dlansb man page on Scientific

Man page or keyword search:  
man Server   26626 pages
apropos Keyword Search (all sections)
Output format
Scientific logo
[printable version]

DLANSB(1)	    LAPACK auxiliary routine (version 3.2)	     DLANSB(1)

NAME
       DLANSB  -  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 symmetric band matrix A, with k super-diagonals

SYNOPSIS
       DOUBLE PRECISION FUNCTION DLANSB( NORM, UPLO, N, K, AB, LDAB, WORK )

	   CHARACTER	NORM, UPLO

	   INTEGER	K, LDAB, N

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

PURPOSE
       DLANSB	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 symmetric band matrix A,  with k super-diagonals.

DESCRIPTION
       DLANSB returns the value
	  DLANSB = ( 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	 DLANSB	 as  described
	       above.

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

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

       K       (input) INTEGER
	       The number of super-diagonals  or  sub-diagonals	 of  the  band
	       matrix A.  K >= 0.

       AB      (input) DOUBLE PRECISION array, dimension (LDAB,N)
	       The  upper  or  lower  triangle of the symmetric 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).

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

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

 LAPACK auxiliary routine (versioNovember 2008			     DLANSB(1)
[top]

List of man pages available for Scientific

Copyright (c) for man pages and the logo by the respective OS vendor.

For those who want to learn more, the polarhome community provides shell access and support.

[legal] [privacy] [GNU] [policy] [cookies] [netiquette] [sponsors] [FAQ]
Tweet
Polarhome, production since 1999.
Member of Polarhome portal.
Based on Fawad Halim's script.
....................................................................
Vote for polarhome
Free Shell Accounts :: the biggest list on the net