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clantr.f(3)				      LAPACK				      clantr.f(3)

NAME
       clantr.f -

SYNOPSIS
   Functions/Subroutines
       REAL function clantr (NORM, UPLO, DIAG, M, N, A, LDA, WORK)
	   CLANTR returns the value of the 1-norm, or the Frobenius norm, or the infinity norm,
	   or the element of largest absolute value of a trapezoidal or triangular matrix.

Function/Subroutine Documentation
   REAL function clantr (characterNORM, characterUPLO, characterDIAG, integerM, integerN,
       complex, dimension( lda, * )A, integerLDA, real, dimension( * )WORK)
       CLANTR returns the value of the 1-norm, or the Frobenius norm, or the infinity norm, or
       the element of largest absolute value of a trapezoidal or triangular matrix.

       Purpose:

	    CLANTR  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.

       Returns:
	   CLANTR

	       CLANTR = ( 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 CLANTR as described
		     above.

	   UPLO

		     UPLO is 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

		     DIAG is CHARACTER*1
		     Specifies whether or not the matrix A has unit diagonal.
		     = 'N':  Non-unit diagonal
		     = 'U':  Unit diagonal

	   M

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

	   N

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

	   A

		     A is COMPLEX 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 trapezoidal 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

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

	   WORK

		     WORK is REAL array, dimension (MAX(1,LWORK)),
		     where LWORK >= M 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 142 of file clantr.f.

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

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