TESTING/LIN/spbt01.f(3)    Library Functions Manual    TESTING/LIN/spbt01.f(3)

NAME
       TESTING/LIN/spbt01.f

SYNOPSIS
   Functions/Subroutines
       subroutine spbt01 (uplo, n, kd, a, lda, afac, ldafac, rwork, resid)
           SPBT01

Function/Subroutine Documentation
   subroutine spbt01 (character uplo, integer n, integer kd, real, dimension(
       lda, * ) a, integer lda, real, dimension( ldafac, * ) afac, integer
       ldafac, real, dimension( * ) rwork, real resid)
       SPBT01

       Purpose:


           !>
           !> SPBT01 reconstructs a symmetric 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
           !>          symmetric 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 REAL array, dimension (LDA,N)
           !>          The original symmetric 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 SPBTRF for further details.
           !>

           LDA

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

           AFAC

           !>          AFAC is REAL 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 SPBTRF.
           !>

           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 117 of file spbt01.f.

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

LAPACK                          Version 3.12.0         TESTING/LIN/spbt01.f(3)