TESTING/LIN/zpbt02.f(3)    Library Functions Manual    TESTING/LIN/zpbt02.f(3)

NAME
       TESTING/LIN/zpbt02.f

SYNOPSIS
   Functions/Subroutines
       subroutine zpbt02 (uplo, n, kd, nrhs, a, lda, x, ldx, b, ldb, rwork,
           resid)
           ZPBT02

Function/Subroutine Documentation
   subroutine zpbt02 (character uplo, integer n, integer kd, 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)
       ZPBT02

       Purpose:


           !>
           !> ZPBT02 computes the residual for a solution of a Hermitian 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
           !>          Hermitian 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 COMPLEX*16 array, dimension (LDA,N)
           !>          The original Hermitian 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 ZPBTRF for further details.
           !>

           LDA

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

           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.   LDX >= max(1,N).
           !>

           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.  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 zpbt02.f.

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

LAPACK                          Version 3.12.0         TESTING/LIN/zpbt02.f(3)