Provided by: liblapack-doc_3.3.1-1_all bug

NAME

       LAPACK-3 - returns the value of the one norm, or the Frobenius norm, or the infinity norm,
       or the element of largest absolute value of an n by n band matrix A, with kl sub-diagonals
       and ku super-diagonals

SYNOPSIS

       DOUBLE PRECISION FUNCTION DLANGB( NORM, N, KL, KU, AB, LDAB, WORK )

           CHARACTER    NORM

           INTEGER      KL, KU, LDAB, N

           DOUBLE       PRECISION AB( LDAB, * ), WORK( * )

PURPOSE

       DLANGB   returns the value of the one norm,  or the Frobenius norm, or the  infinity norm,
       or the element of  largest absolute value  of an n by n band  matrix   A,   with  kl  sub-
       diagonals and ku super-diagonals.

DESCRIPTION

        DLANGB returns the value
           DLANGB = ( max(abs(A(i,j))), NORM = 'M' or 'm'
                    (
                    ( norm1(A),         NORM = '1', 'O' or 'o'
                    (
                    ( normI(A),         NORM = 'I' or 'i'
                    (
                    ( normF(A),         NORM = 'F', 'f', 'E' or 'e'
        where  norm1  denotes the  one norm of a matrix (maximum column sum),
        normI  denotes the  infinity norm  of a matrix  (maximum row sum) and
        normF  denotes the  Frobenius norm of a matrix (square root of sum of
        squares).  Note that  max(abs(A(i,j)))  is not a consistent matrix norm.

ARGUMENTS

        NORM    (input) CHARACTER*1
                Specifies the value to be returned in DLANGB as described
                above.

        N       (input) INTEGER
                The order of the matrix A.  N >= 0.  When N = 0, DLANGB is
                set to zero.

        KL      (input) INTEGER
                The number of sub-diagonals of the matrix A.  KL >= 0.

        KU      (input) INTEGER
                The number of super-diagonals of the matrix A.  KU >= 0.

        AB      (input) DOUBLE PRECISION array, dimension (LDAB,N)
                The band matrix A, stored in rows 1 to KL+KU+1.  The j-th
                column of A is stored in the j-th column of the array AB as
                follows:
                AB(ku+1+i-j,j) = A(i,j) for max(1,j-ku)<=i<=min(n,j+kl).

        LDAB    (input) INTEGER
                The leading dimension of the array AB.  LDAB >= KL+KU+1.

        WORK    (workspace) DOUBLE PRECISION array, dimension (MAX(1,LWORK)),
                where LWORK >= N when NORM = 'I'; otherwise, WORK is not
                referenced.

 LAPACK auxiliary routine (version 3.2)     April 2011                            DLANGB(3lapack)