la_lapack::ppequ Interface Reference

PPEQU: computes row and column scalings intended to equilibrate a Hermitian positive definite matrix A in packed storage 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	cppequ (uplo, n, ap, s, scond, amax, info)
	la_cppequ
pure subroutine	dppequ (uplo, n, ap, s, scond, amax, info)
	la_dppequ
	la_qppequ
pure subroutine	sppequ (uplo, n, ap, s, scond, amax, info)
	la_sppequ
	la_wppequ
pure subroutine	zppequ (uplo, n, ap, s, scond, amax, info)
	la_zppequ

Detailed Description

PPEQU: computes row and column scalings intended to equilibrate a Hermitian positive definite matrix A in packed storage 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

cppequ()

pure subroutine la_lapack::ppequ::cppequ	(	character, intent(in)	uplo,
		integer(ilp), intent(in)	n,
		complex(sp), dimension(*), intent(in)	ap,
		real(sp), dimension(*), intent(out)	s,
		real(sp), intent(out)	scond,
		real(sp), intent(out)	amax,
		integer(ilp), intent(out)	info
	)

dppequ()

pure subroutine la_lapack::ppequ::dppequ	(	character, intent(in)	uplo,
		integer(ilp), intent(in)	n,
		real(dp), dimension(*), intent(in)	ap,
		real(dp), dimension(*), intent(out)	s,
		real(dp), intent(out)	scond,
		real(dp), intent(out)	amax,
		integer(ilp), intent(out)	info
	)

la_cppequ()

la_lapack::ppequ::la_cppequ

la_dppequ()

la_lapack::ppequ::la_dppequ

la_qppequ()

la_lapack::ppequ::la_qppequ

la_sppequ()

la_lapack::ppequ::la_sppequ

la_wppequ()

la_lapack::ppequ::la_wppequ

la_zppequ()

la_lapack::ppequ::la_zppequ

sppequ()

pure subroutine la_lapack::ppequ::sppequ	(	character, intent(in)	uplo,
		integer(ilp), intent(in)	n,
		real(sp), dimension(*), intent(in)	ap,
		real(sp), dimension(*), intent(out)	s,
		real(sp), intent(out)	scond,
		real(sp), intent(out)	amax,
		integer(ilp), intent(out)	info
	)

zppequ()

pure subroutine la_lapack::ppequ::zppequ	(	character, intent(in)	uplo,
		integer(ilp), intent(in)	n,
		complex(dp), dimension(*), intent(in)	ap,
		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