la_lapack::lalsa Interface Reference

LALSA: is an itermediate step in solving the least squares problem by computing the SVD of the coefficient matrix in compact form (The singular vectors are computed as products of simple orthorgonal matrices.). If ICOMPQ = 0, LALSA applies the inverse of the left singular vector matrix of an upper bidiagonal matrix to the right hand side; and if ICOMPQ = 1, LALSA applies the right singular vector matrix to the right hand side. The singular vector matrices were generated in compact form by LALSA. More...

Public Member Functions
pure subroutine	clalsa (icompq, smlsiz, n, nrhs, b, ldb, bx, ldbx, u, ldu, vt, k, difl, difr, z, poles, givptr, givcol, ldgcol, perm, givnum, c, s, rwork, iwork, info)
	la_clalsa
pure subroutine	dlalsa (icompq, smlsiz, n, nrhs, b, ldb, bx, ldbx, u, ldu, vt, k, difl, difr, z, poles, givptr, givcol, ldgcol, perm, givnum, c, s, work, iwork, info)
	la_dlalsa
	la_qlalsa
pure subroutine	slalsa (icompq, smlsiz, n, nrhs, b, ldb, bx, ldbx, u, ldu, vt, k, difl, difr, z, poles, givptr, givcol, ldgcol, perm, givnum, c, s, work, iwork, info)
	la_slalsa
	la_wlalsa
pure subroutine	zlalsa (icompq, smlsiz, n, nrhs, b, ldb, bx, ldbx, u, ldu, vt, k, difl, difr, z, poles, givptr, givcol, ldgcol, perm, givnum, c, s, rwork, iwork, info)
	la_zlalsa

Detailed Description

LALSA: is an itermediate step in solving the least squares problem by computing the SVD of the coefficient matrix in compact form (The singular vectors are computed as products of simple orthorgonal matrices.). If ICOMPQ = 0, LALSA applies the inverse of the left singular vector matrix of an upper bidiagonal matrix to the right hand side; and if ICOMPQ = 1, LALSA applies the right singular vector matrix to the right hand side. The singular vector matrices were generated in compact form by LALSA.

Member Function/Subroutine Documentation

clalsa()

pure subroutine la_lapack::lalsa::clalsa	(	integer(ilp), intent(in)	icompq,
		integer(ilp), intent(in)	smlsiz,
		integer(ilp), intent(in)	n,
		integer(ilp), intent(in)	nrhs,
		complex(sp), dimension(ldb,*), intent(inout)	b,
		integer(ilp), intent(in)	ldb,
		complex(sp), dimension(ldbx,*), intent(out)	bx,
		integer(ilp), intent(in)	ldbx,
		real(sp), dimension(ldu,*), intent(in)	u,
		integer(ilp), intent(in)	ldu,
		real(sp), dimension(ldu,*), intent(in)	vt,
		integer(ilp), dimension(*), intent(in)	k,
		real(sp), dimension(ldu,*), intent(in)	difl,
		real(sp), dimension(ldu,*), intent(in)	difr,
		real(sp), dimension(ldu,*), intent(in)	z,
		real(sp), dimension(ldu, *), intent(in)	poles,
		integer(ilp), dimension(*), intent(in)	givptr,
		integer(ilp), dimension( ldgcol,*), intent(in)	givcol,
		integer(ilp), intent(in)	ldgcol,
		integer(ilp), dimension(ldgcol,*), intent(in)	perm,
		real(sp), dimension(ldu,*), intent(in)	givnum,
		real(sp), dimension(*), intent(in)	c,
		real(sp), dimension(*), intent(in)	s,
		real(sp), dimension(*), intent(out)	rwork,
		integer(ilp), dimension(*), intent(out)	iwork,
		integer(ilp), intent(out)	info
	)

dlalsa()

