zla_syrpvgrw.f(3)

NAME
zla_syrpvgrw.f -

SYNOPSIS

  Functions/Subroutines
DOUBLE PRECISION function ZLA_SYRPVGRW (UPLO, N, INFO, A, LDA, AF, LDAF, IPIV, WORK)
ZLA_SYRPVGRW

Function/Subroutine Documentation

  DOUBLE PRECISION function ZLA_SYRPVGRW (CHARACTER*1UPLO, INTEGERN, INTEGERINFO, COMPLEX*16, dimension( lda, * )A, INTEGERLDA, COMPLEX*16, dimension( ldaf, * )AF, INTEGERLDAF, INTEGER, dimension( * )IPIV, DOUBLE PRECISION, dimension( * )WORK)

ZLA_SYRPVGRW

Purpose:

     ZLA_SYRPVGRW computes the reciprocal pivot growth factor
     norm(A)/norm(U). The "max absolute element" 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.

    N

              N is INTEGER
         The number of linear equations, i.e., the order of the
         matrix A.  N >= 0.

    INFO

              INFO is INTEGER
         The value of INFO returned from ZSYTRF, .i.e., the pivot in
         column INFO is exactly 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 block diagonal matrix D and the multipliers used to
         obtain the factor U or L as computed by ZSYTRF.

    LDAF

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

    IPIV

              IPIV is INTEGER array, dimension (N)
         Details of the interchanges and the block structure of D
         as determined by ZSYTRF.

    WORK

              WORK is COMPLEX*16 array, dimension (2*N)

Author:
    Univ'. of Tennessee

    Univ'. of California Berkeley

    Univ'. of Colorado Denver

    NAG Ltd'.

Date:
    November 2011

Definition at line 123 of file zla_syrpvgrw.f'.

Author

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