the result is re-allocated. More...
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| |
| static void | MultiplyInverseDiagonalPlain (IMatrix a, IVector diag, IMatrix result) |
| | Right-multiplies a matrix with inverse of a diagonal matrix, and stores the result in the specified result matrix. R=A*diag(d)^-1 This is a plain version of the method that does not perform any consistency checks. The operation can be done in place. WARNING: dimensions of matrices must match, otherwise an exception is thrown. More...
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| |
| static void | MultiplyInverseDiagonal (IMatrix a, IVector diag, IMatrix result) |
| | Right-multiplies a matrix with inverse of a diagonal matrix, and stores the result in the specified result matrix. R=A*diag(d)^-1 WARNING: dimensions of matrices must match, otherwise an exception is thrown. More...
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| |
| static void | MultiplyInverseDiagonal (IMatrix a, IVector diag, ref IMatrix result) |
| | Right-multiplies a matrix with inverse of a diagonal matrix, and stores the result in the specified result matrix. R=A*diag(d)^-1 WARNING: dimensions of operands must match, otherwise an exception is thrown. If dimensions of the result do not match then the result is re-allocated. More...
|
| |
| static int | GetHashCode (IMatrix mat) |
| | Returns hashRet code of the specified matrix. More...
|
| |
| static bool | Equals (IMatrix m1, IMatrix m2) |
| | Returns true if the specified matrices are equal, false if not. More...
|
| |
| static int | GetHashFunctionInt (IMatrix mat) |
| | Returns an integer valued hashRet function of the specified matrix object. More...
|
| |
| static string | GetHashFunctionString (IMatrix mat) |
| | Returns a string valued hashRet function of the specified matrix object. More...
|
| |
| static string | ToStringReadable (IMatrix mat, int accuracy=4, int padding=8) |
| | Returns a readable string form of a matrix, accuracy and padding can be set. More...
|
| |
| static string | ToStringNewlines (IMatrix mat) |
| | Returns a string representation of the specified matrix with newlines inserted after each row. Rows and elements are printed in comma separated lists in curly brackets. More...
|
| |
| static string | ToStringNewlines (IMatrix mat, string elementFormat) |
| | Returns a string representation of the specified matrix with newlines inserted after each row, with the specified format for elements of the matrix. Rows and elements are printed in comma separated lists in curly brackets. More...
|
| |
| static string | ToString (IMatrix mat) |
| | Returns string representation of the current matrix in the standard IGLib form (Mathematica-like format but with C representation of numbers). Rows and elements are printed in comma separated lists in curly brackets. More...
|
| |
| static string | ToStringMath (IMatrix mat) |
| | Returns string representation of the current matrix in the standard IGLib form (Mathematica-like format but with C representation of numbers). Rows and elements are printed in comma separated lists in curly brackets. More...
|
| |
| static string | ToString (IMatrix mat, string elementFormat) |
| | Returns string representation of the current matrix in the standard IGLib form (Mathematica-like format but with C representation of numbers), with the specified format for elements of the matrix. Rows and elements are printed in comma separated lists in curly brackets. More...
|
| |
| static string | ToStringMath (IMatrix mat, string elementFormat) |
| | Returns string representation of the current matrix in the standard IGLib form (Mathematica-like format but with C representation of numbers), with the specified format for elements of the matrix. Rows and elements are printed in comma separated lists in curly brackets. More...
|
| |
| static void | SaveJson (IMatrix mat, string filePath) |
| | Saves (serializes) the specified matrix to the specified JSON file. File is owerwritten if it exists. More...
|
| |
| static void | SaveJson (IMatrix mat, string filePath, bool append) |
| | Saves (serializes) the specified matrix to the specified JSON file. More...
|
| |
| static void | LoadJson (string filePath, ref IMatrix matRestored) |
| | Restores (deserializes) a matrix object from the specified file in JSON format. More...
|
| |
| static MatrixBase | operator+ (MatrixBase m) |
| | Unary plus, returns the operand. More...
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| |
| static MatrixBase | operator- (MatrixBase m) |
| | Unary negation, returns the negative operand. More...
|
| |
| static MatrixBase | operator+ (MatrixBase a, MatrixBase b) |
| | Matrix addition. More...
