la_lapack::ggqrf Interface Reference

GGQRF: computes a generalized QR factorization of an N-by-M matrix A and an N-by-P matrix B: A = Q*R, B = Q*T*Z, where Q is an N-by-N unitary matrix, Z is a P-by-P unitary matrix, and R and T assume one of the forms: if N >= M, R = ( R11 ) M , or if N < M, R = ( R11 R12 ) N, ( 0 ) N-M N M-N M where R11 is upper triangular, and if N <= P, T = ( 0 T12 ) N, or if N > P, T = ( T11 ) N-P, P-N N ( T21 ) P P where T12 or T21 is upper triangular. In particular, if B is square and nonsingular, the GQR factorization of A and B implicitly gives the QR factorization of inv(B)*A: inv(B)*A = Z**H * (inv(T)*R) where inv(B) denotes the inverse of the matrix B, and Z' denotes the conjugate transpose of matrix Z. More...

Public Member Functions
pure subroutine	cggqrf (n, m, p, a, lda, taua, b, ldb, taub, work, lwork, info)
	la_cggqrf
pure subroutine	dggqrf (n, m, p, a, lda, taua, b, ldb, taub, work, lwork, info)
	la_dggqrf
	la_qggqrf
pure subroutine	sggqrf (n, m, p, a, lda, taua, b, ldb, taub, work, lwork, info)
	la_sggqrf
	la_wggqrf
pure subroutine	zggqrf (n, m, p, a, lda, taua, b, ldb, taub, work, lwork, info)
	la_zggqrf

Detailed Description

GGQRF: computes a generalized QR factorization of an N-by-M matrix A and an N-by-P matrix B: A = Q*R, B = Q*T*Z, where Q is an N-by-N unitary matrix, Z is a P-by-P unitary matrix, and R and T assume one of the forms: if N >= M, R = ( R11 ) M , or if N < M, R = ( R11 R12 ) N, ( 0 ) N-M N M-N M where R11 is upper triangular, and if N <= P, T = ( 0 T12 ) N, or if N > P, T = ( T11 ) N-P, P-N N ( T21 ) P P where T12 or T21 is upper triangular. In particular, if B is square and nonsingular, the GQR factorization of A and B implicitly gives the QR factorization of inv(B)*A: inv(B)*A = Z**H * (inv(T)*R) where inv(B) denotes the inverse of the matrix B, and Z' denotes the conjugate transpose of matrix Z.

Member Function/Subroutine Documentation

cggqrf()

pure subroutine la_lapack::ggqrf::cggqrf	(	integer(ilp), intent(in)	n,
		integer(ilp), intent(in)	m,
		integer(ilp), intent(in)	p,
		complex(sp), dimension(lda,*), intent(inout)	a,
		integer(ilp), intent(in)	lda,
		complex(sp), dimension(*), intent(out)	taua,
		complex(sp), dimension(ldb,*), intent(inout)	b,
		integer(ilp), intent(in)	ldb,
		complex(sp), dimension(*), intent(out)	taub,
		complex(sp), dimension(*), intent(out)	work,
		integer(ilp), intent(in)	lwork,
		integer(ilp), intent(out)	info
	)

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dggqrf()

pure subroutine la_lapack::ggqrf::dggqrf	(	integer(ilp), intent(in)	n,
		integer(ilp), intent(in)	m,
		integer(ilp), intent(in)	p,
		real(dp), dimension(lda,*), intent(inout)	a,
		integer(ilp), intent(in)	lda,
		real(dp), dimension(*), intent(out)	taua,
		real(dp), dimension(ldb,*), intent(inout)	b,
		integer(ilp), intent(in)	ldb,
		real(dp), dimension(*), intent(out)	taub,
		real(dp), dimension(*), intent(out)	work,
		integer(ilp), intent(in)	lwork,
		integer(ilp), intent(out)	info
	)

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la_cggqrf()

la_lapack::ggqrf::la_cggqrf

la_dggqrf()

la_lapack::ggqrf::la_dggqrf

la_qggqrf()

la_lapack::ggqrf::la_qggqrf

la_sggqrf()

la_lapack::ggqrf::la_sggqrf

la_wggqrf()

la_lapack::ggqrf::la_wggqrf

la_zggqrf()

la_lapack::ggqrf::la_zggqrf

sggqrf()

pure subroutine la_lapack::ggqrf::sggqrf	(	integer(ilp), intent(in)	n,
		integer(ilp), intent(in)	m,
		integer(ilp), intent(in)	p,
		real(sp), dimension(lda,*), intent(inout)	a,
		integer(ilp), intent(in)	lda,
		real(sp), dimension(*), intent(out)	taua,
		real(sp), dimension(ldb,*), intent(inout)	b,
		integer(ilp), intent(in)	ldb,
		real(sp), dimension(*), intent(out)	taub,
		real(sp), dimension(*), intent(out)	work,
		integer(ilp), intent(in)	lwork,
		integer(ilp), intent(out)	info
	)

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zggqrf()

pure subroutine la_lapack::ggqrf::zggqrf	(	integer(ilp), intent(in)	n,
		integer(ilp), intent(in)	m,
		integer(ilp), intent(in)	p,
		complex(dp), dimension(lda,*), intent(inout)	a,
		integer(ilp), intent(in)	lda,
		complex(dp), dimension(*), intent(out)	taua,
		complex(dp), dimension(ldb,*), intent(inout)	b,
		integer(ilp), intent(in)	ldb,
		complex(dp), dimension(*), intent(out)	taub,
		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