la_lapack::gbequ Interface Reference

GBEQU: computes row and column scalings intended to equilibrate an M-by-N band matrix A and reduce its condition number. R returns the row scale factors and C the column scale factors, chosen to try to make the largest element in each row and column of the matrix B with elements B(i,j)=R(i)*A(i,j)*C(j) have absolute value 1. R(i) and C(j) are restricted to be between SMLNUM = smallest safe number and BIGNUM = largest safe number. Use of these scaling factors is not guaranteed to reduce the condition number of A but works well in practice. More...

Public Member Functions
pure subroutine	cgbequ (m, n, kl, ku, ab, ldab, r, c, rowcnd, colcnd, amax, info)
	la_cgbequ
pure subroutine	dgbequ (m, n, kl, ku, ab, ldab, r, c, rowcnd, colcnd, amax, info)
	la_dgbequ
	la_qgbequ
pure subroutine	sgbequ (m, n, kl, ku, ab, ldab, r, c, rowcnd, colcnd, amax, info)
	la_sgbequ
	la_wgbequ
pure subroutine	zgbequ (m, n, kl, ku, ab, ldab, r, c, rowcnd, colcnd, amax, info)
	la_zgbequ

Detailed Description

GBEQU: computes row and column scalings intended to equilibrate an M-by-N band matrix A and reduce its condition number. R returns the row scale factors and C the column scale factors, chosen to try to make the largest element in each row and column of the matrix B with elements B(i,j)=R(i)*A(i,j)*C(j) have absolute value 1. R(i) and C(j) are restricted to be between SMLNUM = smallest safe number and BIGNUM = largest safe number. Use of these scaling factors is not guaranteed to reduce the condition number of A but works well in practice.

Member Function/Subroutine Documentation

cgbequ()

pure subroutine la_lapack::gbequ::cgbequ	(	integer(ilp), intent(in)	m,
		integer(ilp), intent(in)	n,
		integer(ilp), intent(in)	kl,
		integer(ilp), intent(in)	ku,
		complex(sp), dimension(ldab,*), intent(in)	ab,
		integer(ilp), intent(in)	ldab,
		real(sp), dimension(*), intent(out)	r,
		real(sp), dimension(*), intent(out)	c,
		real(sp), intent(out)	rowcnd,
		real(sp), intent(out)	colcnd,
		real(sp), intent(out)	amax,
		integer(ilp), intent(out)	info )

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dgbequ()

pure subroutine la_lapack::gbequ::dgbequ	(	integer(ilp), intent(in)	m,
		integer(ilp), intent(in)	n,
		integer(ilp), intent(in)	kl,
		integer(ilp), intent(in)	ku,
		real(dp), dimension(ldab,*), intent(in)	ab,
		integer(ilp), intent(in)	ldab,
		real(dp), dimension(*), intent(out)	r,
		real(dp), dimension(*), intent(out)	c,
		real(dp), intent(out)	rowcnd,
		real(dp), intent(out)	colcnd,
		real(dp), intent(out)	amax,
		integer(ilp), intent(out)	info )

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la_cgbequ()

la_lapack::gbequ::la_cgbequ

la_dgbequ()

la_lapack::gbequ::la_dgbequ

la_qgbequ()

la_lapack::gbequ::la_qgbequ

la_sgbequ()

la_lapack::gbequ::la_sgbequ

la_wgbequ()

la_lapack::gbequ::la_wgbequ

la_zgbequ()

la_lapack::gbequ::la_zgbequ

sgbequ()

pure subroutine la_lapack::gbequ::sgbequ	(	integer(ilp), intent(in)	m,
		integer(ilp), intent(in)	n,
		integer(ilp), intent(in)	kl,
		integer(ilp), intent(in)	ku,
		real(sp), dimension(ldab,*), intent(in)	ab,
		integer(ilp), intent(in)	ldab,
		real(sp), dimension(*), intent(out)	r,
		real(sp), dimension(*), intent(out)	c,
		real(sp), intent(out)	rowcnd,
		real(sp), intent(out)	colcnd,
		real(sp), intent(out)	amax,
		integer(ilp), intent(out)	info )

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zgbequ()

pure subroutine la_lapack::gbequ::zgbequ	(	integer(ilp), intent(in)	m,
		integer(ilp), intent(in)	n,
		integer(ilp), intent(in)	kl,
		integer(ilp), intent(in)	ku,
		complex(dp), dimension(ldab,*), intent(in)	ab,
		integer(ilp), intent(in)	ldab,
		real(dp), dimension(*), intent(out)	r,
		real(dp), dimension(*), intent(out)	c,
		real(dp), intent(out)	rowcnd,
		real(dp), intent(out)	colcnd,
		real(dp), intent(out)	amax,
		integer(ilp), intent(out)	info )

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

• la_lapack.f90