la_lapack::geequb Interface Reference

GEEQUB: computes row and column scalings intended to equilibrate an M-by-N 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 an absolute value of at most the radix. R(i) and C(j) are restricted to be a power of the radix 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. This routine differs from CGEEQU by restricting the scaling factors to a power of the radix. Barring over- and underflow, scaling by these factors introduces no additional rounding errors. However, the scaled entries' magnitudes are no longer approximately 1 but lie between sqrt(radix) and 1/sqrt(radix). More...

Public Member Functions
pure subroutine	cgeequb (m, n, a, lda, r, c, rowcnd, colcnd, amax, info)
	la_cgeequb
pure subroutine	dgeequb (m, n, a, lda, r, c, rowcnd, colcnd, amax, info)
	la_dgeequb
	la_qgeequb
pure subroutine	sgeequb (m, n, a, lda, r, c, rowcnd, colcnd, amax, info)
	la_sgeequb
	la_wgeequb
pure subroutine	zgeequb (m, n, a, lda, r, c, rowcnd, colcnd, amax, info)
	la_zgeequb

Detailed Description

GEEQUB: computes row and column scalings intended to equilibrate an M-by-N 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 an absolute value of at most the radix. R(i) and C(j) are restricted to be a power of the radix 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. This routine differs from CGEEQU by restricting the scaling factors to a power of the radix. Barring over- and underflow, scaling by these factors introduces no additional rounding errors. However, the scaled entries' magnitudes are no longer approximately 1 but lie between sqrt(radix) and 1/sqrt(radix).

Member Function/Subroutine Documentation

cgeequb()

pure subroutine la_lapack::geequb::cgeequb	(	integer(ilp), intent(in)	m,
		integer(ilp), intent(in)	n,
		complex(sp), dimension(lda,*), intent(in)	a,
		integer(ilp), intent(in)	lda,
		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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dgeequb()

pure subroutine la_lapack::geequb::dgeequb	(	integer(ilp), intent(in)	m,
		integer(ilp), intent(in)	n,
		real(dp), dimension(lda,*), intent(in)	a,
		integer(ilp), intent(in)	lda,
		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_cgeequb()

la_lapack::geequb::la_cgeequb

la_dgeequb()

la_lapack::geequb::la_dgeequb

la_qgeequb()

la_lapack::geequb::la_qgeequb

la_sgeequb()

la_lapack::geequb::la_sgeequb

la_wgeequb()

la_lapack::geequb::la_wgeequb

la_zgeequb()

la_lapack::geequb::la_zgeequb

sgeequb()

pure subroutine la_lapack::geequb::sgeequb	(	integer(ilp), intent(in)	m,
		integer(ilp), intent(in)	n,
		real(sp), dimension(lda,*), intent(in)	a,
		integer(ilp), intent(in)	lda,
		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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zgeequb()

pure subroutine la_lapack::geequb::zgeequb	(	integer(ilp), intent(in)	m,
		integer(ilp), intent(in)	n,
		complex(dp), dimension(lda,*), intent(in)	a,
		integer(ilp), intent(in)	lda,
		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