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)

Detailed Description

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

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

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
	)

inlinestatic

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
	)

inlinestatic

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 )