ZLANGE(3F)							    ZLANGE(3F)

NAME    [Toc]    [Back]

     ZLANGE - return the value of the one norm,	or the Frobenius norm, or the
     infinity norm, or the element of largest absolute value of	a complex
     matrix A

SYNOPSIS    [Toc]    [Back]

     DOUBLE PRECISION FUNCTION ZLANGE( NORM, M,	N, A, LDA, WORK	)

	 CHARACTER    NORM

	 INTEGER      LDA, M, N

	 DOUBLE	      PRECISION	WORK( *	)

	 COMPLEX*16   A( LDA, *	)

PURPOSE    [Toc]    [Back]

     ZLANGE  returns the value of the one norm,	 or the	Frobenius norm,	or the
     infinity norm,  or	the  element of	 largest absolute value	 of a complex
     matrix A.

DESCRIPTION    [Toc]    [Back]

     ZLANGE returns the	value

	ZLANGE = ( 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    [Toc]    [Back]

     NORM    (input) CHARACTER*1
	     Specifies the value to be returned	in ZLANGE as described above.

     M	     (input) INTEGER
	     The number	of rows	of the matrix A.  M >= 0.  When	M = 0, ZLANGE
	     is	set to zero.

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





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ZLANGE(3F)							    ZLANGE(3F)



     A	     (input) COMPLEX*16	array, dimension (LDA,N)
	     The m by n	matrix A.

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

     WORK    (workspace) DOUBLE	PRECISION array, dimension (LWORK),
	     where LWORK >= M when NORM	= 'I'; otherwise, WORK is not
	     referenced.
ZLANGE(3F)							    ZLANGE(3F)

NAME    [Toc]    [Back]

     ZLANGE - return the value of the one norm,	or the Frobenius norm, or the
     infinity norm, or the element of largest absolute value of	a complex
     matrix A

SYNOPSIS    [Toc]    [Back]

     DOUBLE PRECISION FUNCTION ZLANGE( NORM, M,	N, A, LDA, WORK	)

	 CHARACTER    NORM

	 INTEGER      LDA, M, N

	 DOUBLE	      PRECISION	WORK( *	)

	 COMPLEX*16   A( LDA, *	)

PURPOSE    [Toc]    [Back]

     ZLANGE  returns the value of the one norm,	 or the	Frobenius norm,	or the
     infinity norm,  or	the  element of	 largest absolute value	 of a complex
     matrix A.

DESCRIPTION    [Toc]    [Back]

     ZLANGE returns the	value

	ZLANGE = ( 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    [Toc]    [Back]

     NORM    (input) CHARACTER*1
	     Specifies the value to be returned	in ZLANGE as described above.

     M	     (input) INTEGER
	     The number	of rows	of the matrix A.  M >= 0.  When	M = 0, ZLANGE
	     is	set to zero.

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





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ZLANGE(3F)							    ZLANGE(3F)



     A	     (input) COMPLEX*16	array, dimension (LDA,N)
	     The m by n	matrix A.

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

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


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