ltl::LUDecomposition< T, N > Class Template Reference
[LU Decomposition]

List of all members.

Static Public Member Functions

• static FVector< T, N > solve (FMatrix< T, N, N > A, FVector< T, N > b)
• static FMatrix< T, N, N > solve (FMatrix< T, N, N > A, FMatrix< T, N, N > &B)
• static FMatrix< T, N, N > invert (FMatrix< T, N, N > A)

Static Protected Member Functions

• static void ludcmp (FMatrix< T, N, N > &A, FVector< int, N > &Index)
• static void lubksb (const FMatrix< T, N, N > &A, const FVector< int, N > &Index, FVector< T, N > &B)

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Detailed Description

template<typename T, int N>
class ltl::LUDecomposition< T, N >

Solve the linear system of equations A x = b using LU decomposition.

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Member Function Documentation

template<typename T , int N>

static FVector<T,N> ltl::LUDecomposition< T, N >::solve	(	FMatrix< T, N, N >	A,
		FVector< T, N >	b
	)			[inline, static]

Solve the linear system of equations A x = b using LU decomposition. The solution vector x is returned.

References ltl::LUDecomposition< T, N >::lubksb(), and ltl::LUDecomposition< T, N >::ludcmp().

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

template<typename T , int N>

static FMatrix<T,N,N> ltl::LUDecomposition< T, N >::solve	(	FMatrix< T, N, N >	A,
		FMatrix< T, N, N > &	B
	)			[inline, static]

Solve the linear system of equations A x = b using LU decomposition for each column of the matrix b. The result vectors x are returned as columns of a matrix X.

References ltl::FMatrix< T, M, N >::col(), and ltl::LUDecomposition< T, N >::solve().

template<typename T , int N>

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

(

FMatrix< T, N, N >

A

)

[inline, static]

Invert the matrix A using LU decomposition.

References ltl::LUDecomposition< T, N >::solve(), and ltl::FMatrix< T, M, N >::traceVector().

template<typename T , int N>

void ltl::LUDecomposition< T, N >::ludcmp	(	FMatrix< T, N, N > &	A,
		FVector< int, N > &	Index
	)			[inline, static, protected]

References ltl::sum(), and ZERO.

Referenced by ltl::LUDecomposition< T, N >::solve().

template<typename T , int N>

void ltl::LUDecomposition< T, N >::lubksb	(	const FMatrix< T, N, N > &	A,
		const FVector< int, N > &	Index,
		FVector< T, N > &	B
	)			[inline, static, protected]

References ltl::sum().

Referenced by ltl::LUDecomposition< T, N >::solve().