/home/fayn/OpenKraken-dev/OpenKN-math/src/InverseMatrix.hpp File Reference

#include "SVD.hpp"
#include "GaussianElimination.hpp"

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Namespaces

namespace kn

Functions

Matrix< double > kn::inverseMatrixSVD (const Matrix< double > &m)

Compute the inverse of a given square matrix The inverse is given by A^(-1) = V*[1/D]*U^(t) with V, D and U computed with the SVD.

Matrix< double > kn::pseudoInverseMatrixSVD (const Matrix< double > &m)

Compute the pseudo-inverse of a given singular matrix The pseudo-inverse is given by A^(+) = (A^(T)*A)^(-1)*A^(T) (A^(T)*A)^(-1) is computed using SVD inverting process.

Matrix< double > kn::inverseMatrixGaussianElimination (const Matrix< double > &m, const bool total=false)

Compute the inverse of a given square matrix The inverse is computed with a gaussian elimination.

Matrix< double > kn::pseudoInverseMatrixGaussianElimination (const Matrix< double > &m, const bool total=false)

Compute the pseudo-inverse of a given singular matrix The pseudo-inverse is given by A^(+) = (A^(T)*A)^(-1)*A^(T) (A^(T)*A)^(-1) is computed using a gaussian elimation inverting process.


Namespaces
namespace	kn
Functions
Matrix< double >	kn::inverseMatrixSVD (const Matrix< double > &m)
	Compute the inverse of a given square matrix The inverse is given by A^(-1) = V[1/D]U^(t) with V, D and U computed with the SVD.
Matrix< double >	kn::pseudoInverseMatrixSVD (const Matrix< double > &m)
	Compute the pseudo-inverse of a given singular matrix The pseudo-inverse is given by A^(+) = (A^(T)A)^(-1)A^(T) (A^(T)*A)^(-1) is computed using SVD inverting process.
Matrix< double >	kn::inverseMatrixGaussianElimination (const Matrix< double > &m, const bool total=false)
	Compute the inverse of a given square matrix The inverse is computed with a gaussian elimination.
Matrix< double >	kn::pseudoInverseMatrixGaussianElimination (const Matrix< double > &m, const bool total=false)
	Compute the pseudo-inverse of a given singular matrix The pseudo-inverse is given by A^(+) = (A^(T)A)^(-1)A^(T) (A^(T)*A)^(-1) is computed using a gaussian elimation inverting process.