LAPACK  3.4.2
LAPACK: Linear Algebra PACKage
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zhpcon.f File Reference

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Functions/Subroutines

subroutine zhpcon (UPLO, N, AP, IPIV, ANORM, RCOND, WORK, INFO)
 ZHPCON

Function/Subroutine Documentation

subroutine zhpcon ( character  UPLO,
integer  N,
complex*16, dimension( * )  AP,
integer, dimension( * )  IPIV,
double precision  ANORM,
double precision  RCOND,
complex*16, dimension( * )  WORK,
integer  INFO 
)

ZHPCON

Download ZHPCON + dependencies [TGZ] [ZIP] [TXT]
Purpose: 
 ZHPCON estimates the reciprocal of the condition number of a complex
 Hermitian packed matrix A using the factorization A = U*D*U**H or
 A = L*D*L**H computed by ZHPTRF.

 An estimate is obtained for norm(inv(A)), and the reciprocal of the
 condition number is computed as RCOND = 1 / (ANORM * norm(inv(A))).
Parameters:
[in]UPLO
          UPLO is CHARACTER*1
          Specifies whether the details of the factorization are stored
          as an upper or lower triangular matrix.
          = 'U':  Upper triangular, form is A = U*D*U**H;
          = 'L':  Lower triangular, form is A = L*D*L**H.
[in]N
          N is INTEGER
          The order of the matrix A.  N >= 0.
[in]AP
          AP is COMPLEX*16 array, dimension (N*(N+1)/2)
          The block diagonal matrix D and the multipliers used to
          obtain the factor U or L as computed by ZHPTRF, stored as a
          packed triangular matrix.
[in]IPIV
          IPIV is INTEGER array, dimension (N)
          Details of the interchanges and the block structure of D
          as determined by ZHPTRF.
[in]ANORM
          ANORM is DOUBLE PRECISION
          The 1-norm of the original matrix A.
[out]RCOND
          RCOND is DOUBLE PRECISION
          The reciprocal of the condition number of the matrix A,
          computed as RCOND = 1/(ANORM * AINVNM), where AINVNM is an
          estimate of the 1-norm of inv(A) computed in this routine.
[out]WORK
          WORK is COMPLEX*16 array, dimension (2*N)
[out]INFO
          INFO is INTEGER
          = 0:  successful exit
          < 0:  if INFO = -i, the i-th argument had an illegal value
Author:
Univ. of Tennessee
Univ. of California Berkeley
Univ. of Colorado Denver
NAG Ltd.
Date:
November 2011

Definition at line 119 of file zhpcon.f.

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