MATRIX_RANK_EXCEPTION
MATRIX_RANK_EXCEPTION = 'Can only perform operation on full-rank matrix.'
For an m-by-n matrix A with m >= n, the QR decomposition is an m-by-n orthogonal matrix Q and an n-by-n upper triangular matrix R so that A = Q*R.
The QR decompostion always exists, even if the matrix does not have full rank, so the constructor will never fail. The primary use of the QR decomposition is in the least squares solution of nonsquare systems of simultaneous linear equations. This will fail if isFullRank() returns false.
$QR : array
Array for internal storage of decomposition.
$m : int
Row dimension.
$n : int
Column dimension.
$Rdiag : array
Array for internal storage of diagonal of R.
solve(\PhpOffice\PhpSpreadsheet\Shared\JAMA\Matrix $B) : \PhpOffice\PhpSpreadsheet\Shared\JAMA\Matrix
Least squares solution of A*X = B.
\PhpOffice\PhpSpreadsheet\Shared\JAMA\Matrix | $B | a Matrix with as many rows as A and any number of columns |
matrix that minimizes the two norm of QRX-B