SRC/zla_porpvgrw.f(3)

NAME
SRC/zla_porpvgrw.f

SYNOPSIS

  Functions/Subroutines
double precision function zla_porpvgrw (uplo, ncols, a, lda, af, ldaf, work)
ZLA_PORPVGRW computes the reciprocal pivot growth factor norm(A)/norm(U) for a symmetric or Hermitian positive-definite matrix.

Function/Subroutine Documentation

  double precision function zla_porpvgrw (character*1 uplo, integer ncols, complex*16, dimension( lda, * ) a, integer lda, complex*16, dimension( ldaf, * ) af, integer ldaf, double precision, dimension( * ) work)

ZLA_PORPVGRW computes the reciprocal pivot growth factor norm(A)/norm(U) for a symmetric or Hermitian positive-definite matrix.

Purpose:

    !>
    !>
    !> ZLA_PORPVGRW computes the reciprocal pivot growth factor
    !> norm(A)/norm(U). The  norm is used. If this is
    !> much less than 1, the stability of the LU factorization of the
    !> (equilibrated) matrix A could be poor. This also means that the
    !> solution X, estimated condition numbers, and error bounds could be
    !> unreliable.
    !>

Parameters
    UPLO

    !>          UPLO is CHARACTER*1
    !>       = 'U':  Upper triangle of A is stored;
    !>       = 'L':  Lower triangle of A is stored.
    !>

    NCOLS

    !>          NCOLS is INTEGER
    !>     The number of columns of the matrix A. NCOLS >= 0.
    !>

    A

    !>          A is COMPLEX*16 array, dimension (LDA,N)
    !>     On entry, the N-by-N matrix A.
    !>

    LDA

    !>          LDA is INTEGER
    !>     The leading dimension of the array A.  LDA >= max(1,N).
    !>

    AF

    !>          AF is COMPLEX*16 array, dimension (LDAF,N)
    !>     The triangular factor U or L from the Cholesky factorization
    !>     A = U**T*U or A = L*L**T, as computed by ZPOTRF.
    !>

    LDAF

    !>          LDAF is INTEGER
    !>     The leading dimension of the array AF.  LDAF >= max(1,N).
    !>

    WORK

    !>          WORK is DOUBLE PRECISION array, dimension (2*N)
    !>

Author
    Univ. of Tennessee

    Univ. of California Berkeley

    Univ. of Colorado Denver

    NAG Ltd.

Definition at line 105 of file zla_porpvgrw.f.

Author

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