Article ID Journal Published Year Pages File Type
4602534 Linear Algebra and its Applications 2008 16 Pages PDF
Abstract

In this paper, we give new, simple and explicit necessary and sufficient conditions for the existence of a matrix pencil with prescribed Kronecker invariants and a regular subpencil. Moreover, we explicitly solve the problem of describing the possible Kronecker invariants of a pencil with a prescribed subpencil in the case of the existence of an intermediate regular pencil. All the results are obtained over algebraically closed fields.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory