** Next:** Software Availability
** Up:** GUPTRI Algorithm
** Previous:** Criterion for Determining the
** Contents**
** Index**

####

The GUPTRI Form of a Regularized Problem.

The deflations made in the staircase
algorithm result in an exact GUPTRI form of a nearby matrix
pencil
:

If all range/null space separations
in the GUPTRI algorithm are well defined with respect
to the deflation tolerance parameters and *gap*, then
.
The nearby problem represents a regularized problem that
has a stable Kronecker structure with respect to the
deflation criteria of the algorithm.

Susan Blackford
2000-11-20