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man pages->IRIX man pages -> complib/HTRIB3 (3)
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Contents

```
_HTRIB3(3F)							   _HTRIB3(3F)

```

NAME[Toc][Back]

```     HTRIB3, SHTRIB3  -	 EISPACK routine.  This	subroutine forms the
eigenvectors of a COMPLEX HERMITIAN matrix	by back	transforming those of
the corresponding real symmetric tridiagonal matrix determined by
HTRID3.

```

SYNOPSYS[Toc][Back]

```	  subroutine  htrib3(nm, n, a, tau, m, zr, zi)
integer	   nm, n, m
double precision a(nm,n), tau(2,n), zr(nm,m),	zi(nm,m)

subroutine shtrib3(nm, n, a, tau, m, zr, zi)
integer	   nm, n, m
real		   a(nm,n), tau(2,n), 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.

N is the order of the matrix.

A contains	information about the unitary transformations used in the
reduction by  HTRID3.

TAU contains further information about the	transformations.

M IS the number of	eigenvectors to	be back	transformed.

ZR	contains the eigenvectors to be	back transformed in its	first M
columns.  On OUTPUT

ZR	and ZI contain the real	and imaginary parts, respectively, of the
transformed eigenvectors in their first M columns.	 NOTE that the last
component of each returned	vector is real and that	vector Euclidean norms
are preserved.  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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