Existence and Computation of the Set of Positive Solutions to Polynomial Matrix Equations
Tadeusz Kaczorek, Rafał Łopatka · Digital library of Zielona Gora (University of Zielona Góra) · 2000
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.