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| |
| static MatrixBase | operator- (MatrixBase a, MatrixBase b) |
| | Matrix subtraction. More...
|
| |
| static MatrixBase | operator* (MatrixBase a, MatrixBase b) |
| | Product of two matrices. More...
|
| |
| static VectorBase | operator* (MatrixBase a, VectorBase b) |
| | Product of a matrix and a vector. More...
|
| |
| static MatrixBase | operator* (MatrixBase a, double b) |
| | Product of a matrix by a scalar. More...
|
| |
| static MatrixBase | operator* (double a, MatrixBase b) |
| | Product of a matrix by a scalar. More...
|
| |
| static MatrixBase | operator/ (MatrixBase a, double b) |
| | Matrix subtraction. More...
|
| |
| static double | DeterminantSlow (IMatrix A) |
| | Simpler but slower (compared to Determinant) implementation of determinant calculation of an arbitrary square real matrix. More...
|
| |
| static double | Determinant (IMatrix A, ref int[] auxPermutations, ref IMatrix auxLU) |
| | Calculates and returns determinant of a real-valued square matrix. More...
|
| |
| static void | LuDecompose (IMatrix A, out int toggle, ref int[] perm, ref IMatrix result) |
| | Calculates thr Doolittle LU decomposition with partial pivoting (LUP) of a square real matrix. More...
|
| |
| static void | LuSolve (IMatrix luMatrix, int[] perm, IVector b, ref IVector auxVec, ref IVector x) |
| | Solves a system of equations with the specified right-hand sides and the specified LU decomposition of the system matrix. More...
|
| |
| static void | LuSolve (IMatrix luMatrix, int[] perm, IMatrix B, ref IVector auxVec, ref IVector auxRight, ref IVector auxX, ref IMatrix X) |
| | Calculates inverse of the matrix from its specified LU decomposition. More...
|
| |
| static void | LuInverse (IMatrix luMatrix, int[] perm, ref IVector auxRight, ref IVector auxX, ref IMatrix res) |
| | Calculates inverse of the matrix from its specified LU decomposition. More...
|
| |
| static double | LuDeterminant (IMatrix luMatrix, int toggle) |
| | Calculates and returns matrix determinant form its specified LU decomposition. More...
|
| |
| static void | LuExtractLower (IMatrix matLu, ref IMatrix result) |
| | Extracts the lower part of the Doolittle specified LU decomposition (1s on diagonal, 0s in above diagonal) and stores it in the specified result matrix. More...
|
| |
| static IMatrix | LuExtractUpper (IMatrix matLu, ref IMatrix result) |
| | Extracts the upper part of the specified Doolittle LU decomposition 0s below diagonal) and stores it in the specified result matrix. More...
|
| |
| static void | PermutationArrayToMatrix (int[] perm, ref IMatrix res) |
| | Calculates and stores permutation matrix that correspond to the specified permutation array. More...
|
| |
| static void | Permute (IMatrix A, int[] permutations, ref IMatrix result) |
| | Permutes rows of the specified aquare matrix according to the specified permutations array. More...
|
| |
| static void | UnPermute (IMatrix Apermuted, int[] permutations, ref int[] auxArray, ref IMatrix result) |
| | Unpermutes the product of the specified DooLittle LU decomposition according to permutations array. More...
|
| |
| static bool | TestLuDecomposition (int dim, int numRepetitions=1, double tol=1e-6, int outputLevel=0, IRandomGenerator randomGenerator=null, IMatrix A=null, IVector b=null) |
| | Performs a test of calculatons performed via LU decomposition of a matrix. Calculation times and error extents are measured and reported (if specified). More...
|
| |
| static void | TestLuDecompositionDemo () |
| | Demonstration of usae of LU decomposition. More...
|
| |
| static bool | LdltDecompose (IMatrix A, ref IMatrix result, double tol=1e-12) |
| | Calculates LDLT decomposition of a real symmetric square matrix. More...
|
| |
| static void | LdltSolve (IMatrix decomposed, IVector b, ref IVector x) |
| | Solves a system of eauations with the specified LDLT decomposition of a real symmetric square matrix. More...
|
| |
| static void | LdltSolve (IMatrix ldltMatrix, IMatrix B, ref IVector auxX, ref IMatrix X) |
| | Calculates inverse of the matrix from its specified LDLT-decomposed matrix. More...
|
| |
| static void | LdltInverse (IMatrix ldltMatrix, ref IVector auxX, ref IMatrix res) |
| | Calculates inverse of the matrix from its specified LDLT decomposition. More...
|
| |
| static double | LdltDeterminant (IMatrix ldltMatrix) |
| | Calculates and returns determinant of a square symmetric matrix form its specified LDLT decomposition. More...
|
| |
| static void | LdltExtractLower (IMatrix matLdlt, ref IMatrix result) |
| | Extracts the lower part of the specified LDLT decomposition (1s on diagonal, 0s above diagonal) and stores it in the specified result matrix. More...
|
| |
| static IMatrix | LdltExtractUpper (IMatrix matLdlt, ref IMatrix result) |
| | Extracts the upper part of the specified LDLT decomposition (1s on diagonal, 0s in below diagonal) and stores it in the specified result matrix. More...
