LAPACK  3.4.0
LAPACK: Linear Algebra PACKage
Functions/Subroutines
zla_herpvgrw.f File Reference

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Functions/Subroutines

DOUBLE PRECISION function ZLA_HERPVGRW (UPLO, N, INFO, A, LDA, AF, LDAF, IPIV, WORK)
 ZLA_HERPVGRW

Function/Subroutine Documentation

DOUBLE PRECISION function ZLA_HERPVGRW ( CHARACTER*1  UPLO,
INTEGER  N,
INTEGER  INFO,
COMPLEX*16, dimension( lda, * )  A,
INTEGER  LDA,
COMPLEX*16, dimension( ldaf, * )  AF,
INTEGER  LDAF,
INTEGER, dimension( * )  IPIV,
DOUBLE PRECISION, dimension( * )  WORK 
)

ZLA_HERPVGRW

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Purpose: 

 
 ZLA_HERPVGRW 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:
[in]UPLO
          UPLO is CHARACTER*1
       = 'U':  Upper triangle of A is stored;
       = 'L':  Lower triangle of A is stored.
[in]N
          N is INTEGER
     The number of linear equations, i.e., the order of the
     matrix A.  N >= 0.
[in]INFO
          INFO is INTEGER
     The value of INFO returned from ZHETRF, .i.e., the pivot in
     column INFO is exactly 0.
[in]A
          A is COMPLEX*16 array, dimension (LDA,N)
     On entry, the N-by-N matrix A.
[in]LDA
          LDA is INTEGER
     The leading dimension of the array A.  LDA >= max(1,N).
[in]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 ZHETRF.
[in]LDAF
          LDAF is INTEGER
     The leading dimension of the array AF.  LDAF >= max(1,N).
[in]IPIV
          IPIV is INTEGER array, dimension (N)
     Details of the interchanges and the block structure of D
     as determined by ZHETRF.
[in]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_herpvgrw.f.

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