TESTING/LIN/cpbt01.f(3)

NAME
TESTING/LIN/cpbt01.f

SYNOPSIS

  Functions/Subroutines
subroutine cpbt01 (uplo, n, kd, a, lda, afac, ldafac, rwork, resid)
CPBT01

Function/Subroutine Documentation

  subroutine cpbt01 (character uplo, integer n, integer kd, complex, dimension( lda, * ) a, integer lda, complex, dimension( ldafac, * ) afac, integer ldafac, real, dimension( * ) rwork, real resid)

CPBT01

Purpose:

     CPBT01 reconstructs a Hermitian positive definite band matrix A from
     its L*L' or U'*U factorization and computes the residual
        norm( L*L' - A ) / ( N * norm(A) * EPS ) or
        norm( U'*U - A ) / ( N * norm(A) * EPS ),
     where EPS is the machine epsilon, L' is the conjugate transpose of
     L, and U' is the conjugate transpose of U.

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.

    A

              A is COMPLEX 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 CPBTRF for further details.

    LDA

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

    AFAC

              AFAC is COMPLEX array, dimension (LDAFAC,N)
              The factored form of the matrix A.  AFAC contains the factor
              L or U from the L*L' or U'*U factorization in band storage
              format, as computed by CPBTRF.

    LDAFAC

              LDAFAC is INTEGER
              The leading dimension of the array AFAC.
              LDAFAC >= max(1,KD+1).

    RWORK

              RWORK is REAL array, dimension (N)

    RESID

              RESID is REAL
              If UPLO = 'L', norm(L*L' - A) / ( N * norm(A) * EPS )
              If UPLO = 'U', norm(U'*U - A) / ( N * norm(A) * EPS )

Author
    Univ. of Tennessee

    Univ. of California Berkeley

    Univ. of Colorado Denver

    NAG Ltd.

Definition at line 118 of file cpbt01.f.

Author

Generated automatically by Doxygen for LAPACK from the source code.