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RedHat 9 (Linux i386) - man page for slantr (redhat section l)

SLANTR(l)					)					SLANTR(l)

NAME
       SLANTR - return the value of the one norm, or the Frobenius norm, or the infinity norm, or
       the element of largest absolute value of a trapezoidal or triangular matrix A

SYNOPSIS
       REAL FUNCTION SLANTR( NORM, UPLO, DIAG, M, N, A, LDA, WORK )

	   CHARACTER DIAG, NORM, UPLO

	   INTEGER   LDA, M, N

	   REAL      A( LDA, * ), WORK( * )

PURPOSE
       SLANTR returns the value of the one norm, or the Frobenius norm, or the infinity norm,  or
       the element of largest absolute value of a trapezoidal or triangular matrix A.

DESCRIPTION
       SLANTR returns the value

	  SLANTR = ( 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 SLANTR as described above.

       UPLO    (input) CHARACTER*1
	       Specifies whether the matrix A is upper	or  lower  trapezoidal.   =  'U':   Upper
	       trapezoidal
	       =  'L':	Lower trapezoidal Note that A is triangular instead of trapezoidal if M =
	       N.

       DIAG    (input) CHARACTER*1
	       Specifies whether or not the matrix A has unit diagonal.  = 'N':  Non-unit  diago-
	       nal
	       = 'U':  Unit diagonal

       M       (input) INTEGER
	       The  number of rows of the matrix A.  M >= 0, and if UPLO = 'U', M <= N.  When M =
	       0, SLANTR is set to zero.

       N       (input) INTEGER
	       The number of columns of the matrix A.  N >= 0, and if UPLO = 'L', N <= M.  When N
	       = 0, SLANTR is set to zero.

       A       (input) REAL array, dimension (LDA,N)
	       The trapezoidal matrix A (A is triangular if M = N).  If UPLO = 'U', the leading m
	       by n upper trapezoidal part of the array A contains the upper trapezoidal  matrix,
	       and the strictly lower triangular part of A is not referenced.  If UPLO = 'L', the
	       leading m by n lower trapezoidal part of the array A  contains  the  lower  trape-
	       zoidal  matrix,	and  the  strictly  upper triangular part of A is not referenced.
	       Note that when DIAG = 'U', the diagonal elements of A are not referenced  and  are
	       assumed to be one.

       LDA     (input) INTEGER
	       The leading dimension of the array A.  LDA >= max(M,1).

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

LAPACK version 3.0			   15 June 2000 				SLANTR(l)


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