sgbcon.f(3)

NAME
sgbcon.f -

SYNOPSIS

  Functions/Subroutines
subroutine sgbcon (NORM, N, KL, KU, AB, LDAB, IPIV, ANORM, RCOND, WORK, IWORK, INFO)
SGBCON

Function/Subroutine Documentation

  subroutine sgbcon (characterNORM, integerN, integerKL, integerKU, real, dimension( ldab, * )AB, integerLDAB, integer, dimension( * )IPIV, realANORM, realRCOND, real, dimension( * )WORK, integer, dimension( * )IWORK, integerINFO)

SGBCON

Purpose:

     SGBCON estimates the reciprocal of the condition number of a real
     general band matrix A, in either the 1-norm or the infinity-norm,
     using the LU factorization computed by SGBTRF.
     An estimate is obtained for norm(inv(A)), and the reciprocal of the
     condition number is computed as
        RCOND = 1 / ( norm(A) * norm(inv(A)) ).

Parameters:
    NORM

              NORM is CHARACTER*1
              Specifies whether the 1-norm condition number or the
              infinity-norm condition number is required:
              = '1' or 'O':  1-norm;
              = 'I':         Infinity-norm.

    N

              N is INTEGER
              The order 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.

    AB

              AB is REAL array, dimension (LDAB,N)
              Details of the LU factorization of the band matrix A, as
              computed by SGBTRF.  U is stored as an upper triangular band
              matrix with KL+KU superdiagonals in rows 1 to KL+KU+1, and
              the multipliers used during the factorization are stored in
              rows KL+KU+2 to 2*KL+KU+1.

    LDAB

              LDAB is INTEGER
              The leading dimension of the array AB.  LDAB >= 2*KL+KU+1.

    IPIV

              IPIV is INTEGER array, dimension (N)
              The pivot indices; for 1 <= i <= N, row i of the matrix was
              interchanged with row IPIV(i).

    ANORM

              ANORM is REAL
              If NORM = '1' or 'O', the 1-norm of the original matrix A.
              If NORM = 'I', the infinity-norm of the original matrix A.

    RCOND

              RCOND is REAL
              The reciprocal of the condition number of the matrix A,
              computed as RCOND = 1/(norm(A) * norm(inv(A))).

    WORK

              WORK is REAL array, dimension (3*N)

    IWORK

              IWORK is INTEGER array, dimension (N)

    INFO

              INFO is INTEGER
              = 0:  successful exit
              < 0: if INFO = -i, the i-th argument had an illegal value

Author:
    Univ. of Tennessee

    Univ. of California Berkeley

    Univ. of Colorado Denver

    NAG Ltd.

Date:
    November 2011

Definition at line 146 of file sgbcon.f.

Author

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