MATRIX_SINGULAR_EXCEPTION
MATRIX_SINGULAR_EXCEPTION = 'Can only perform operation on singular matrix.'
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.
$LU : array
Decomposition storage.
$m : int
Row dimension.
$n : int
Column dimension.
$pivsign : int
Pivot sign.
$piv : array
Internal storage of pivot vector.
solve(\PhpOffice\PhpSpreadsheet\Shared\JAMA\Matrix $B) : \PhpOffice\PhpSpreadsheet\Shared\JAMA\Matrix
Solve A*X = B.
| \PhpOffice\PhpSpreadsheet\Shared\JAMA\Matrix | $B | a Matrix with as many rows as A and any number of columns |
X so that LUX = B(piv,:)