ltl::GaussJ< T, N > Class Template Reference

Solve equation via Gauss-Jordan inversion or just do a Gauss-Jordan inversion. More...

Static Public Member Functions
static FMatrix< T, N, N >	invert (FMatrix< T, N, N > a)
	invert Matrix, similar to eval() but without solving a linear equation More...
static FVector< T, N >	solve (FMatrix< T, N, N > a, FVector< T, N > b)
	Return the solution vector x for the equation A x = b More...
static void	eval (FMatrix< T, N, N > &a, FVector< T, N > &b)
	Solve A x = B by Gauss-Jordan elimination. b is replaced by the solution x, A is replaced by its inverse. More...

Static Protected Member Functions
static void	getPivot (const FMatrix< T, N, N > &a, FVector< int, N > &ipiv, tNMatPivot< T > &p)
static void	swapRows (FMatrix< T, N, N > &a, FVector< T, N > &b, tNMatPivot< T > &p)
static void	divByPiv (FMatrix< T, N, N > &a, const tNMatPivot< T > &p)
static void	divByPiv (FMatrix< T, N, N > &a, FVector< T, N > &b, const tNMatPivot< T > &p)
static void	elimRow (FMatrix< T, N, N > &a, const tNMatPivot< T > &p)
static void	elimRow (FMatrix< T, N, N > &a, FVector< T, N > &b, const tNMatPivot< T > &p)

Detailed Description

template<class T, int N>
class ltl::GaussJ< T, N >

Solve equation via Gauss-Jordan inversion or just do a Gauss-Jordan inversion.

Member Function Documentation

template<class T , int N>

static void ltl::GaussJ< T, N >::getPivot ( const FMatrix< T, N, N > &  a, FVector< int, N > &  ipiv, tNMatPivot< T > &  p  )

inlinestaticprotected

Referenced by ltl::GaussJ< T, N >::eval(), ltl::GaussJ< T, N >::invert(), and ltl::GaussJ< T, N >::solve().

template<class T , int N>

static void ltl::GaussJ< T, N >::swapRows ( FMatrix< T, N, N > &  a, FVector< T, N > &  b, tNMatPivot< T > &  p  )

inlinestaticprotected

References ltl::FMatrix< T, M, N >::swapRows().

Referenced by ltl::GaussJ< T, N >::eval(), and ltl::GaussJ< T, N >::solve().

template<class T , int N>

static void ltl::GaussJ< T, N >::divByPiv ( FMatrix< T, N, N > &  a, const tNMatPivot< T > &  p  )

inlinestaticprotected

References ltl::FMatrix< T, M, N >::row().

Referenced by ltl::GaussJ< T, N >::eval(), ltl::GaussJ< T, N >::invert(), and ltl::GaussJ< T, N >::solve().

template<class T , int N>

static void ltl::GaussJ< T, N >::divByPiv ( FMatrix< T, N, N > &  a, FVector< T, N > &  b, const tNMatPivot< T > &  p  )

inlinestaticprotected

References ltl::FMatrix< T, M, N >::row().

template<class T , int N>

static void ltl::GaussJ< T, N >::elimRow ( FMatrix< T, N, N > &  a, const tNMatPivot< T > &  p  )

inlinestaticprotected

Referenced by ltl::GaussJ< T, N >::eval(), ltl::GaussJ< T, N >::invert(), and ltl::GaussJ< T, N >::solve().

template<class T , int N>

static void ltl::GaussJ< T, N >::elimRow ( FMatrix< T, N, N > &  a, FVector< T, N > &  b, const tNMatPivot< T > &  p  )

inlinestaticprotected

template<class T , int N>

static FMatrix<T, N, N> ltl::GaussJ< T, N >::invert ( FMatrix< T, N, N >  a )

inlinestatic

invert Matrix, similar to eval() but without solving a linear equation

References ltl::GaussJ< T, N >::divByPiv(), ltl::GaussJ< T, N >::elimRow(), ltl::GaussJ< T, N >::getPivot(), and ltl::FMatrix< T, M, N >::swapRows().

template<class T , int N>

static FVector<T, N> ltl::GaussJ< T, N >::solve ( FMatrix< T, N, N >  a, FVector< T, N >  b  )

inlinestatic

Return the solution vector x for the equation A x = b

References ltl::GaussJ< T, N >::divByPiv(), ltl::GaussJ< T, N >::elimRow(), ltl::GaussJ< T, N >::getPivot(), and ltl::GaussJ< T, N >::swapRows().

Referenced by ltl::PolynomFit< TPAR, TDAT, ORDER, EXT, 1 >::eval(), ltl::PolynomFit< TPAR, TDAT, ORDER, false, 2 >::eval(), ltl::PolynomFit< TPAR, TDAT, ORDER, true, 2 >::eval(), and ltl::WCS< 2 >::p_().

template<class T , int N>

static void ltl::GaussJ< T, N >::eval ( FMatrix< T, N, N > &  a, FVector< T, N > &  b  )

inlinestatic

Solve A x = B by Gauss-Jordan elimination. b is replaced by the solution x, A is replaced by its inverse.

References ltl::GaussJ< T, N >::divByPiv(), ltl::GaussJ< T, N >::elimRow(), ltl::GaussJ< T, N >::getPivot(), and ltl::GaussJ< T, N >::swapRows().