TESTING/LIN/dpbt02.f(3)    Library Functions Manual    TESTING/LIN/dpbt02.f(3)

NAME
       TESTING/LIN/dpbt02.f

SYNOPSIS
   Functions/Subroutines
       subroutine dpbt02 (uplo, n, kd, nrhs, a, lda, x, ldx, b, ldb, rwork,
           resid)
           DPBT02

Function/Subroutine Documentation
   subroutine dpbt02 (character uplo, integer n, integer kd, integer nrhs,
       double precision, dimension( lda, * ) a, integer lda, double precision,
       dimension( ldx, * ) x, integer ldx, double precision, dimension( ldb, *
       ) b, integer ldb, double precision, dimension( * ) rwork, double
       precision resid)
       DPBT02

       Purpose:


           !>
           !> DPBT02 computes the residual for a solution of a symmetric banded
           !> system of equations  A*x = b:
           !>    RESID = norm( B - A*X ) / ( norm(A) * norm(X) * EPS)
           !> where EPS is the machine precision.
           !>

       Parameters
           UPLO

           !>          UPLO is CHARACTER*1
           !>          Specifies whether the upper or lower triangular part of the
           !>          symmetric matrix A is stored:
           !>          = 'U':  Upper triangular
           !>          = 'L':  Lower triangular
           !>

           N

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

           KD

           !>          KD is INTEGER
           !>          The number of super-diagonals of the matrix A if UPLO = 'U',
           !>          or the number of sub-diagonals if UPLO = 'L'.  KD >= 0.
           !>

           NRHS

           !>          NRHS is INTEGER
           !>          The number of right hand sides. NRHS >= 0.
           !>

           A

           !>          A is DOUBLE PRECISION array, dimension (LDA,N)
           !>          The original symmetric band matrix A.  If UPLO = 'U', the
           !>          upper triangular part of A is stored as a band matrix; if
           !>          UPLO = 'L', the lower triangular part of A is stored.  The
           !>          columns of the appropriate triangle are stored in the columns
           !>          of A and the diagonals of the triangle are stored in the rows
           !>          of A.  See DPBTRF for further details.
           !>

           LDA

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

           X

           !>          X is DOUBLE PRECISION 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.   LDX >= max(1,N).
           !>

           B

           !>          B is DOUBLE PRECISION 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.  LDB >= max(1,N).
           !>

           RWORK

           !>          RWORK is DOUBLE PRECISION array, dimension (N)
           !>

           RESID

           !>          RESID is DOUBLE PRECISION
           !>          The maximum over the number of right hand sides of
           !>          norm(B - A*X) / ( norm(A) * norm(X) * EPS ).
           !>

       Author
           Univ. of Tennessee


           Univ. of California Berkeley


           Univ. of Colorado Denver


           NAG Ltd.

       Definition at line 134 of file dpbt02.f.

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

LAPACK                          Version 3.12.0         TESTING/LIN/dpbt02.f(3)