ltl::GaussJ< T, N > Class Template Reference
[Gauss Jordan Elimination]

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

List of all members.

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
  

• 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.
  

• 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.
  

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)

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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.

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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
	)			[inline, static, protected]

References ltl::GaussJ< T, N >::eval().

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
	)			[inline, static, protected]

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
	)			[inline, static, protected]

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
	)			[inline, static, protected]

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
	)			[inline, static, protected]

References ltl::GaussJ< T, N >::eval().

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
	)			[inline, static, protected]

References ltl::GaussJ< T, N >::eval().

template<class T , int N>

static FMatrix<T, N, N> ltl::GaussJ< T, N >::invert

(

FMatrix< T, N, N >

a

)

[inline, static]

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 >::eval(), 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
	)			[inline, static]

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().

template<class T , int N>

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

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().

Referenced by ltl::GaussJ< T, N >::elimRow(), ltl::GaussJ< T, N >::getPivot(), and ltl::GaussJ< T, N >::invert().