la_lapack::poequ Interface Reference

POEQU: computes row and column scalings intended to equilibrate a Hermitian positive definite 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	cpoequ (n, a, lda, s, scond, amax, info)
	la_cpoequ
pure subroutine	dpoequ (n, a, lda, s, scond, amax, info)
	la_dpoequ
	la_qpoequ
pure subroutine	spoequ (n, a, lda, s, scond, amax, info)
	la_spoequ
	la_wpoequ
pure subroutine	zpoequ (n, a, lda, s, scond, amax, info)
	la_zpoequ

Detailed Description

POEQU: computes row and column scalings intended to equilibrate a Hermitian positive definite 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

cpoequ()

pure subroutine la_lapack::poequ::cpoequ	(	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,
		integer(ilp), intent(out)	info
	)

dpoequ()

pure subroutine la_lapack::poequ::dpoequ	(	integer(ilp), intent(in)	n,
		real(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,
		integer(ilp), intent(out)	info
	)

la_cpoequ()

la_lapack::poequ::la_cpoequ

la_dpoequ()

la_lapack::poequ::la_dpoequ

la_qpoequ()

la_lapack::poequ::la_qpoequ

la_spoequ()

la_lapack::poequ::la_spoequ

la_wpoequ()

la_lapack::poequ::la_wpoequ

la_zpoequ()

la_lapack::poequ::la_zpoequ

spoequ()

pure subroutine la_lapack::poequ::spoequ	(	integer(ilp), intent(in)	n,
		real(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,
		integer(ilp), intent(out)	info
	)

zpoequ()

pure subroutine la_lapack::poequ::zpoequ	(	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,
		integer(ilp), intent(out)	info
	)

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

• la_lapack.f90