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CLANTR(3F)							    CLANTR(3F)

NAME
     CLANTR - 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 CLANTR( NORM, UPLO, DIAG, M, N, A, LDA, WORK )

	 CHARACTER DIAG, NORM, UPLO

	 INTEGER   LDA, M, N

	 REAL	   WORK( * )

	 COMPLEX   A( LDA, * )

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.

DESCRIPTION
     CLANTR returns the value

	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  matrix norm.

ARGUMENTS
     NORM    (input) CHARACTER*1
	     Specifies the value to be returned in CLANTR 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 diagonal

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CLANTR(3F)							    CLANTR(3F)

	     = '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, CLANTR 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, CLANTR is set to zero.

     A	     (input) 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     (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.

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