TITLE:
A Fixed Point Method for Convex Systems
AUTHORS:
Morteza Kimiaei, Farzad Rahpeymaii
KEYWORDS:
Convex Equations; Least Squares; -Regularization Problems; Fixed Point; Quadratically Convergence
JOURNAL NAME:
Applied Mathematics,
Vol.3 No.10A,
November
1,
2012
ABSTRACT: We present a new fixed point technique to solve a system of convex equations in several variables. Our approach is based on two powerful algorithmic ideas: operator-splitting and steepest descent direction. The quadratic convergence of the proposed approach is established under some reasonable conditions. Preliminary numerical results are also reported.