HEEQUB: computes row and column scalings intended to equilibrate a Hermitian matrix A (with respect to the Euclidean norm) and reduce its condition number. The scale factors S are computed by the BIN algorithm (see references) so that the scaled matrix B with elements B(i,j) = S(i)*A(i,j)*S(j) has a condition number within a factor N of the smallest possible condition number over all possible diagonal scalings. More...

Public Member Functions
pure subroutine	cheequb (uplo, n, a, lda, s, scond, amax, work, info)

	la_cheequb

	la_wheequb

pure subroutine	zheequb (uplo, n, a, lda, s, scond, amax, work, info)

	la_zheequb

Detailed Description

HEEQUB: computes row and column scalings intended to equilibrate a Hermitian matrix A (with respect to the Euclidean norm) and reduce its condition number. The scale factors S are computed by the BIN algorithm (see references) so that the scaled matrix B with elements B(i,j) = S(i)*A(i,j)*S(j) has a condition number within a factor N of the smallest possible condition number over all possible diagonal scalings.

Member Function/Subroutine Documentation

◆ cheequb()

pure subroutine la_lapack::heequb::cheequb	(	character, intent(in)	uplo,
		integer(ilp), intent(in)	n,
		complex(sp), dimension(lda,*), intent(in)	a,
		integer(ilp), intent(in)	lda,
		real(sp), dimension(*), intent(out)	s,
		real(sp), intent(out)	scond,
		real(sp), intent(out)	amax,
		complex(sp), dimension(*), intent(out)	work,
		integer(ilp), intent(out)	info )

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◆ la_cheequb()

la_lapack::heequb::la_cheequb

◆ la_wheequb()

la_lapack::heequb::la_wheequb

◆ la_zheequb()

la_lapack::heequb::la_zheequb

◆ zheequb()

pure subroutine la_lapack::heequb::zheequb	(	character, intent(in)	uplo,
		integer(ilp), intent(in)	n,
		complex(dp), dimension(lda,*), intent(in)	a,
		integer(ilp), intent(in)	lda,
		real(dp), dimension(*), intent(out)	s,
		real(dp), intent(out)	scond,
		real(dp), intent(out)	amax,
		complex(dp), dimension(*), intent(out)	work,
		integer(ilp), intent(out)	info )