Home Man
Search
Today's Posts
Register

Linux & Unix Commands - Search Man Pages

CentOS 7.0 - man page for clantb.f (centos section 3)

clantb.f(3)				      LAPACK				      clantb.f(3)

NAME
       clantb.f -

SYNOPSIS
   Functions/Subroutines
       REAL function clantb (NORM, UPLO, DIAG, N, K, AB, LDAB, WORK)
	   CLANTB 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
   REAL function clantb (characterNORM, characterUPLO, characterDIAG, integerN, integerK,
       complex, dimension( ldab, * )AB, integerLDAB, real, dimension( * )WORK)
       CLANTB 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:

	    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.

       Returns:
	   CLANTB

	       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 consistent matrix norm.

       Parameters:
	   NORM

		     NORM is CHARACTER*1
		     Specifies the value to be returned in CLANTB 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, CLANTB 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 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

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

	   WORK

		     WORK is REAL 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 141 of file clantb.f.

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

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


All times are GMT -4. The time now is 03:56 PM.

Unix & Linux Forums Content Copyrightę1993-2018. All Rights Reserved.
UNIX.COM Login
Username:
Password:  
Show Password