IGLib  1.7.2
The IGLib base library EXTENDED - with other lilbraries and applications.
 All Classes Namespaces Files Functions Variables Typedefs Enumerations Enumerator Properties Events Macros
Public Member Functions | Static Public Member Functions | Static Private Member Functions | List of all members
Test.SquareMatrixTest Class Reference

Public Member Functions

void SquareMatrixInvalidDimensionTest ()
 
void SquareMatrixAccess ()
 
void SquareMatrixArithmetic ()
 
void SquareVandermondeMatrixInverse ()
 
void SquareRandomMatrixInverse ()
 
void SquareRandomMatrixQRDecomposition ()
 
void SquareRandomMatrixLUDecomposition ()
 
void SquareVandermondeMatrixLUDecomposition ()
 
void SquareVandermondeMatrixEigenvalues ()
 
void SquareRandomMatrixEigenvalues ()
 
void SquareUnitMatrixLUDecomposition ()
 
void SquareUnitMatrixEigensystem ()
 
void SquareMatrixDifficultEigensystem ()
 
void KnownEigenvalues ()
 
void DegenerateEigenvalues ()
 
void SquareMatrixStochasticEigensystem ()
 
void TimedEigenvalues ()
 
void SquareMatrixNorms ()
 
void HilbertMatrixSVD ()
 
void CompanionMatrixEigenvalues ()
 
void MatrixPeriodTest ()
 
void SvdOfRankOneMatrix ()
 

Static Public Member Functions

static void PrintMatrix (AnyRectangularMatrix M)
 
static void PrintMatrix (double[,] A)
 

Static Private Member Functions

static SquareMatrix CreateSquareRandomMatrix (int n)
 
static SquareMatrix CreateSquareRandomMatrix (int n, int seed)
 
static SquareMatrix CreateVandermondeMatrix (int n)
 
static SquareMatrix CreateVandermondeMatrix (double[] x)
 

Member Function Documentation

static void Test.SquareMatrixTest.PrintMatrix ( AnyRectangularMatrix  M)
inlinestatic

References Meta.Numerics.Matrices.AnyMatrix< T >.ColumnCount, and Meta.Numerics.Matrices.AnyMatrix< T >.RowCount.

Referenced by Test.SquareMatrixTest.SquareVandermondeMatrixInverse().

static SquareMatrix Test.SquareMatrixTest.CreateSquareRandomMatrix ( int  n)
inlinestaticprivate

Referenced by Test.SquareMatrixTest.SquareMatrixArithmetic(), Test.SquareMatrixTest.SquareMatrixNorms(), Test.SquareMatrixTest.SquareRandomMatrixEigenvalues(), Test.SquareMatrixTest.SquareRandomMatrixInverse(), Test.SquareMatrixTest.SquareRandomMatrixLUDecomposition(), and Test.SquareMatrixTest.SquareRandomMatrixQRDecomposition().

static SquareMatrix Test.SquareMatrixTest.CreateSquareRandomMatrix ( int  n,
int  seed 
)
inlinestaticprivate
static SquareMatrix Test.SquareMatrixTest.CreateVandermondeMatrix ( int  n)
inlinestaticprivate

Referenced by Test.SquareMatrixTest.SquareMatrixAccess(), Test.SquareMatrixTest.SquareMatrixNorms(), Test.SquareMatrixTest.SquareVandermondeMatrixEigenvalues(), Test.SquareMatrixTest.SquareVandermondeMatrixInverse(), and Test.SquareMatrixTest.SquareVandermondeMatrixLUDecomposition().

static SquareMatrix Test.SquareMatrixTest.CreateVandermondeMatrix ( double[]  x)
inlinestaticprivate
void Test.SquareMatrixTest.SquareMatrixInvalidDimensionTest ( )
inline
void Test.SquareMatrixTest.SquareMatrixAccess ( )
inline

References Meta.Numerics.Matrices.SquareMatrix.Column(), Meta.Numerics.Matrices.SquareMatrix.Copy(), Test.SquareMatrixTest.CreateVandermondeMatrix(), Meta.Numerics.Matrices.SquareMatrix.Dimension, Meta.Numerics.Matrices.VectorBase.Dimension, and Meta.Numerics.Matrices.SquareMatrix.Row().

