PHPExcel classes » \PHPExcel_Shared_JAMA

package	JAMA For an m-by-n matrix A with m >= n, the LU decomposition is an m-by-n unit lower triangular matrix L, an n-by-n upper triangular matrix U, and a permutation vector piv of length m so that A(piv,:) = L*U. If m < n, then L is m-by-m and U is m-by-n. The LU decompostion with pivoting always exists, even if the matrix is singular, so the constructor will never fail. The primary use of the LU decomposition is in the solution of square systems of simultaneous linear equations. This will fail if isNonsingular() returns false.
author	Paul Meagher
author	Bartosz Matosiuk
author	Michael Bommarito
version	1.1
license	PHP v3.0

LU Decomposition constructor.

__construct($A) : \Structure

Rectangular matrix

\Structureto access L, U and piv.

det() : array

arrayd matrix deterninat

getDoublePivot()

see	\getPivot

getL() : array

arrayLower triangular factor

getPivot() : array

arrayPivot vector

getU() : array

arrayUpper triangular factor

isNonsingular() : true

trueif U, and hence A, is nonsingular.

solve($B) : \X

PHPExcel_Calculation_Exception	IllegalArgumentException Matrix row dimensions must agree.
PHPExcel_Calculation_Exception	RuntimeException Matrix is singular.

A Matrix with as many rows as A and any number of columns.

\Xso that L*U*X = B(piv,:)

$LU : array

$m : int

$n : int

$piv : array

$pivsign : int

MatrixSingularException

MatrixSquareException