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CLANTB(l)			       )			     CLANTB(l)

NAME
       CLANTB  -  return  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 triangular band matrix A, with ( k + 1 ) diagonals

SYNOPSIS
       REAL FUNCTION CLANTB( NORM, UPLO, DIAG, N, K, AB, LDAB, WORK )

	   CHARACTER DIAG, NORM, UPLO

	   INTEGER   K, LDAB, N

	   REAL	     WORK( * )

	   COMPLEX   AB( LDAB, * )

PURPOSE
       CLANTB 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
       triangular band matrix A, with ( k + 1 ) diagonals.

DESCRIPTION
       CLANTB returns the value

	  CLANTB = ( 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	 matrix norm.

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

       UPLO    (input) CHARACTER*1
	       Specifies whether the matrix A is upper or lower triangular.  =
	       'U':  Upper triangular
	       = 'L':  Lower triangular

       DIAG    (input) CHARACTER*1
	       Specifies whether or not the matrix A is	 unit  triangular.   =
	       'N':  Non-unit triangular
	       = 'U':  Unit triangular

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

       K       (input) INTEGER
	       The number of super-diagonals of the matrix A if UPLO = 'U', or
	       the  number  of sub-diagonals of the matrix A if UPLO = 'L'.  K
	       >= 0.

       AB      (input) COMPLEX array, dimension (LDAB,N)
	       The upper or lower triangular band  matrix  A,  stored  in  the
	       first k+1 rows of AB.  The j-th column of A is stored in the j-
	       th column of the array AB as follows: if UPLO = 'U',  AB(k+1+i-
	       j,j)  = A(i,j) for max(1,j-k)<=i<=j; if UPLO = 'L', AB(1+i-j,j)
	       = A(i,j) for j<=i<=min(n,j+k).  Note that when DIAG = 'U',  the
	       elements of the array AB corresponding to the diagonal elements
	       of the matrix A are not referenced, but are assumed to be one.

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

       WORK    (workspace) REAL array, dimension (LWORK),
	       where LWORK >= N when NORM = 'I'; otherwise, WORK is not refer‐
	       enced.

LAPACK version 3.0		 15 June 2000			     CLANTB(l)
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