TESTING/LIN/zgbt02.f(3) Library Functions Manual TESTING/LIN/zgbt02.f(3)

TESTING/LIN/zgbt02.f


subroutine zgbt02 (trans, m, n, kl, ku, nrhs, a, lda, x, ldx, b, ldb, rwork, resid)
ZGBT02

ZGBT02

Purpose:

 ZGBT02 computes the residual for a solution of a banded system of
 equations op(A)*X = B:
    RESID = norm(B - op(A)*X) / ( norm(op(A)) * norm(X) * EPS ),
 where op(A) = A, A**T, or A**H, depending on TRANS, and EPS is the
 machine epsilon.

Parameters

TRANS
          TRANS is CHARACTER*1
          Specifies the form of the system of equations:
          = 'N':  A    * X = B  (No transpose)
          = 'T':  A**T * X = B  (Transpose)
          = 'C':  A**H * X = B  (Conjugate transpose)

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.

KL

          KL is INTEGER
          The number of subdiagonals within the band of A.  KL >= 0.

KU

          KU is INTEGER
          The number of superdiagonals within the band of A.  KU >= 0.

NRHS

          NRHS is INTEGER
          The number of columns of B.  NRHS >= 0.

A

          A is COMPLEX*16 array, dimension (LDA,N)
          The original matrix A in band storage, stored in rows 1 to
          KL+KU+1.

LDA

          LDA is INTEGER
          The leading dimension of the array A.  LDA >= max(1,KL+KU+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.  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 (MAX(1,LRWORK)),
          where LRWORK >= M when TRANS = 'T' or 'C'; otherwise, RWORK
          is not referenced.

RESID

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

Author

Univ. of Tennessee

Univ. of California Berkeley

Univ. of Colorado Denver

NAG Ltd.

Definition at line 146 of file zgbt02.f.

Generated automatically by Doxygen for LAPACK from the source code.

Version 3.12.0 LAPACK