CLANHB man page on IRIX

Man page or keyword search:  
man Server   31559 pages
apropos Keyword Search (all sections)
Output format
IRIX logo
[printable version]



CLANHB(3F)							    CLANHB(3F)

NAME
     CLANHB - 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
     hermitian band matrix A, with k super-diagonals

SYNOPSIS
     REAL FUNCTION CLANHB( NORM, UPLO, N, K, AB, LDAB, WORK )

	 CHARACTER NORM, UPLO

	 INTEGER   K, LDAB, N

	 REAL	   WORK( * )

	 COMPLEX   AB( LDAB, * )

PURPOSE
     CLANHB  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
     hermitian band matrix A,  with k super-diagonals.

DESCRIPTION
     CLANHB returns the value

	CLANHB = ( 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 CLANHB 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
	     = 'L':  Lower triangular

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

									Page 1

CLANHB(3F)							    CLANHB(3F)

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

     AB	     (input) COMPLEX array, dimension (LDAB,N)
	     The upper or lower triangle of the hermitian 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 the
	     imaginary parts of the diagonal elements need not be set and are
	     assumed to be zero.

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

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

									Page 2

[top]

List of man pages available for IRIX

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