pure subroutine la_lapack::lalsa::dlalsa	(	integer(ilp), intent(in)	icompq,
		integer(ilp), intent(in)	smlsiz,
		integer(ilp), intent(in)	n,
		integer(ilp), intent(in)	nrhs,
		real(dp), dimension(ldb,*), intent(inout)	b,
		integer(ilp), intent(in)	ldb,
		real(dp), dimension(ldbx,*), intent(out)	bx,
		integer(ilp), intent(in)	ldbx,
		real(dp), dimension(ldu,*), intent(in)	u,
		integer(ilp), intent(in)	ldu,
		real(dp), dimension(ldu,*), intent(in)	vt,
		integer(ilp), dimension(*), intent(in)	k,
		real(dp), dimension(ldu,*), intent(in)	difl,
		real(dp), dimension(ldu,*), intent(in)	difr,
		real(dp), dimension(ldu,*), intent(in)	z,
		real(dp), dimension(ldu, *), intent(in)	poles,
		integer(ilp), dimension(*), intent(in)	givptr,
		integer(ilp), dimension( ldgcol,*), intent(in)	givcol,
		integer(ilp), intent(in)	ldgcol,
		integer(ilp), dimension(ldgcol,*), intent(in)	perm,
		real(dp), dimension(ldu,*), intent(in)	givnum,
		real(dp), dimension(*), intent(in)	c,
		real(dp), dimension(*), intent(in)	s,
		real(dp), dimension(*), intent(out)	work,
		integer(ilp), dimension(*), intent(out)	iwork,
		integer(ilp), intent(out)	info
	)

la_clalsa()

la_lapack::lalsa::la_clalsa

la_dlalsa()

la_lapack::lalsa::la_dlalsa

la_qlalsa()

la_lapack::lalsa::la_qlalsa

la_slalsa()

la_lapack::lalsa::la_slalsa

la_wlalsa()

la_lapack::lalsa::la_wlalsa

la_zlalsa()

la_lapack::lalsa::la_zlalsa

slalsa()

pure subroutine la_lapack::lalsa::slalsa	(	integer(ilp), intent(in)	icompq,
		integer(ilp), intent(in)	smlsiz,
		integer(ilp), intent(in)	n,
		integer(ilp), intent(in)	nrhs,
		real(sp), dimension(ldb,*), intent(inout)	b,
		integer(ilp), intent(in)	ldb,
		real(sp), dimension(ldbx,*), intent(out)	bx,
		integer(ilp), intent(in)	ldbx,
		real(sp), dimension(ldu,*), intent(in)	u,
		integer(ilp), intent(in)	ldu,
		real(sp), dimension(ldu,*), intent(in)	vt,
		integer(ilp), dimension(*), intent(in)	k,
		real(sp), dimension(ldu,*), intent(in)	difl,
		real(sp), dimension(ldu,*), intent(in)	difr,
		real(sp), dimension(ldu,*), intent(in)	z,
		real(sp), dimension(ldu, *), intent(in)	poles,
		integer(ilp), dimension(*), intent(in)	givptr,
		integer(ilp), dimension( ldgcol,*), intent(in)	givcol,
		integer(ilp), intent(in)	ldgcol,
		integer(ilp), dimension(ldgcol,*), intent(in)	perm,
		real(sp), dimension(ldu,*), intent(in)	givnum,
		real(sp), dimension(*), intent(in)	c,
		real(sp), dimension(*), intent(in)	s,
		real(sp), dimension(*), intent(out)	work,
		integer(ilp), dimension(*), intent(out)	iwork,
		integer(ilp), intent(out)	info
	)

zlalsa()

pure subroutine la_lapack::lalsa::zlalsa	(	integer(ilp), intent(in)	icompq,
		integer(ilp), intent(in)	smlsiz,
		integer(ilp), intent(in)	n,
		integer(ilp), intent(in)	nrhs,
		complex(dp), dimension(ldb,*), intent(inout)	b,
		integer(ilp), intent(in)	ldb,
		complex(dp), dimension(ldbx,*), intent(out)	bx,
		integer(ilp), intent(in)	ldbx,
		real(dp), dimension(ldu,*), intent(in)	u,
		integer(ilp), intent(in)	ldu,
		real(dp), dimension(ldu,*), intent(in)	vt,
		integer(ilp), dimension(*), intent(in)	k,
		real(dp), dimension(ldu,*), intent(in)	difl,
		real(dp), dimension(ldu,*), intent(in)	difr,
		real(dp), dimension(ldu,*), intent(in)	z,
		real(dp), dimension(ldu, *), intent(in)	poles,
		integer(ilp), dimension(*), intent(in)	givptr,
		integer(ilp), dimension( ldgcol,*), intent(in)	givcol,
		integer(ilp), intent(in)	ldgcol,
		integer(ilp), dimension(ldgcol,*), intent(in)	perm,
		real(dp), dimension(ldu,*), intent(in)	givnum,
		real(dp), dimension(*), intent(in)	c,
		real(dp), dimension(*), intent(in)	s,
		real(dp), dimension(*), intent(out)	rwork,
		integer(ilp), dimension(*), intent(out)	iwork,
		integer(ilp), intent(out)	info
	)

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

• la_lapack.f90