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chptri (3)
  • >> chptri (3) ( Solaris man: Библиотечные вызовы )
  • 
    NAME
         chptri - compute the inverse of a complex Hermitian indefin-
         ite  matrix  A in packed storage using the factorization A =
         U*D*U**H or A = L*D*L**H computed by CHPTRF
    
    SYNOPSIS
         SUBROUTINE CHPTRI( UPLO, N, AP, IPIV, WORK, INFO )
    
         CHARACTER UPLO
    
         INTEGER INFO, N
    
         INTEGER IPIV( * )
    
         COMPLEX AP( * ), WORK( * )
    
    
    
         #include <sunperf.h>
    
         void chptri(char uplo, int n, complex *cap, int *ipivot, int
                   *info) ;
    
    PURPOSE
         CHPTRI computes the inverse of a complex Hermitian  indefin-
         ite  matrix  A in packed storage using the factorization A =
         U*D*U**H or A = L*D*L**H computed by CHPTRF.
    
    
    ARGUMENTS
         UPLO      (input) 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         (input) INTEGER
                   The order of the matrix A.  N >= 0.
    
         AP        (input/output)    COMPLEX     array,     dimension
                   (N*(N+1)/2)
                   On entry, the block diagonal matrix D and the mul-
                   tipliers  used to obtain the factor U or L as com-
                   puted by CHPTRF, 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      (input) INTEGER array, dimension (N)
                   Details of the interchanges and the  block  struc-
                   ture of D as determined by CHPTRF.
    
         WORK      (workspace) COMPLEX array, dimension (N)
    
         INFO      (output) INTEGER
                   = 0: successful exit
                   < 0: if INFO = -i, the i-th argument had an  ille-
                   gal value
                   > 0: if INFO = i, D(i,i) = 0; the matrix is singu-
                   lar and its inverse could not be computed.
    
    
    
    


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