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man pages->IRIX man pages -> complib/zlansy (3)
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### Contents

ZLANSY(3F)							    ZLANSY(3F)

### NAME[Toc][Back]

ZLANSY - 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
symmetric matrix A

### SYNOPSIS[Toc][Back]

DOUBLE PRECISION FUNCTION ZLANSY( NORM, UPLO, N, A, LDA, WORK )

CHARACTER    NORM, UPLO

INTEGER      LDA, N

DOUBLE	      PRECISION	WORK( *	)

COMPLEX*16   A( LDA, *	)

### PURPOSE[Toc][Back]

ZLANSY  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
symmetric matrix A.

### DESCRIPTION[Toc][Back]

ZLANSY returns the	value

ZLANSY = ( 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 ZLANSY as described above.

UPLO    (input) CHARACTER*1
Specifies whether the upper or lower triangular part of the
symmetric matrix A	is to be referenced.  =	'U':  Upper triangular
part of A is referenced
= 'L':  Lower triangular part of A	is referenced

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

Page 1

ZLANSY(3F)							    ZLANSY(3F)

A	     (input) COMPLEX*16	array, dimension (LDA,N)
The symmetric matrix A.  If UPLO =	'U', the leading n by n	upper
triangular	part of	A contains the upper triangular	part of	the
matrix A, and the strictly	lower triangular part of A is not
referenced.  If UPLO = 'L', the leading n by n lower triangular
part of A contains	the lower triangular part of the matrix	A, and
the strictly upper	triangular part	of A is	not referenced.

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

WORK    (workspace) DOUBLE	PRECISION array, dimension (LWORK),
where LWORK >= N when NORM	= 'I' or '1' or	'O'; otherwise,	WORK
is	not referenced.
ZLANSY(3F)							    ZLANSY(3F)

### NAME[Toc][Back]

ZLANSY - 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
symmetric matrix A

### SYNOPSIS[Toc][Back]

DOUBLE PRECISION FUNCTION ZLANSY( NORM, UPLO, N, A, LDA, WORK )

CHARACTER    NORM, UPLO

INTEGER      LDA, N

DOUBLE	      PRECISION	WORK( *	)

COMPLEX*16   A( LDA, *	)

### PURPOSE[Toc][Back]

ZLANSY  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
symmetric matrix A.

### DESCRIPTION[Toc][Back]

ZLANSY returns the	value

ZLANSY = ( 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 ZLANSY as described above.

UPLO    (input) CHARACTER*1
Specifies whether the upper or lower triangular part of the
symmetric matrix A	is to be referenced.  =	'U':  Upper triangular
part of A is referenced
= 'L':  Lower triangular part of A	is referenced

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

Page 1

ZLANSY(3F)							    ZLANSY(3F)

A	     (input) COMPLEX*16	array, dimension (LDA,N)
The symmetric matrix A.  If UPLO =	'U', the leading n by n	upper
triangular	part of	A contains the upper triangular	part of	the
matrix A, and the strictly	lower triangular part of A is not
referenced.  If UPLO = 'L', the leading n by n lower triangular
part of A contains	the lower triangular part of the matrix	A, and
the strictly upper	triangular part	of A is	not referenced.

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

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

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