Multiplies a matrix by the orthogonal matrix from an LQ factorization.
| Type | Intent | Optional | Attributes | Name | ||
|---|---|---|---|---|---|---|
| logical, | intent(in) | :: | lside |
Set to true to compute ; else, set to false to compute . |
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| logical, | intent(in) | :: | trans |
Set to true to compute ; else, set to false to compute . |
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| real(kind=real64), | intent(in), | dimension(:,:) | :: | a |
On input, an K-by-P matrix containing the elementary reflectors output from the LQ factorization. If lside is set to true, P = M; else, if lside is set to false, P = N. |
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| real(kind=real64), | intent(in), | dimension(:) | :: | tau |
A K-element array containing the scalar factors of each elementary reflector defined in a. |
|
| real(kind=real64), | intent(inout), | dimension(:,:) | :: | c |
On input, the M-by-N matrix C. On output, the product of the orthogonal matrix Q and the original matrix C. |
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| real(kind=real64), | intent(out), | optional, | target, dimension(:) | :: | work |
An optional input, that if provided, prevents any local memory allocation. If not provided, the memory required is allocated within. If provided, the length of the array must be at least olwork. |
| integer(kind=int32), | intent(out), | optional | :: | olwork |
An optional output used to determine workspace size. If supplied, the routine determines the optimal size for work, and returns without performing any actual calculations. |
|
| class(errors), | intent(inout), | optional, | target | :: | err |
The error object to be updated. |
Multiplies a matrix by the orthogonal matrix from an LQ factorization.
| Type | Intent | Optional | Attributes | Name | ||
|---|---|---|---|---|---|---|
| logical, | intent(in) | :: | lside |
Set to true to compute ; else, set to false to compute . |
||
| logical, | intent(in) | :: | trans |
Set to true to compute ; else, set to false to compute . |
||
| complex(kind=real64), | intent(in), | dimension(:,:) | :: | a |
On input, an K-by-P matrix containing the elementary reflectors output from the LQ factorization. If lside is set to true, P = M; else, if lside is set to false, P = N. |
|
| complex(kind=real64), | intent(in), | dimension(:) | :: | tau |
A K-element array containing the scalar factors of each elementary reflector defined in a. |
|
| complex(kind=real64), | intent(inout), | dimension(:,:) | :: | c |
On input, the M-by-N matrix C. On output, the product of the orthogonal matrix Q and the original matrix C. |
|
| complex(kind=real64), | intent(out), | optional, | target, dimension(:) | :: | work |
An optional input, that if provided, prevents any local memory allocation. If not provided, the memory required is allocated within. If provided, the length of the array must be at least olwork. |
| integer(kind=int32), | intent(out), | optional | :: | olwork |
An optional output used to determine workspace size. If supplied, the routine determines the optimal size for work, and returns without performing any actual calculations. |
|
| class(errors), | intent(inout), | optional, | target | :: | err |
The error object to be updated. |
Multiplies a vector with the orthogonal matrix from an LQ factorization such that .
| Type | Intent | Optional | Attributes | Name | ||
|---|---|---|---|---|---|---|
| logical, | intent(in) | :: | trans |
Set to true to compute ; else, set to false to compute . |
||
| real(kind=real64), | intent(in), | dimension(:,:) | :: | a |
On input, an K-by-M matrix containing the elementary reflectors output from the LQ factorization. Notice, the contents of this matrix are restored on exit. |
|
| real(kind=real64), | intent(in), | dimension(:) | :: | tau |
A K-element array containing the scalar factors of each elementary reflector defined in a. |
|
| real(kind=real64), | intent(inout), | dimension(:) | :: | c |
On input, the M-element vector . On output, the product of the orthogonal matrix and the original vector . |
|
| real(kind=real64), | intent(out), | optional, | target, dimension(:) | :: | work |
An optional input, that if provided, prevents any local memory allocation. If not provided, the memory required is allocated within. If provided, the length of the array must be at least olwork. |
| integer(kind=int32), | intent(out), | optional | :: | olwork |
An optional output used to determine workspace size. If supplied, the routine determines the optimal size for work, and returns without performing any actual calculations. |
|
| class(errors), | intent(inout), | optional, | target | :: | err |
The error object to be updated. |
Multiplies a vector with the orthogonal matrix from an LQ factorization such that .
| Type | Intent | Optional | Attributes | Name | ||
|---|---|---|---|---|---|---|
| logical, | intent(in) | :: | trans |
Set to true to compute ; else, set to false to compute . |
||
| complex(kind=real64), | intent(in), | dimension(:,:) | :: | a |
On input, an K-by-M matrix containing the elementary reflectors output from the LQ factorization. Notice, the contents of this matrix are restored on exit. |
|
| complex(kind=real64), | intent(in), | dimension(:) | :: | tau |
A K-element array containing the scalar factors of each elementary reflector defined in a. |
|
| complex(kind=real64), | intent(inout), | dimension(:) | :: | c |
On input, the M-element vector . On output, the product of the orthogonal matrix and the original vector . |
|
| complex(kind=real64), | intent(out), | optional, | target, dimension(:) | :: | work |
An optional input, that if provided, prevents any local memory allocation. If not provided, the memory required is allocated within. If provided, the length of the array must be at least olwork. |
| integer(kind=int32), | intent(out), | optional | :: | olwork |
An optional output used to determine workspace size. If supplied, the routine determines the optimal size for work, and returns without performing any actual calculations. |
|
| class(errors), | intent(inout), | optional, | target | :: | err |
The error object to be updated. |