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The relationships between common multiples of matrices over commutative Bézout domain of stable range 1.5
Authors: Andrii Romaniv
Keywords: commutative Bézout domain, common multiple of matrices, Smith form, stable range 1.5
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Keywords: commutative Bézout domain, common multiple of matrices, Smith form, stable range 1.5
Abstract
In the paper, we study common right multiples of matrices over commutative B\'ezout domains of stable range 1.5. In particular, for nonsingular matrices of arbitrary order, we indicate the relationships between their common right multiples under certain restrictions on invariant factors. We also establish connections between the invariant factors of the given matrices and the invariant factors of their common right multiples. Furthermore, in this paper we study the structure of the least common right multiple of matrices, specifically its Smith normal form and transforming matrices. As a result, we propose a new method for finding the least common right multiple and establish relationships between the Smith forms of the given matrices and the Smith form of their least common right multiple.Pidstryhach Institute for Applied Problems of Mechanics
and Mathematics, National Academy of Sciences of
Ukraine, Lviv, Ukraine
E-mail:
and Mathematics, National Academy of Sciences of
Ukraine, Lviv, Ukraine
E-mail:
DOI
https://doi.org/10.56415/basm.y2025.i2-3.p62Fulltext
– 0.29 Mb
Contents
- Dissipative Dirac Operator on Time Scales
- On the Asymptotic Behavior of Solutions of the Cauchy Problem for a Hyperbolic Equation with Periodic Coefficients
- Global Attractors of Non-autonomous Lattice Dynamical Systems
- The relationships between common multiples of matrices over commutative Bézout domain of stable range 1.5
- Temporal Analysis of Hidden and Standard Markov Processes with Final Sequences of States
- Continuous Gromov--Hausdorff distance
- Polynomial algorithm for the disjoint bilinear programming problem with an acute-angled polytope for a disjoint subset
- Solution of a renewal equation in population biology and epidemiology