void Test.SquareMatrixTest.SquareMatrixArithmetic ( )
inline

References Test.SquareMatrixTest.CreateSquareRandomMatrix(), and Meta.Numerics.Matrices.SquareMatrix.Transpose().

void Test.SquareMatrixTest.SquareVandermondeMatrixInverse ( )
inline

References Test.SquareMatrixTest.CreateVandermondeMatrix(), Meta.Numerics.Matrices.SquareMatrix.Inverse(), and Test.SquareMatrixTest.PrintMatrix().

void Test.SquareMatrixTest.SquareRandomMatrixInverse ( )
inline

References Test.SquareMatrixTest.CreateSquareRandomMatrix(), and Meta.Numerics.Matrices.SquareMatrix.Inverse().

void Test.SquareMatrixTest.SquareRandomMatrixQRDecomposition ( )
inline

References Test.SquareMatrixTest.CreateSquareRandomMatrix(), Meta.Numerics.Matrices.SquareMatrix.Dimension, Meta.Numerics.Matrices.SquareQRDecomposition.Dimension, Meta.Numerics.Matrices.SquareQRDecomposition.Inverse(), Meta.Numerics.Matrices.SquareQRDecomposition.QMatrix(), Meta.Numerics.Matrices.SquareMatrix.QRDecomposition(), Meta.Numerics.Matrices.SquareQRDecomposition.RMatrix(), and Meta.Numerics.Matrices.SquareQRDecomposition.Solve().

void Test.SquareMatrixTest.SquareRandomMatrixLUDecomposition ( )
inline

References Test.SquareMatrixTest.CreateSquareRandomMatrix(), Meta.Numerics.Matrices.LUDecomposition.Dimension, Meta.Numerics.Matrices.LUDecomposition.Inverse(), Meta.Numerics.Matrices.LUDecomposition.LMatrix(), Meta.Numerics.Matrices.SquareMatrix.LUDecomposition(), Meta.Numerics.Matrices.LUDecomposition.PMatrix(), Meta.Numerics.Matrices.LUDecomposition.Solve(), and Meta.Numerics.Matrices.LUDecomposition.UMatrix().

void Test.SquareMatrixTest.SquareVandermondeMatrixLUDecomposition ( )
inline

References Test.SquareMatrixTest.CreateVandermondeMatrix(), Meta.Numerics.Matrices.LUDecomposition.Determinant(), Meta.Numerics.Matrices.LUDecomposition.Inverse(), Meta.Numerics.Matrices.LUDecomposition.LMatrix(), Meta.Numerics.Matrices.SquareMatrix.LUDecomposition(), Meta.Numerics.Matrices.LUDecomposition.PMatrix(), Meta.Numerics.Matrices.LUDecomposition.Solve(), and Meta.Numerics.Matrices.LUDecomposition.UMatrix().

void Test.SquareMatrixTest.SquareVandermondeMatrixEigenvalues ( )
inline

References Test.SquareMatrixTest.CreateVandermondeMatrix(), Meta.Numerics.Matrices.SquareMatrix.Eigensystem(), Meta.Numerics.Matrices.ComplexEigensystem.Eigenvalue(), Meta.Numerics.Matrices.ComplexEigensystem.Eigenvector(), Meta.Numerics.Complex.Re, and Meta.Numerics.Matrices.AnySquareMatrix.Trace().

void Test.SquareMatrixTest.SquareRandomMatrixEigenvalues ( )
inline

References Test.SquareMatrixTest.CreateSquareRandomMatrix(), Meta.Numerics.Matrices.ComplexEigensystem.Dimension, Meta.Numerics.Matrices.SquareMatrix.Eigensystem(), Meta.Numerics.Matrices.ComplexEigensystem.Eigenvalue(), Meta.Numerics.Matrices.ComplexEigensystem.Eigenvector(), and Meta.Numerics.Matrices.AnySquareMatrix.Trace().

