TESTING/LIN/cqrt16.f(3)    Library Functions Manual    TESTING/LIN/cqrt16.f(3)

NAME
       TESTING/LIN/cqrt16.f

SYNOPSIS
   Functions/Subroutines
       subroutine cqrt16 (trans, m, n, nrhs, a, lda, x, ldx, b, ldb, rwork,
           resid)
           CQRT16

Function/Subroutine Documentation
   subroutine cqrt16 (character trans, integer m, integer n, integer nrhs,
       complex, dimension( lda, * ) a, integer lda, complex, dimension( ldx, *
       ) x, integer ldx, complex, dimension( ldb, * ) b, integer ldb, real,
       dimension( * ) rwork, real resid)
       CQRT16

       Purpose:


           !>
           !> CQRT16 computes the residual for a solution of a system of linear
           !> equations  A*x = b  or  A'*x = b:
           !>    RESID = norm(B - A*X) / ( max(m,n) * norm(A) * norm(X) * EPS ),
           !> where EPS is the machine epsilon.
           !>

       Parameters
           TRANS

           !>          TRANS is CHARACTER*1
           !>          Specifies the form of the system of equations:
           !>          = 'N':  A *x = b
           !>          = 'T':  A^T*x = b, where A^T is the transpose of A
           !>          = 'C':  A^H*x = b, where A^H is the conjugate transpose of A
           !>

           M

           !>          M is INTEGER
           !>          The number of rows of the matrix A.  M >= 0.
           !>

           N

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

           NRHS

           !>          NRHS is INTEGER
           !>          The number of columns of B, the matrix of right hand sides.
           !>          NRHS >= 0.
           !>

           A

           !>          A is COMPLEX array, dimension (LDA,N)
           !>          The original M x N matrix A.
           !>

           LDA

           !>          LDA is INTEGER
           !>          The leading dimension of the array A.  LDA >= max(1,M).
           !>

           X

           !>          X is COMPLEX array, dimension (LDX,NRHS)
           !>          The computed solution vectors for the system of linear
           !>          equations.
           !>

           LDX

           !>          LDX is INTEGER
           !>          The leading dimension of the array X.  If TRANS = 'N',
           !>          LDX >= max(1,N); if TRANS = 'T' or 'C', LDX >= max(1,M).
           !>

           B

           !>          B is COMPLEX array, dimension (LDB,NRHS)
           !>          On entry, the right hand side vectors for the system of
           !>          linear equations.
           !>          On exit, B is overwritten with the difference B - A*X.
           !>

           LDB

           !>          LDB is INTEGER
           !>          The leading dimension of the array B.  IF TRANS = 'N',
           !>          LDB >= max(1,M); if TRANS = 'T' or 'C', LDB >= max(1,N).
           !>

           RWORK

           !>          RWORK is REAL array, dimension (M)
           !>

           RESID

           !>          RESID is REAL
           !>          The maximum over the number of right hand sides of
           !>          norm(B - A*X) / ( max(m,n) * norm(A) * norm(X) * EPS ).
           !>

       Author
           Univ. of Tennessee


           Univ. of California Berkeley


           Univ. of Colorado Denver


           NAG Ltd.

       Definition at line 131 of file cqrt16.f.

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

LAPACK                          Version 3.12.0         TESTING/LIN/cqrt16.f(3)