Title :
A semi-interior-point homotopy method for brouwer fixed-point
Author :
Haifu, Li ; Yufeng, Shang
Author_Institution :
Dept. of Electron. Inf. Eng., ChangChun Univ., Changchun, China
Abstract :
In this paper, a constraint shifting combined homotopy method for solving brouwer fixed-point problems with both equality and inequality constraints is presented. It needs not the starting point to be an interior point and even a feasible point and hence is convenient to use. Under some assumptions, existence and convergence of a smooth path to an efficient solution is proven. Simple numerical results are given.
Keywords :
convergence; convex programming; topology; Brouwer fixed-point problem; constraint shifting combined homotopy method; convergence; equality constraint; inequality constraint; semi-interior-point homotopy method; Artificial neural networks; IEL; Optimization; Brouwer Fixed-Point; Global Convergence; Homotopy Method; Semi-interior Point Method;
Conference_Titel :
Advanced Computer Theory and Engineering (ICACTE), 2010 3rd International Conference on
Conference_Location :
Chengdu
Print_ISBN :
978-1-4244-6539-2
DOI :
10.1109/ICACTE.2010.5579647