void Test.SquareMatrixTest.SquareUnitMatrixLUDecomposition ( )
inline

References Meta.Numerics.Matrices.LUDecomposition.Determinant(), Meta.Numerics.Matrices.LUDecomposition.Inverse(), Meta.Numerics.Matrices.SquareMatrix.LUDecomposition(), and Meta.Numerics.Matrices.AnySquareMatrix.Trace().

void Test.SquareMatrixTest.SquareUnitMatrixEigensystem ( )
inline

References Meta.Numerics.Matrices.ComplexEigensystem.Dimension, Meta.Numerics.Matrices.SquareMatrix.Eigensystem(), Meta.Numerics.Matrices.ComplexEigensystem.Eigenvalue(), and Meta.Numerics.Matrices.ComplexEigensystem.Eigenvector().

void Test.SquareMatrixTest.SquareMatrixDifficultEigensystem ( )
inline

References Meta.Numerics.Matrices.ComplexEigensystem.Dimension, Meta.Numerics.Matrices.SquareMatrix.Eigensystem(), Meta.Numerics.Matrices.ComplexEigensystem.Eigenvalue(), and Meta.Numerics.Matrices.ComplexEigensystem.Eigenvector().

void Test.SquareMatrixTest.KnownEigenvalues ( )
inline

References Meta.Numerics.Matrices.SquareMatrix.Eigenvalues().

void Test.SquareMatrixTest.DegenerateEigenvalues ( )
inline

References Meta.Numerics.Matrices.SquareMatrix.Eigensystem().

void Test.SquareMatrixTest.SquareMatrixStochasticEigensystem ( )
inline

References Meta.Numerics.Matrices.ComplexEigensystem.Dimension, Meta.Numerics.Matrices.SquareMatrix.Eigensystem(), Meta.Numerics.Matrices.ComplexEigensystem.Eigenvalue(), and Meta.Numerics.Matrices.ComplexEigensystem.Eigenvector().

static void Test.SquareMatrixTest.PrintMatrix ( double  A[,])
inlinestatic
void Test.SquareMatrixTest.TimedEigenvalues ( )
inline

References Meta.Numerics.Matrices.SquareMatrix.Eigenvalues().

void Test.SquareMatrixTest.SquareMatrixNorms ( )
inline

References Test.SquareMatrixTest.CreateSquareRandomMatrix(), Test.SquareMatrixTest.CreateVandermondeMatrix(), Meta.Numerics.Matrices.AnyRectangularMatrix.FrobeniusNorm(), Meta.Numerics.Matrices.SquareMatrix.InfinityNorm(), and Meta.Numerics.Matrices.SquareMatrix.OneNorm().

void Test.SquareMatrixTest.HilbertMatrixSVD ( )
inline

References Meta.Numerics.Matrices.SingularValueDecomposition.Dimension, Meta.Numerics.Matrices.SingularValueDecomposition.LeftTransformMatrix(), Meta.Numerics.Matrices.SingularValueDecomposition.RightTransformMatrix(), Meta.Numerics.Matrices.SingularValueDecomposition.SingularValue(), Meta.Numerics.Matrices.SquareMatrix.SingularValueDecomposition(), and Meta.Numerics.Matrices.SquareMatrix.Transpose().

void Test.SquareMatrixTest.CompanionMatrixEigenvalues ( )
inline

References Meta.Numerics.Functions.AdvancedIntegerMath.BinomialCoefficient(), Meta.Numerics.Matrices.ComplexEigensystem.Dimension, Meta.Numerics.Matrices.SquareMatrix.Eigensystem(), and Meta.Numerics.Matrices.ComplexEigensystem.Eigenvalue().

void Test.SquareMatrixTest.MatrixPeriodTest ( )
inline

References Meta.Numerics.Matrices.SquareMatrix.Power().

void Test.SquareMatrixTest.SvdOfRankOneMatrix ( )
inline

References Meta.Numerics.Matrices.SingularValueDecomposition.Dimension, Meta.Numerics.Matrices.SingularValueDecomposition.SingularValue(), Meta.Numerics.Matrices.RectangularMatrix.SingularValueDecomposition(), and Meta.Numerics.Matrices.ColumnVector.Transpose().

The documentation for this class was generated from the following file: