TESTING/LIN/ctpt01.f(3)    Library Functions Manual    TESTING/LIN/ctpt01.f(3)

NAME
       TESTING/LIN/ctpt01.f

SYNOPSIS
   Functions/Subroutines
       subroutine ctpt01 (uplo, diag, n, ap, ainvp, rcond, rwork, resid)
           CTPT01

Function/Subroutine Documentation
   subroutine ctpt01 (character uplo, character diag, integer n, complex,
       dimension( * ) ap, complex, dimension( * ) ainvp, real rcond, real,
       dimension( * ) rwork, real resid)
       CTPT01

       Purpose:


            CTPT01 computes the residual for a triangular matrix A times its
            inverse when A is stored in packed format:
               RESID = norm(A*AINV - I) / ( N * norm(A) * norm(AINV) * EPS ),
            where EPS is the machine epsilon.

       Parameters
           UPLO

                     UPLO is CHARACTER*1
                     Specifies whether the matrix A is upper or lower triangular.
                     = 'U':  Upper triangular
                     = 'L':  Lower triangular

           DIAG

                     DIAG is CHARACTER*1
                     Specifies whether or not the matrix A is unit triangular.
                     = 'N':  Non-unit triangular
                     = 'U':  Unit triangular

           N

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

           AP

                     AP is COMPLEX array, dimension (N*(N+1)/2)
                     The original upper or lower triangular matrix A, packed
                     columnwise in a linear array.  The j-th column of A is stored
                     in the array AP as follows:
                     if UPLO = 'U', AP((j-1)*j/2 + i) = A(i,j) for 1<=i<=j;
                     if UPLO = 'L',
                        AP((j-1)*(n-j) + j*(j+1)/2 + i-j) = A(i,j) for j<=i<=n.

           AINVP

                     AINVP is COMPLEX array, dimension (N*(N+1)/2)
                     On entry, the (triangular) inverse of the matrix A, packed
                     columnwise in a linear array as in AP.
                     On exit, the contents of AINVP are destroyed.

           RCOND

                     RCOND is REAL
                     The reciprocal condition number of A, computed as
                     1/(norm(A) * norm(AINV)).

           RWORK

                     RWORK is REAL array, dimension (N)

           RESID

                     RESID is REAL
                     norm(A*AINV - I) / ( N * norm(A) * norm(AINV) * EPS )

       Author
           Univ. of Tennessee

           Univ. of California Berkeley

           Univ. of Colorado Denver

           NAG Ltd.

       Definition at line 108 of file ctpt01.f.

Author
       Generated automatically by Doxygen for LAPACK from the source code.

LAPACK                          Version 3.12.0         TESTING/LIN/ctpt01.f(3)