dlangb.f man page on Oracle

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dlangb.f(3)			    LAPACK			   dlangb.f(3)

NAME
       dlangb.f -

SYNOPSIS
   Functions/Subroutines
       DOUBLE PRECISION function dlangb (NORM, N, KL, KU, AB, LDAB, WORK)
	   DLANGB returns the value of the 1-norm, Frobenius norm, infinity-
	   norm, or the largest absolute value of any element of general band
	   matrix.

Function/Subroutine Documentation
   DOUBLE PRECISION function dlangb (characterNORM, integerN, integerKL,
       integerKU, double precision, dimension( ldab, * )AB, integerLDAB,
       double precision, dimension( * )WORK)
       DLANGB returns the value of the 1-norm, Frobenius norm, infinity-norm,
       or the largest absolute value of any element of general band matrix.

       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.

       Returns:
	   DLANGB

	       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.

       Parameters:
	   NORM

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

	   N

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

	   KL

		     KL is INTEGER
		     The number of sub-diagonals of the matrix A.  KL >= 0.

	   KU

		     KU is INTEGER
		     The number of super-diagonals of the matrix A.  KU >= 0.

	   AB

		     AB is 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

		     LDAB is INTEGER
		     The leading dimension of the array AB.  LDAB >= KL+KU+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 124 of file dlangb.f.

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

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