TESTING/LIN/zqrt16.f(3)    Library Functions Manual    TESTING/LIN/zqrt16.f(3)

NAME
       TESTING/LIN/zqrt16.f

SYNOPSIS
   Functions/Subroutines
       subroutine zqrt16 (trans, m, n, nrhs, a, lda, x, ldx, b, ldb, rwork,
           resid)
           ZQRT16

Function/Subroutine Documentation
   subroutine zqrt16 (character trans, integer m, integer n, integer nrhs,
       complex*16, dimension( lda, * ) a, integer lda, complex*16, dimension(
       ldx, * ) x, integer ldx, complex*16, dimension( ldb, * ) b, integer
       ldb, double precision, dimension( * ) rwork, double precision resid)
       ZQRT16

       Purpose:


           !>
           !> ZQRT16 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*16 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*16 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*16 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 DOUBLE PRECISION array, dimension (M)
           !>

           RESID

           !>          RESID is DOUBLE PRECISION
           !>          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 zqrt16.f.

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

LAPACK                          Version 3.12.0         TESTING/LIN/zqrt16.f(3)