la_lapack::ggbal Interface Reference

GGBAL: balances a pair of general complex matrices (A,B). This involves, first, permuting A and B by similarity transformations to isolate eigenvalues in the first 1 to ILO$-$1 and last IHI+1 to N elements on the diagonal; and second, applying a diagonal similarity transformation to rows and columns ILO to IHI to make the rows and columns as close in norm as possible. Both steps are optional. Balancing may reduce the 1-norm of the matrices, and improve the accuracy of the computed eigenvalues and/or eigenvectors in the generalized eigenvalue problem A*x = lambda*B*x. More...

Public Member Functions
pure subroutine	cggbal (job, n, a, lda, b, ldb, ilo, ihi, lscale, rscale, work, info)
	la_cggbal
pure subroutine	dggbal (job, n, a, lda, b, ldb, ilo, ihi, lscale, rscale, work, info)
	la_dggbal
	la_qggbal
pure subroutine	sggbal (job, n, a, lda, b, ldb, ilo, ihi, lscale, rscale, work, info)
	la_sggbal
	la_wggbal
pure subroutine	zggbal (job, n, a, lda, b, ldb, ilo, ihi, lscale, rscale, work, info)
	la_zggbal

Detailed Description

GGBAL: balances a pair of general complex matrices (A,B). This involves, first, permuting A and B by similarity transformations to isolate eigenvalues in the first 1 to ILO$-$1 and last IHI+1 to N elements on the diagonal; and second, applying a diagonal similarity transformation to rows and columns ILO to IHI to make the rows and columns as close in norm as possible. Both steps are optional. Balancing may reduce the 1-norm of the matrices, and improve the accuracy of the computed eigenvalues and/or eigenvectors in the generalized eigenvalue problem A*x = lambda*B*x.

Member Function/Subroutine Documentation

cggbal()

pure subroutine la_lapack::ggbal::cggbal	(	character, intent(in)	job,
		integer(ilp), intent(in)	n,
		complex(sp), dimension(lda,*), intent(inout)	a,
		integer(ilp), intent(in)	lda,
		complex(sp), dimension(ldb,*), intent(inout)	b,
		integer(ilp), intent(in)	ldb,
		integer(ilp), intent(out)	ilo,
		integer(ilp), intent(out)	ihi,
		real(sp), dimension(*), intent(out)	lscale,
		real(sp), dimension(*), intent(out)	rscale,
		real(sp), dimension(*), intent(out)	work,
		integer(ilp), intent(out)	info )

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dggbal()

pure subroutine la_lapack::ggbal::dggbal	(	character, intent(in)	job,
		integer(ilp), intent(in)	n,
		real(dp), dimension(lda,*), intent(inout)	a,
		integer(ilp), intent(in)	lda,
		real(dp), dimension(ldb,*), intent(inout)	b,
		integer(ilp), intent(in)	ldb,
		integer(ilp), intent(out)	ilo,
		integer(ilp), intent(out)	ihi,
		real(dp), dimension(*), intent(out)	lscale,
		real(dp), dimension(*), intent(out)	rscale,
		real(dp), dimension(*), intent(out)	work,
		integer(ilp), intent(out)	info )

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la_cggbal()

la_lapack::ggbal::la_cggbal

la_dggbal()

la_lapack::ggbal::la_dggbal

la_qggbal()

la_lapack::ggbal::la_qggbal

la_sggbal()

la_lapack::ggbal::la_sggbal

la_wggbal()

la_lapack::ggbal::la_wggbal

la_zggbal()

la_lapack::ggbal::la_zggbal

sggbal()

pure subroutine la_lapack::ggbal::sggbal	(	character, intent(in)	job,
		integer(ilp), intent(in)	n,
		real(sp), dimension(lda,*), intent(inout)	a,
		integer(ilp), intent(in)	lda,
		real(sp), dimension(ldb,*), intent(inout)	b,
		integer(ilp), intent(in)	ldb,
		integer(ilp), intent(out)	ilo,
		integer(ilp), intent(out)	ihi,
		real(sp), dimension(*), intent(out)	lscale,
		real(sp), dimension(*), intent(out)	rscale,
		real(sp), dimension(*), intent(out)	work,
		integer(ilp), intent(out)	info )

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zggbal()

pure subroutine la_lapack::ggbal::zggbal	(	character, intent(in)	job,
		integer(ilp), intent(in)	n,
		complex(dp), dimension(lda,*), intent(inout)	a,
		integer(ilp), intent(in)	lda,
		complex(dp), dimension(ldb,*), intent(inout)	b,
		integer(ilp), intent(in)	ldb,
		integer(ilp), intent(out)	ilo,
		integer(ilp), intent(out)	ihi,
		real(dp), dimension(*), intent(out)	lscale,
		real(dp), dimension(*), intent(out)	rscale,
		real(dp), dimension(*), intent(out)	work,
		integer(ilp), intent(out)	info )

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

• la_lapack.f90