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dlantb.f(3)				      LAPACK				      dlantb.f(3)

NAME
       dlantb.f -

SYNOPSIS
   Functions/Subroutines
       DOUBLE PRECISION function dlantb (NORM, UPLO, DIAG, N, K, AB, LDAB, WORK)
	   DLANTB returns the value of the 1-norm, or the Frobenius norm, or the infinity norm,
	   or the element of largest absolute value of a triangular band matrix.

Function/Subroutine Documentation
   DOUBLE PRECISION function dlantb (characterNORM, characterUPLO, characterDIAG, integerN,
       integerK, double precision, dimension( ldab, * )AB, integerLDAB, double precision,
       dimension( * )WORK)
       DLANTB returns the value of the 1-norm, or the Frobenius norm, or the infinity norm, or
       the element of largest absolute value of a triangular band matrix.

       Purpose:

	    DLANTB  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.

       Returns:
	   DLANTB

	       DLANTB = ( 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.

       Parameters:
	   NORM

		     NORM is CHARACTER*1
		     Specifies the value to be returned in DLANTB as described
		     above.

	   UPLO

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

	   DIAG

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

	   N

		     N is INTEGER
		     The order of the matrix A.  N >= 0.  When N = 0, DLANTB is
		     set to zero.

	   K

		     K is 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

		     AB is DOUBLE PRECISION 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

		     LDAB is INTEGER
		     The leading dimension of the array AB.  LDAB >= K+1.

	   WORK

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

       Author:
	   Univ. of Tennessee

	   Univ. of California Berkeley

	   Univ. of Colorado Denver

	   NAG Ltd.

       Date:
	   September 2012

       Definition at line 140 of file dlantb.f.

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

Version 3.4.2				 Tue Sep 25 2012			      dlantb.f(3)
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