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

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