Finding All Solutions of Nonlinear Systems of Equations Using Linear Programming with Guaranteed Accuracy
Дата
Авторы
Nakaya,Yusuke
Oishi,Shin
Journal Title
Journal ISSN
Volume Title
Издатель
Journal of Universal Computer Science
Аннотация
Описание
A linear programming-based method is presented for finding all solutions of nonlinear systems of equations with guaranteed accuracy. In this method, a new effective linear programming-based method is used to delete regions in which solutions do not exist. On the other hand, Krawczyk's method is used to find regions in which solutions exist. As an illustrative example, all solutions of the nonlinear system of equations describing equilibrium conditions of the "high polymer liquid system", which is a well-known ill-conditioned system of equations, are identified by the method.
Ключевые слова
Nonlinear Equations , All Solutions , Guaranteed Accuracy , Linear Programming , Krawczyk's Method