TESTING/LIN/zpbt01.f(3)

NAME
TESTING/LIN/zpbt01.f

SYNOPSIS

  Functions/Subroutines
subroutine zpbt01 (uplo, n, kd, a, lda, afac, ldafac, rwork, resid)
ZPBT01

Function/Subroutine Documentation

  subroutine zpbt01 (character uplo, integer n, integer kd, complex*16, dimension( lda, * ) a, integer lda, complex*16, dimension( ldafac, * ) afac, integer ldafac, double precision, dimension( * ) rwork, double precision resid)

ZPBT01

Purpose:

    !>
    !> ZPBT01 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*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).
    !>

    AFAC

    !>          AFAC is COMPLEX*16 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 ZPBTRF.
    !>

    LDAFAC

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

    RWORK

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

    RESID

    !>          RESID is DOUBLE PRECISION
    !>          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 zpbt01.f.

Author

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