solve_lq – LINALG

Solves a system of LQ factored equations of the form $A X = L Q X = B$ .

Type	Intent	Optional	Attributes		Name
real(kind=real64),	intent(in),		dimension(:,:)	::	a	On input, the M-by-N LQ factored matrix as returned by lq_factor. On output, the contents of this matrix are restored. Notice, N must be greater than or equal to M.
real(kind=real64),	intent(in),		dimension(:)	::	tau	A MIN(M, N)-element array containing the scalar factors of the elementary reflectors as returned by lq_factor.
real(kind=real64),	intent(inout),		dimension(:,:)	::	b	On input, an N-by-NRHS matrix where the first M rows contain the right-hand-side matrix $B$ . On output, the N-by-NRHS solution matrix $X$ .
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.

Solves a system of LQ factored equations of the form $A X = L Q X = B$ .

Type	Intent	Optional	Attributes		Name
complex(kind=real64),	intent(in),		dimension(:,:)	::	a	On input, the M-by-N LQ factored matrix as returned by lq_factor. On output, the contents of this matrix are restored. Notice, N must be greater than or equal to M.
complex(kind=real64),	intent(in),		dimension(:)	::	tau	A MIN(M, N)-element array containing the scalar factors of the elementary reflectors as returned by lq_factor.
complex(kind=real64),	intent(inout),		dimension(:,:)	::	b	On input, an N-by-NRHS matrix where the first M rows contain the right-hand-side matrix $B$ . On output, the N-by-NRHS solution matrix $X$ .
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.

Solves a system of LQ factored equations of the form $A \vec{x} = L Q \vec{x} = \vec{b}$ .

Type	Intent	Optional	Attributes		Name
real(kind=real64),	intent(in),		dimension(:,:)	::	a	!! On input, the M-by-N LQ factored matrix as returned by lq_factor. On output, the contents of this matrix are restored. Notice, N must be greater than or equal to M.
real(kind=real64),	intent(in),		dimension(:)	::	tau	A MIN(M, N)-element array containing the scalar factors of the elementary reflectors as returned by lq_factor.
real(kind=real64),	intent(inout),		dimension(:)	::	b	On input, an N-element vector where the first M rows contain the right-hand-side vector $\vec{b}$ . On output, the N-element vector $\vec{x}$ .
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.

Solves a system of LQ factored equations of the form $A \vec{x} = L Q \vec{x} = \vec{b}$ .

Type	Intent	Optional	Attributes		Name
complex(kind=real64),	intent(in),		dimension(:,:)	::	a	!! On input, the M-by-N LQ factored matrix as returned by lq_factor. On output, the contents of this matrix are restored. Notice, N must be greater than or equal to M.
complex(kind=real64),	intent(in),		dimension(:)	::	tau	A MIN(M, N)-element array containing the scalar factors of the elementary reflectors as returned by lq_factor.
complex(kind=real64),	intent(inout),		dimension(:)	::	b	On input, an N-element vector where the first M rows contain the right-hand-side vector $\vec{b}$ . On output, the N-element vector $\vec{x}$ .
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.

solve_lq Interface