Computes the inverse of a square matrix.
| Type | Intent | Optional | Attributes | Name | ||
|---|---|---|---|---|---|---|
| real(kind=real64), | intent(in), | dimension(:,:) | :: | a |
The N-by-N matrix to invert. |
The N-by-N inverted matrix.
Computes the inverse of a square matrix.
| Type | Intent | Optional | Attributes | Name | ||
|---|---|---|---|---|---|---|
| complex(kind=real64), | intent(in), | dimension(:,:) | :: | a |
The N-by-N matrix to invert. |
Computes the Moore-Penrose pseudo-inverse of a M-by-N matrix using the singular value decomposition of the matrix.
| Type | Intent | Optional | Attributes | Name | ||
|---|---|---|---|---|---|---|
| real(kind=real64), | intent(in), | dimension(:,:) | :: | a |
The M-by-N matrix to invert. |
|
| real(kind=real64), | intent(in), | optional | :: | tol |
An optional input, that if supplied, overrides the default tolerance on singular values such that singular values less than this tolerance are forced to have a reciprocal of zero, as opposed to 1/S(I). The default tolerance is: MAX(M, N) * EPS * MAX(S). |
The N-by-M inverted matrix.
Computes the Moore-Penrose pseudo-inverse of a M-by-N matrix using the singular value decomposition of the matrix.
| Type | Intent | Optional | Attributes | Name | ||
|---|---|---|---|---|---|---|
| complex(kind=real64), | intent(in), | dimension(:,:) | :: | a |
The M-by-N matrix to invert. |
|
| real(kind=real64), | intent(in), | optional | :: | tol |
An optional input, that if supplied, overrides the default tolerance on singular values such that singular values less than this tolerance are forced to have a reciprocal of zero, as opposed to 1/S(I). The default tolerance is: MAX(M, N) * EPS * MAX(S). |
The N-by-M inverted matrix.