International Journal of applied mathematics and computer science

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Paper details

Number 2 - June 2000
Volume 10 - 2000

Existence and computation of the set of positive solutions to polynomial matrix equations

Tadeusz Kaczorek, Rafał Łopatka

Abstract
Necessary and sufficient conditions are established for the existence of positive solutions to polynomial diophatine equations. A method of computing of the set of positive solutions to a polynomial diophatine equation based on extreme points and extreme directions is proposed. The effectiveness of the method is demonstrated on a numerical example.

Keywords
computation, set of positive solutions, polynomial matrix equation