IGLib 1.4
The IGLib base library for development of numerical, technical and business applications.

FunctionScalarExamples.cs File Reference

Classes

class  IG::Num::ScalarFunctionLinear
 Quadratic scalar function of vector variable. Function is evaluated according to q(x) = (1/2)*x^T*G*x + b^T*x + c where x is vector of parameters, G is constant Hessian matrix, b is vector of linear coefficients (gradient at x=0) and c is the scalar term (function value at x=0). More...
class  IG::Num::ScalarFunctionQuadratic
 Quadratic scalar function of vector variable. Function is evaluated according to q(x) = (1/2)*x^T*G*x + b^T*x + c where x is vector of parameters, G is constant Hessian matrix, b is vector of linear coefficients (gradient at x=0) and c is the scalar term (function value at x=0). More...
class  IG::Num::ScalarFunctionExamples
 Various examples of scalar functions. More...
class  IG::Num::ScalarFunctionExamples::Rosenbrock
 RosenBrock function. f(x,y) = (1-x)^2 + 100 * (y-x^2)^2. More...
class  IG::Num::ScalarFunctionExamples::RosenbrockGeneralizedAdjacent
 Generalzed multivariate RosenBrock function for Dim >= 2. f(x,y) = Sum[i=0...N-2]{(1-x_{i})^2 + 100 * (x_{i+1}-x_{i}^2)^2} More...
class  IG::Num::ScalarFunctionExamples::RosenbrockGeneralizedExhaustive
 Generalzed multivariate RosenBrock function for Dim >= 2. f(x,y) = Sum[i=0...N-2]{(1-x_{i})^2 + 100 * (x_{i+1}-x_{i}^2)^2} More...
class  IG::Num::ScalarFunctionExamples::ParaboloidSymmetric2D
 Symmetric paraboloid centered at coordinate origin. f(x,y) = x^2 + y^2 - R2. If R2 is positive then 0-level is a circle, if it is negative then the paraboloid does not intersect with zero-plane. Default is R2 = 1 (default constructor). More...
class  IG::Num::ScalarFunctionExamples::Quadratic2d
 Example quadratic polynomial in 2D. f(x,y) = 2*x^2 + y^2 + x*y + x + y + 10. More...
class  IG::Num::ScalarFunctionExamples::Quadratic3d
 Example quadratic polynomial in 3D. f(x,y,z) = x*x + 2*y*y + 4*z*z + x*y + 2*y*z + 4*z*x + x + y + z + 10. More...

Namespaces

namespace  IG::Num
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