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

```
_CORTB(3F)							    _CORTB(3F)

```

### NAME[Toc][Back]

```     CORTB, SCORTB   -	EISPACK	routine.  This subroutine forms	the
eigenvectors of a COMPLEX GENERAL matrix by back transforming those of
the corresponding upper Hessenberg	matrix determined by  CORTH.

```

### SYNOPSYS[Toc][Back]

```	  subroutine  cortb(nm,	low, igh, ar, ai, ortr,	orti, m, zr, zi)
integer	   nm, low, igh, m
double precision ar(nm,igh), ai(nm,igh), ortr(igh), orti(igh)
double precision zr(nm,m),   zi(nm,m)

subroutine scortb(nm,	low, igh, ar, ai, ortr,	orti, m, zr, zi)
integer	   nm, low, igh, m
real		   ar(nm,igh), ai(nm,igh), ortr(igh), orti(igh)
real		   zr(nm,m),   zi(nm,m)

```

### 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.

LOW and IGH are integers determined by the	balancing subroutine  CBAL.
If	 CBAL  has not been used, set LOW=1 and	IGH equal to the order of the
matrix.

AR	and AI contain information about the unitary transformations used in
the reduction by  CORTH in	their strict lower triangles.

ORTR and ORTI contain further information about the transformations used
in	the reduction by  CORTH.  Only elements	LOW through IGH	are used.

M is the number of	columns	of ZR and ZI to	be back	transformed.

ZR	and ZI contain the real	and imaginary parts, respectively, of the
eigenvectors to be	back transformed in their first	M columns.  On OUTPUT

ZR	and ZI contain the real	and imaginary parts, respectively, of the
transformed eigenvectors in their first M columns.

ORTR and ORTI have	been altered. Note that	CORTB preserves	vector
Euclidean norms.  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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