MathLin_EigenSearch.hxx File Reference

#include <MathUtils_Types.hxx>
#include <MathUtils_Config.hxx>
#include <math_Vector.hxx>
#include <math_Matrix.hxx>
#include <cmath>

Data Structures
struct	MathLin::EigenResult
	Result for eigenvalue decomposition of tridiagonal matrix. More...

Namespaces
namespace	MathLin
namespace	MathLin::Internal

Functions
double	MathLin::Internal::Hypot (double theX, double theY)
	Computes sqrt(x*x + y*y) avoiding overflow/underflow.
int	MathLin::Internal::FindSubmatrixEnd (const math_Vector &theDiag, const math_Vector &theSubdiag, int theStart, int theN)
	Finds the end of unreduced submatrix using deflation test.
double	MathLin::Internal::ComputeWilkinsonShift (const math_Vector &theDiag, const math_Vector &theSubdiag, int theStart, int theEnd)
	Computes Wilkinson's shift for accelerated convergence.
bool	MathLin::Internal::PerformQLStep (math_Vector &theDiag, math_Vector &theSubdiag, math_Matrix &theEigenVec, int theStart, int theEnd, double theShift, int theN)
	Performs a single QL step with implicit shift.
EigenResult	MathLin::EigenTridiagonal (const math_Vector &theDiagonal, const math_Vector &theSubdiagonal, int theMaxIterations=30)
	Eigenvalue decomposition of symmetric tridiagonal matrix using QL algorithm.
math_Vector	MathLin::GetEigenVector (const EigenResult &theResult, int theIndex)
	Get a single eigenvector from the result.