|
| |
| static IMatrix | LdltExtractDiagonal (IMatrix matLdlt, ref IMatrix result) |
| | Extracts the diagonal part of the specified LDLT decomposition and stores it in the specified result matrix. More...
|
| |
| static bool | TestLdltDecomposition (int dim, int numRepetitions=1, double tol=1e-6, int outputLevel=0, IRandomGenerator randomGenerator=null, IMatrix A=null, IVector b=null) |
| | Performs a test of calculatons performed via LDLT decomposition of a matrix. Calculation times and error extents are measured and reported (if specified). More...
|
| |
| static bool | CholeskyDecompose (IMatrix A, ref IMatrix result, double tol=1e-12) |
| | Calculates Cholesky decomposition of a real symmetric square matrix. More...
|
| |
| static void | CholeskySolve (IMatrix decomposed, IVector b, ref IVector x) |
| | Solves a system of eauations with the specified Cholesky decomposition of a real symmetric square matrix. More...
|
| |
| static void | CholeskySolve (IMatrix CholeskyMatrix, IMatrix B, ref IVector auxX, ref IMatrix X) |
| | Calculates inverse of the matrix from its specified Cholesky-decomposed matrix. More...
|
| |
| static void | CholeskyInverse (IMatrix CholeskyMatrix, ref IVector auxX, ref IMatrix res) |
| | Calculates inverse of the matrix from its specified Cholesky decomposition. More...
|
| |
| static double | CholeskyDeterminant (IMatrix CholeskyMatrix) |
| | Calculates and returns determinant of a square symmetric matrix form its specified Cholesky decomposition. More...
|
| |
| static void | CholeskyExtractLower (IMatrix matCholesky, ref IMatrix result) |
| | Extracts the lower part of the specified Cholesky decomposition (0s above diagonal) and stores it in the specified result matrix. More...
|
| |
| static IMatrix | CholeskyExtractUpper (IMatrix matCholesky, ref IMatrix result) |
| | Extracts the upper part of the specified Cholesky decomposition (0s in below diagonal) and stores it in the specified result matrix. More...
|
| |
| static bool | TestCholeskyDecomposition (int dim, int numRepetitions=1, double tol=1e-6, int outputLevel=0, IRandomGenerator randomGenerator=null, IMatrix A=null, IVector b=null) |
| | Performs test of calculatons performed via Cholesky decomposition of a matrix. Calculation times and error extents are measured and reported (if specified so). More...
|
| |
| static void | TestCholeskyDecompositionDemo () |
| | Demonstration of usae of Cholesky decomposition. More...
|
| |
| static bool | QrDecomposeGrammSchmidt (IMatrix A, ref IMatrix resQ, ref IMatrix resR, double tol=1e-12) |
| | Calculates QR decomposition of a real invertible matrix by using Gramm-Schmidt orthogonalization. More...
|
| |
| static bool | QrDecompose (IMatrix A, ref IMatrix resQ, ref IMatrix resR, double tol=1e-12) |
| | Calculates QR decomposition of a real invertible matrix. More...
|
| |
| static void | QrSolve (IMatrix factorQ, IMatrix factorR, IVector b, ref IVector x) |
| | Solves a system of eauations with the specified QR decomposition of a real symmetric square matrix. More...
|
| |
| static void | QrSolve (IMatrix factorQ, IMatrix factorR, IMatrix B, ref IVector auxB, ref IVector auxX, ref IMatrix X) |
| | Calculates inverse of the matrix from its specified LDLT-decomposed matrix. More...
|
| |
| static void | QrInverse (IMatrix factorQ, IMatrix factorR, ref IVector auxB, ref IVector auxX, ref IMatrix res) |
| | Calculates inverse of the matrix from its specified LDLT decomposition. More...
|
| |
| static bool | TestMatrixProducts (bool printReports) |
| | Tests various matrix and vector products with fixed tolerance of 1.0E-6. More...
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| static bool | TestMatrixProducts (double tolerance) |
| | Tests various matrix and vector products, without printing reports. More...
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| static bool | TestMatrixProducts () |
| | Tests various matrix and vector products with fixed tolerance of 1.0E-6 and without printing reports. More...
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| static bool | TestMatrixProducts (double tolerance, bool printReports) |
| | Tests various matrix and vector products. More...
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| static void | TestStaticMethodCommon () |
| | A test method, just prints some output. More...
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| static void | TestStaticMethodSpecific () |
| | A test method, just prints some output. More...
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| static bool | TestIndices (int dim1=3, int dim2=4, IMatrix providedMatrix=null) |
| | Performs test of converson between double indexing and flat indexing of matric elements,. Returns true if successful, false othwrwise. More...
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Inheritance diagram for IG.Num.Matrix2d:
1.8.8