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

```
ZLANHS(3F)							    ZLANHS(3F)

```

### NAME[Toc][Back]

```     ZLANHS - return the value of the one norm,	or the Frobenius norm, or the
infinity norm, or the element of largest absolute value of	a Hessenberg
matrix A
```

### SYNOPSIS[Toc][Back]

```     DOUBLE PRECISION FUNCTION ZLANHS( NORM, N,	A, LDA,	WORK )

CHARACTER    NORM

INTEGER      LDA, N

DOUBLE	      PRECISION	WORK( *	)

COMPLEX*16   A( LDA, *	)
```

### PURPOSE[Toc][Back]

```     ZLANHS  returns the value of the one norm,	 or the	Frobenius norm,	or the
infinity norm,  or	the  element of	 largest absolute value	 of a
Hessenberg	matrix A.

```

### DESCRIPTION[Toc][Back]

```     ZLANHS returns the	value

ZLANHS = ( 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 ZLANHS as described above.

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

A	     (input) COMPLEX*16	array, dimension (LDA,N)
The n by n	upper Hessenberg matrix	A; the part of A below the
first sub-diagonal	is not referenced.

Page 1

ZLANHS(3F)							    ZLANHS(3F)

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'; otherwise, WORK is not
referenced.
ZLANHS(3F)							    ZLANHS(3F)

```

### NAME[Toc][Back]

```     ZLANHS - return the value of the one norm,	or the Frobenius norm, or the
infinity norm, or the element of largest absolute value of	a Hessenberg
matrix A
```

### SYNOPSIS[Toc][Back]

```     DOUBLE PRECISION FUNCTION ZLANHS( NORM, N,	A, LDA,	WORK )

CHARACTER    NORM

INTEGER      LDA, N

DOUBLE	      PRECISION	WORK( *	)

COMPLEX*16   A( LDA, *	)
```

### PURPOSE[Toc][Back]

```     ZLANHS  returns the value of the one norm,	 or the	Frobenius norm,	or the
infinity norm,  or	the  element of	 largest absolute value	 of a
Hessenberg	matrix A.

```

### DESCRIPTION[Toc][Back]

```     ZLANHS returns the	value

ZLANHS = ( 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 ZLANHS as described above.

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

A	     (input) COMPLEX*16	array, dimension (LDA,N)
The n by n	upper Hessenberg matrix	A; the part of A below the
first sub-diagonal	is not referenced.

Page 1

ZLANHS(3F)							    ZLANHS(3F)

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'; otherwise, WORK is not
referenced.

PPPPaaaaggggeeee 2222```
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