RESEARCH ARTICLE

On the one-side equivalence of matrices with given canonical diagonal form

V. Shchedryk

Pidstryhach Institute for Applied Problems of mechanics and Mathematics NAS of Ukraine, 3b Naukova Str., Lviv, 79060

Abstract: The simpler form of a matrix with canonical diagonal form $\mathrm{diag}(1,\dots,1,\varphi,\dots,\varphi)$ obtained by the one-side transformation is determined.

Keywords: adequate ring, canonical diagonal form, Hermite normal form, one-side equivalence of matrices, invariants, primitive matrices.

MSC: 15A21

Received: 16.09.2011
Revised: 21.12.2011

Language: English

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