lu_factor Interface

public interface lu_factor

Module Procedures

private pure subroutine lu_factor_dbl(a, ipvt, lu, l, u, p)

Computes the LU factorization of an M-by-N matrix.

Arguments

Type	Intent	Optional	Attributes		Name
real(kind=real64),	intent(inout),		dimension(:,:)	::	a	The N-by-N matrix to factor.
integer(kind=int32),	intent(out),	optional,	allocatable, target, dimension(:)	::	ipvt	An N-element array used to track row-pivot operations. The array stored pivot information such that row I is interchanged with row IPVT(I).
real(kind=real64),	intent(out),	optional,	allocatable, target, dimension(:,:)	::	lu	The N-by-N factored matrix in the form [ $L$ \ $U$ ] where the unit diagonal elements of $L$ are not stored.
real(kind=real64),	intent(out),	optional,	allocatable, target, dimension(:,:)	::	l	The N-by-N lower triangular matrix $L$ .
real(kind=real64),	intent(out),	optional,	allocatable, target, dimension(:,:)	::	u	The N-by-N upper triangular matrix $U$ .
real(kind=real64),	intent(out),	optional,	allocatable, target, dimension(:,:)	::	p	The N-by-N row permutation matrix.

private pure subroutine lu_factor_cmplx(a, ipvt, lu, l, u, p)

Computes the LU factorization of an M-by-N matrix.

Arguments

Type	Intent	Optional	Attributes		Name
complex(kind=real64),	intent(inout),		dimension(:,:)	::	a	The N-by-N matrix to factor.
integer(kind=int32),	intent(out),	optional,	allocatable, target, dimension(:)	::	ipvt	An N-element array used to track row-pivot operations. The array stored pivot information such that row I is interchanged with row IPVT(I).
complex(kind=real64),	intent(out),	optional,	allocatable, target, dimension(:,:)	::	lu	The N-by-N factored matrix in the form [ $L$ \ $U$ ] where the unit diagonal elements of $L$ are not stored.
complex(kind=real64),	intent(out),	optional,	allocatable, target, dimension(:,:)	::	l	The N-by-N lower triangular matrix $L$ .
complex(kind=real64),	intent(out),	optional,	allocatable, target, dimension(:,:)	::	u	The N-by-N upper triangular matrix $U$ .
real(kind=real64),	intent(out),	optional,	allocatable, target, dimension(:,:)	::	p	The N-by-N row permutation matrix.

private pure subroutine csr_lu_factor(a, lu, ju, droptol)

Factors a matrix using an LU decomposition.

Arguments

Type	Intent	Optional	Attributes		Name
class(csr_matrix),	intent(in)			::	a	The matrix to factor.
type(msr_matrix),	intent(out)			::	lu	The LU matrix.
integer(kind=int32),	intent(out),		dimension(:)	::	ju	The row tracking array.
real(kind=real64),	intent(in),	optional		::	droptol	The drop tolerance for the ILUT factorization.