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Factorizations in the rings of the block matrices
Authors: Vasyl' Petrychkovych, Nataliia Dzhaliuk
– 0.14 Mb
Abstract
The factorizations in the rings of the block triangular and the block diagonal matrices over an integral domain of finitely generated principal ideals are described. Conditions for existence and uniqueness up to the association of the factorizations in such rings are established. The construction of the factorizations of matrices is reduced to the factorizations of diagonal blocks of the block triangular matrices and the solving of the linear Sylvester matrix equations.Pidstryhach Institute for Applied Problems of Mechanics
and Mathematics of the NAS
of Ukraine Department of Algebra
3b Naukova Str., 79060, L’viv, Ukraine
E-mail: б
and Mathematics of the NAS
of Ukraine Department of Algebra
3b Naukova Str., 79060, L’viv, Ukraine
E-mail: б
Fulltext
– 0.14 Mb
Contents
- Semi-symmetric isotopic closure of some group varieties and the corresponding identities
- Factorizations in the rings of the block matrices
- Inclusion Properties of Certain Subclass of Univalent Meromorphic Functions Defined by a Linear Operator Associated with the $\lambda$-Generalized Hurwitz-Lerch Zeta Function
- Interpolating Bézier spline surfaces with local control
- A Note on the Equivalence of Control Systems on Lie Groups
- Viscous flow through a porous medium filled by liquid with varying viscosity
- Invariant conditions of stability of unperturbed motion governed by some differential systems in the plane
- A Note on 2-Hypersurfaces of the Nearly Kählerian Six-Sphere
- Post-quantum No-key Protocol
- Some estimates for angular derivative at the boundary
