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Home MathPack Matrix Classes TIntMatrix, TMatrix and TMat3D Methods LUDecomposition
See also: Determinant, SingValDecomp, CholeskyDecomp, LUDecomposition (OpenArrays), LUPDecomposition (OpenArrays) 

LUDecomposition


Unit:SDL_matrix
Class:TMatrix
Declaration:function LUdecomposition (var MatL, MatU: TMatrix): boolean;

The method LUDecomposition decomposes the matrix into two triangular matrices MatL and MatU, with the matrix MatL being the lower triangular matrix (containing all 1s in the diagonal), and matrix MatU being the upper triangular matrix. The figure below shows the LU decomposition of a matrix of order 5.

LUDECOMP.gif

The function returns TRUE if the LU decomposition has been calculated successfully. Note that the product of the diagonal elements of matrix MatU is equal to the determinant of the matrix.


Last Update: 2023-Dec-10