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man pages->IRIX man pages -> complib/ORTBAK (3)
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Contents

```
_ORTBAK(3F)							   _ORTBAK(3F)

```

NAME[Toc][Back]

```     ORTBAK, SORTBAK  -	 EISPACK routine.  This	subroutine forms the
eigenvectors of a REAL GENERAL matrix by back transforming	those of the
corresponding upper Hessenberg matrix determined by  ORTHES.

```

SYNOPSYS[Toc][Back]

```	  subroutine  ortbak(nm, low, igh, a, ort, m, z)
integer	   nm, low, igh, m
double precision a(nm,igh), ort(igh),	z(nm,m)

subroutine sortbak(nm, low, igh, a, ort, m, z)
integer	   nm, low, igh, m
real		   a(nm,igh), ort(igh),	z(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  BALANC.
If	 BALANC	 has not been used, set	LOW=1 and IGH equal to the order of
the matrix.

A contains	information about the orthogonal trans-	formations used	in the
reduction by  ORTHES in its strict	lower triangle.

ORT contains further information about the	trans- formations used in the
reduction by  ORTHES.  Only elements LOW through IGH are used.

M is the number of	columns	of Z to	be back	transformed.

Z contains	the real and imaginary parts of	the eigen- vectors to be back
transformed in its	first M	columns.  On OUTPUT

Z contains	the real and imaginary parts of	the transformed	eigenvectors
in	its first M columns.

ORT has been altered. NOTE	that ORTBAK 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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