Zero-degree solutions to the bilateral polynomial matrix equations
type: Item
instance of: scholarly article
title: Zero-degree solutions to the bilateral polynomial matrix equations
zbMATH Open document ID: 0608.15005
author: Tadeusz Kaczorek
published in: Bulletin of the Polish Academy of Sciences. Technical Sciences
publication date: 1986-01-01T00:00:00Z
review text: The paper deals with the bilateral polynomial matrix equation \(AX+YB=C\) and, for given A, B, C, with the following two problems: 1. Find X, Y such that deg X\(=0\) and deg Y\(=0\); 2. Find X, Y such that deg X\(=0\) and deg \(Y\leq \max (\deg A\), deg C) - deg B. Necessary and sufficient conditions for the existence of the solutions are respectively proved. For problem 2 an illustrative example is given.
Mathematics Subject Classification ID: 15A24
zbMATH DE Number: 3983387
zbMATH Keywords: zero-degree solutions
zbMATH Keywords: bilateral polynomial matrix equation
reviewed by: Mihail Voicu
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 3983387