la_lapack::gebal Interface Reference

GEBAL: balances a general complex matrix A. This involves, first, permuting A by a similarity transformation 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 matrix, and improve the accuracy of the computed eigenvalues and/or eigenvectors. More...

Public Member Functions
pure subroutine	cgebal (job, n, a, lda, ilo, ihi, scale, info)
	la_cgebal
pure subroutine	dgebal (job, n, a, lda, ilo, ihi, scale, info)
	la_dgebal
	la_qgebal
pure subroutine	sgebal (job, n, a, lda, ilo, ihi, scale, info)
	la_sgebal
	la_wgebal
pure subroutine	zgebal (job, n, a, lda, ilo, ihi, scale, info)
	la_zgebal

Detailed Description

GEBAL: balances a general complex matrix A. This involves, first, permuting A by a similarity transformation 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 matrix, and improve the accuracy of the computed eigenvalues and/or eigenvectors.

Member Function/Subroutine Documentation

cgebal()

pure subroutine la_lapack::gebal::cgebal	(	character, intent(in)	job,
		integer(ilp), intent(in)	n,
		complex(sp), dimension(lda,*), intent(inout)	a,
		integer(ilp), intent(in)	lda,
		integer(ilp), intent(out)	ilo,
		integer(ilp), intent(out)	ihi,
		real(sp), dimension(*), intent(out)	scale,
		integer(ilp), intent(out)	info )

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dgebal()

pure subroutine la_lapack::gebal::dgebal	(	character, intent(in)	job,
		integer(ilp), intent(in)	n,
		real(dp), dimension(lda,*), intent(inout)	a,
		integer(ilp), intent(in)	lda,
		integer(ilp), intent(out)	ilo,
		integer(ilp), intent(out)	ihi,
		real(dp), dimension(*), intent(out)	scale,
		integer(ilp), intent(out)	info )

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la_cgebal()

la_lapack::gebal::la_cgebal

la_dgebal()

la_lapack::gebal::la_dgebal

la_qgebal()

la_lapack::gebal::la_qgebal

la_sgebal()

la_lapack::gebal::la_sgebal

la_wgebal()

la_lapack::gebal::la_wgebal

la_zgebal()

la_lapack::gebal::la_zgebal

sgebal()

pure subroutine la_lapack::gebal::sgebal	(	character, intent(in)	job,
		integer(ilp), intent(in)	n,
		real(sp), dimension(lda,*), intent(inout)	a,
		integer(ilp), intent(in)	lda,
		integer(ilp), intent(out)	ilo,
		integer(ilp), intent(out)	ihi,
		real(sp), dimension(*), intent(out)	scale,
		integer(ilp), intent(out)	info )

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zgebal()

pure subroutine la_lapack::gebal::zgebal	(	character, intent(in)	job,
		integer(ilp), intent(in)	n,
		complex(dp), dimension(lda,*), intent(inout)	a,
		integer(ilp), intent(in)	lda,
		integer(ilp), intent(out)	ilo,
		integer(ilp), intent(out)	ihi,
		real(dp), dimension(*), intent(out)	scale,
		integer(ilp), intent(out)	info )

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

• la_lapack.f90