Computes the LQ factorization of an M-by-N matrix where is a lower triangular (or lower trapezoidal) matrix and is a orthogonal matrix.
| Type | Intent | Optional | Attributes | Name | ||
|---|---|---|---|---|---|---|
| real(kind=real64), | intent(in), | dimension(:,:) | :: | a |
The M-by-N matrix to factor. |
|
| real(kind=real64), | intent(out), | optional, | allocatable, target, dimension(:) | :: | tau |
A MIN(M, N)-element array used to store the scalar factors of the elementary reflectors. |
| real(kind=real64), | intent(out), | optional, | allocatable, target, dimension(:,:) | :: | lq |
An M-by-N matrix with the elements below the diagonal containing the MIN(M,N)-by-N lower trapezoidal matrix ( is lower triangluar if M >= N). The elements above the diagonal, along with the array tau, represent the orthogonal matrix as a product of elementary reflectors. |
| real(kind=real64), | intent(out), | optional, | allocatable, target, dimension(:,:) | :: | l |
The M-by-N lower trapezoidal matrix . |
| real(kind=real64), | intent(out), | optional, | allocatable, target, dimension(:,:) | :: | q |
The N-by-N orthogonal matrix . |
Computes the LQ factorization of an M-by-N matrix where is a lower triangular (or lower trapezoidal) matrix and is a orthogonal matrix.
| Type | Intent | Optional | Attributes | Name | ||
|---|---|---|---|---|---|---|
| complex(kind=real64), | intent(in), | dimension(:,:) | :: | a |
The M-by-N matrix to factor. |
|
| complex(kind=real64), | intent(out), | optional, | allocatable, target, dimension(:) | :: | tau |
A MIN(M, N)-element array used to store the scalar factors of the elementary reflectors. |
| complex(kind=real64), | intent(out), | optional, | allocatable, target, dimension(:,:) | :: | lq |
An M-by-N matrix with the elements below the diagonal containing the MIN(M,N)-by-N lower trapezoidal matrix ( is lower triangluar if M >= N). The elements above the diagonal, along with the array tau, represent the orthogonal matrix as a product of elementary reflectors. |
| complex(kind=real64), | intent(out), | optional, | allocatable, target, dimension(:,:) | :: | l |
The M-by-N lower trapezoidal matrix . |
| complex(kind=real64), | intent(out), | optional, | allocatable, target, dimension(:,:) | :: | q |
The N-by-N orthogonal matrix . |