la_lapack::pbequ Interface Reference

PBEQU: computes row and column scalings intended to equilibrate a Hermitian positive definite band matrix A and reduce its condition number (with respect to the two-norm). S contains the scale factors, S(i) = 1/sqrt(A(i,i)), chosen so that the scaled matrix B with elements B(i,j) = S(i)*A(i,j)*S(j) has ones on the diagonal. This choice of S puts the condition number of B within a factor N of the smallest possible condition number over all possible diagonal scalings. More...

Public Member Functions
pure subroutine	cpbequ (uplo, n, kd, ab, ldab, s, scond, amax, info)
	la_cpbequ
pure subroutine	dpbequ (uplo, n, kd, ab, ldab, s, scond, amax, info)
	la_dpbequ
	la_qpbequ
pure subroutine	spbequ (uplo, n, kd, ab, ldab, s, scond, amax, info)
	la_spbequ
	la_wpbequ
pure subroutine	zpbequ (uplo, n, kd, ab, ldab, s, scond, amax, info)
	la_zpbequ

Detailed Description

PBEQU: computes row and column scalings intended to equilibrate a Hermitian positive definite band matrix A and reduce its condition number (with respect to the two-norm). S contains the scale factors, S(i) = 1/sqrt(A(i,i)), chosen so that the scaled matrix B with elements B(i,j) = S(i)*A(i,j)*S(j) has ones on the diagonal. This choice of S puts the condition number of B within a factor N of the smallest possible condition number over all possible diagonal scalings.

Member Function/Subroutine Documentation

cpbequ()

pure subroutine la_lapack::pbequ::cpbequ	(	character, intent(in)	uplo,
		integer(ilp), intent(in)	n,
		integer(ilp), intent(in)	kd,
		complex(sp), dimension(ldab,*), intent(in)	ab,
		integer(ilp), intent(in)	ldab,
		real(sp), dimension(*), intent(out)	s,
		real(sp), intent(out)	scond,
		real(sp), intent(out)	amax,
		integer(ilp), intent(out)	info
	)

dpbequ()

pure subroutine la_lapack::pbequ::dpbequ	(	character, intent(in)	uplo,
		integer(ilp), intent(in)	n,
		integer(ilp), intent(in)	kd,
		real(dp), dimension(ldab,*), intent(in)	ab,
		integer(ilp), intent(in)	ldab,
		real(dp), dimension(*), intent(out)	s,
		real(dp), intent(out)	scond,
		real(dp), intent(out)	amax,
		integer(ilp), intent(out)	info
	)

la_cpbequ()

la_lapack::pbequ::la_cpbequ

la_dpbequ()

la_lapack::pbequ::la_dpbequ

la_qpbequ()

la_lapack::pbequ::la_qpbequ

la_spbequ()

la_lapack::pbequ::la_spbequ

la_wpbequ()

la_lapack::pbequ::la_wpbequ

la_zpbequ()

la_lapack::pbequ::la_zpbequ

spbequ()

pure subroutine la_lapack::pbequ::spbequ	(	character, intent(in)	uplo,
		integer(ilp), intent(in)	n,
		integer(ilp), intent(in)	kd,
		real(sp), dimension(ldab,*), intent(in)	ab,
		integer(ilp), intent(in)	ldab,
		real(sp), dimension(*), intent(out)	s,
		real(sp), intent(out)	scond,
		real(sp), intent(out)	amax,
		integer(ilp), intent(out)	info
	)

zpbequ()

pure subroutine la_lapack::pbequ::zpbequ	(	character, intent(in)	uplo,
		integer(ilp), intent(in)	n,
		integer(ilp), intent(in)	kd,
		complex(dp), dimension(ldab,*), intent(in)	ab,
		integer(ilp), intent(in)	ldab,
		real(dp), dimension(*), intent(out)	s,
		real(dp), intent(out)	scond,
		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