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/home/abuild/rpmbuild/BUILD/lapack-3.12.0/SRC/zhptri.f(3) Library Functions Manual /home/abuild/rpmbuild/BUILD/lapack-3.12.0/SRC/zhptri.f(3)

NAME

/home/abuild/rpmbuild/BUILD/lapack-3.12.0/SRC/zhptri.f

SYNOPSIS

Functions/Subroutines


subroutine ZHPTRI (uplo, n, ap, ipiv, work, info)
ZHPTRI

Function/Subroutine Documentation

subroutine ZHPTRI (character uplo, integer n, complex*16, dimension( * ) ap, integer, dimension( * ) ipiv, complex*16, dimension( * ) work, integer info)

ZHPTRI

Purpose:

!>
!> ZHPTRI computes the inverse of a complex Hermitian indefinite matrix
!> A in packed storage using the factorization A = U*D*U**H or
!> A = L*D*L**H computed by ZHPTRF.
!> 

Parameters

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.
!> 

N

!>          N is INTEGER
!>          The order of the matrix A.  N >= 0.
!> 

AP

!>          AP is COMPLEX*16 array, dimension (N*(N+1)/2)
!>          On entry, 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.
!>
!>          On exit, if INFO = 0, the (Hermitian) inverse of the original
!>          matrix, stored as a packed triangular matrix. The j-th column
!>          of inv(A) is stored in the array AP as follows:
!>          if UPLO = 'U', AP(i + (j-1)*j/2) = inv(A)(i,j) for 1<=i<=j;
!>          if UPLO = 'L',
!>             AP(i + (j-1)*(2n-j)/2) = inv(A)(i,j) for j<=i<=n.
!> 

IPIV

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

WORK

!>          WORK is COMPLEX*16 array, dimension (N)
!> 

INFO

!>          INFO is INTEGER
!>          = 0: successful exit
!>          < 0: if INFO = -i, the i-th argument had an illegal value
!>          > 0: if INFO = i, D(i,i) = 0; the matrix is singular and its
!>               inverse could not be computed.
!> 

Author

Univ. of Tennessee

Univ. of California Berkeley

Univ. of Colorado Denver

NAG Ltd.

Definition at line 108 of file zhptri.f.

Author

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Version 3.12.0 LAPACK