This article is cited in 7 papers

Reduction of matrices by means of equivalent transformations and similarity transformations

B. Z. Shavarovskii

Ya. S. Pidstryhach Institute for Applied Problems of Mechanics and Mathematics, NAS Ukraine

Abstract: The structure of polynomial matrices in connection with their reducibility by semiscalar-equivalent transformations and similarity transformations to simpler forms is considered. In particular, the canonical form of polynomial matrices without multiple characteristic roots with respect to the above transformations is indicated. This allows one to establish a canonical form with respect to similarity for a certain type of finite collections of numerical matrices.

UDC: 512.64

Received: 29.02.1996
Revised: 20.04.1998

DOI: 10.4213/mzm1453

 English version: Mathematical Notes, 1998, 64:5, 663–673

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