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zlangb(3) [debian man page]

zlangb.f(3)							      LAPACK							       zlangb.f(3)

NAME

       zlangb.f -

SYNOPSIS

   Functions/Subroutines
       DOUBLE PRECISION function zlangb (NORM, N, KL, KU, AB, LDAB, WORK)
	   ZLANGB

Function/Subroutine Documentation
   DOUBLE PRECISION function zlangb (characterNORM, integerN, integerKL, integerKU, complex*16, dimension( ldab, * )AB, integerLDAB, double
       precision, dimension( * )WORK)
       ZLANGB

       Purpose:

	    ZLANGB  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:
	   ZLANGB

	       ZLANGB = ( 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 ZLANGB as described
		     above.

	   N

		     N is INTEGER
		     The order of the matrix A.  N >= 0.  When N = 0, ZLANGB 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 COMPLEX*16 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:
	   November 2011

       Definition at line 125 of file zlangb.f.

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

Version 3.4.1							  Sun May 26 2013						       zlangb.f(3)

Check Out this Related Man Page

ZLANGB(l)								 )								 ZLANGB(l)

NAME

       ZLANGB - 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 band matrix A, with kl sub-diagonals and ku super-diagonals

SYNOPSIS

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

	   CHARACTER	NORM

	   INTEGER	KL, KU, LDAB, N

	   DOUBLE	PRECISION WORK( * )

	   COMPLEX*16	AB( LDAB, * )

PURPOSE

       ZLANGB 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

       ZLANGB returns the value

	  ZLANGB = ( 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 ZLANGB as described above.

       N       (input) INTEGER
	       The order of the matrix A.  N >= 0.  When N = 0, ZLANGB 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) COMPLEX*16 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 (LWORK),
	       where LWORK >= N when NORM = 'I'; otherwise, WORK is not referenced.

LAPACK version 3.0						   15 June 2000 							 ZLANGB(l)
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