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

```
_COMHES(3F)							   _COMHES(3F)

```

### NAME[Toc][Back]

```     COMHES, SCOMHES  -	 EISPACK routine.  Given a COMPLEX GENERAL matrix,
this subroutine reduces a submatrix situated in rows and columns LOW
through IGH to upper Hessenberg form by stabilized	elementary similarity
transformations.

```

### SYNOPSYS[Toc][Back]

```	  subroutine  comhes(nm, n, low, igh, ar, ai, int)
integer	   nm, n, low, igh
double precision ar(nm,n), ai(nm,n)
integer	   int(igh)

subroutine scomhes(nm, n, low, igh, ar, ai, int)
integer	   nm, n, low, igh
real		   ar(nm,n), ai(nm,n)
integer	   int(igh)

```

### DESCRIPTION[Toc][Back]

```     On	INPUT

NM	must be	set to the row dimension of two-dimensional array parameters
as	declared in the	calling	program	dimension statement.

N is the order of the matrix.

LOW and IGH ARE integers determined by the	balancing subroutine  CBAL.
If	 CBAL  has not been used, set LOW=1, IGH=N.

AR	and AI contain the real	and imaginary parts, respectively, of the
complex input matrix.  On OUTPUT

AR	and AI contain the real	and imaginary parts, respectively, of the
Hessenberg	matrix.	 The multipliers which were used in the	reduction are
stored in the remaining triangles under the Hessenberg matrix.

INT contains information on the rows and columns interchanged in the
reduction.	 Only elements LOW through IGH are used.  Calls	CDIV for
complex division.	Questions and comments should be directed to B.	S.
Garbow, APPLIED MATHEMATICS DIVISION, ARGONNE NATIONAL LABORATORY

PPPPaaaaggggeeee 1111```
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