Title :
A finitely convergent algorithm for convex inequalities
Author :
Fukushima, Masao
Author_Institution :
Kyoto University, Kyoto, Japan
fDate :
10/1/1982 12:00:00 AM
Abstract :
In engineering design problems, it is often necessary to find a solution to a system of nonlinear inequalities in which the functions involved are not necessarily differentiable. In this paper, assuming convexity of the functions, an algorithm is presented for solving such systems of inequalities in a finite number of iterations.
Keywords :
Nonlinear systems; Numerical methods; Optimization methods; Approximation algorithms; Design engineering; Manufacturing; Newton method;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.1982.1103081