la_lapack::sysv_rk Interface Reference

SYSV_RK: computes the solution to a complex system of linear equations A * X = B, where A is an N-by-N symmetric matrix and X and B are N-by-NRHS matrices. The bounded Bunch-Kaufman (rook) diagonal pivoting method is used to factor A as A = P*U*D*(U**T)*(P**T), if UPLO = 'U', or A = P*L*D*(L**T)*(P**T), if UPLO = 'L', where U (or L) is unit upper (or lower) triangular matrix, U**T (or L**T) is the transpose of U (or L), P is a permutation matrix, P**T is the transpose of P, and D is symmetric and block diagonal with 1-by-1 and 2-by-2 diagonal blocks. CSYTRF_RK is called to compute the factorization of a complex symmetric matrix. The factored form of A is then used to solve the system of equations A * X = B by calling BLAS3 routine CSYTRS_3. More...

Public Member Functions
pure subroutine	csysv_rk (uplo, n, nrhs, a, lda, e, ipiv, b, ldb, work, lwork, info)
	la_csysv_rk
pure subroutine	dsysv_rk (uplo, n, nrhs, a, lda, e, ipiv, b, ldb, work, lwork, info)
	la_dsysv_rk
	la_qsysv_rk
pure subroutine	ssysv_rk (uplo, n, nrhs, a, lda, e, ipiv, b, ldb, work, lwork, info)
	la_ssysv_rk
	la_wsysv_rk
pure subroutine	zsysv_rk (uplo, n, nrhs, a, lda, e, ipiv, b, ldb, work, lwork, info)
	la_zsysv_rk

Detailed Description

SYSV_RK: computes the solution to a complex system of linear equations A * X = B, where A is an N-by-N symmetric matrix and X and B are N-by-NRHS matrices. The bounded Bunch-Kaufman (rook) diagonal pivoting method is used to factor A as A = P*U*D*(U**T)*(P**T), if UPLO = 'U', or A = P*L*D*(L**T)*(P**T), if UPLO = 'L', where U (or L) is unit upper (or lower) triangular matrix, U**T (or L**T) is the transpose of U (or L), P is a permutation matrix, P**T is the transpose of P, and D is symmetric and block diagonal with 1-by-1 and 2-by-2 diagonal blocks. CSYTRF_RK is called to compute the factorization of a complex symmetric matrix. The factored form of A is then used to solve the system of equations A * X = B by calling BLAS3 routine CSYTRS_3.

Member Function/Subroutine Documentation

csysv_rk()

pure subroutine la_lapack::sysv_rk::csysv_rk	(	character, intent(in)	uplo,
		integer(ilp), intent(in)	n,
		integer(ilp), intent(in)	nrhs,
		complex(sp), dimension(lda,*), intent(inout)	a,
		integer(ilp), intent(in)	lda,
		complex(sp), dimension(*), intent(out)	e,
		integer(ilp), dimension(*), intent(out)	ipiv,
		complex(sp), dimension(ldb,*), intent(inout)	b,
		integer(ilp), intent(in)	ldb,
		complex(sp), dimension(*), intent(out)	work,
		integer(ilp), intent(in)	lwork,
		integer(ilp), intent(out)	info
	)

dsysv_rk()

pure subroutine la_lapack::sysv_rk::dsysv_rk	(	character, intent(in)	uplo,
		integer(ilp), intent(in)	n,
		integer(ilp), intent(in)	nrhs,
		real(dp), dimension(lda,*), intent(inout)	a,
		integer(ilp), intent(in)	lda,
		real(dp), dimension(*), intent(out)	e,
		integer(ilp), dimension(*), intent(out)	ipiv,
		real(dp), dimension(ldb,*), intent(inout)	b,
		integer(ilp), intent(in)	ldb,
		real(dp), dimension(*), intent(out)	work,
		integer(ilp), intent(in)	lwork,
		integer(ilp), intent(out)	info
	)

la_csysv_rk()

la_lapack::sysv_rk::la_csysv_rk

la_dsysv_rk()

la_lapack::sysv_rk::la_dsysv_rk

la_qsysv_rk()

la_lapack::sysv_rk::la_qsysv_rk

la_ssysv_rk()

la_lapack::sysv_rk::la_ssysv_rk

la_wsysv_rk()

la_lapack::sysv_rk::la_wsysv_rk

la_zsysv_rk()

la_lapack::sysv_rk::la_zsysv_rk

ssysv_rk()

pure subroutine la_lapack::sysv_rk::ssysv_rk	(	character, intent(in)	uplo,
		integer(ilp), intent(in)	n,
		integer(ilp), intent(in)	nrhs,
		real(sp), dimension(lda,*), intent(inout)	a,
		integer(ilp), intent(in)	lda,
		real(sp), dimension(*), intent(out)	e,
		integer(ilp), dimension(*), intent(out)	ipiv,
		real(sp), dimension(ldb,*), intent(inout)	b,
		integer(ilp), intent(in)	ldb,
		real(sp), dimension(*), intent(out)	work,
		integer(ilp), intent(in)	lwork,
		integer(ilp), intent(out)	info
	)

zsysv_rk()

pure subroutine la_lapack::sysv_rk::zsysv_rk	(	character, intent(in)	uplo,
		integer(ilp), intent(in)	n,
		integer(ilp), intent(in)	nrhs,
		complex(dp), dimension(lda,*), intent(inout)	a,
		integer(ilp), intent(in)	lda,
		complex(dp), dimension(*), intent(out)	e,
		integer(ilp), dimension(*), intent(out)	ipiv,
		complex(dp), dimension(ldb,*), intent(inout)	b,
		integer(ilp), intent(in)	ldb,
		complex(dp), dimension(*), intent(out)	work,
		integer(ilp), intent(in)	lwork,
		integer(ilp), intent(out)	info
	)

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The documentation for this interface was generated from the following file:

• la_lapack.f90