File: vendor/Execl/PHPExcel/Shared/JAMA/LUDecomposition.php
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
Class hierarchy: \PHPExcel_Shared_JAMA_LUDecomposition

Constants

MATRIX_SINGULAR_EXCEPTION

MATRIX_SINGULAR_EXCEPTION = "Can only perform operation on singular matrix."

MATRIX_SQUARE_EXCEPTION

MATRIX_SQUARE_EXCEPTION = "Mismatched Row dimension"

Properties

$LU

$LU :

Decomposition storage

@var array

Type

$m

$m :

Row dimension.

@var int

Type

$n

$n :

Column dimension.

@var int

Type

$pivsign

$pivsign :

Pivot sign.

@var int

Type

$piv

$piv :

Internal storage of pivot vector.

@var array

Type

Methods

__construct()

__construct(  $A) : \Structure

LU Decomposition constructor.

@param $A Rectangular matrix

Parameters

Returns

\Structure —

to access L, U and piv.

getL()

getL()

Get lower triangular factor.

@return array Lower triangular factor

getU()

getU()

Get upper triangular factor.

@return array Upper triangular factor

getPivot()

getPivot()

Return pivot permutation vector.

@return array Pivot vector

getDoublePivot()

getDoublePivot()

Alias for getPivot

@see getPivot

isNonsingular()

isNonsingular()

Is the matrix nonsingular?

@return true if U, and hence A, is nonsingular.

det()

det()

Count determinants

@return array d matrix deterninat

solve()

solve(  $B) : \X

Solve A*X = B

@param $B A Matrix with as many rows as A and any number of columns.

Parameters

Returns

\X —

so that LUX = B(piv,:) @PHPExcel_Calculation_Exception IllegalArgumentException Matrix row dimensions must agree. @PHPExcel_Calculation_Exception RuntimeException Matrix is singular.