Applied Mathematics

Volume 3, Issue 10 (October 2012)

ISSN Print: 2152-7385   ISSN Online: 2152-7393

Google-based Impact Factor: 0.58  Citations  

A Fixed Point Method for Convex Systems

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DOI: 10.4236/am.2012.330189    5,011 Downloads   7,822 Views  

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.

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Kimiaei, M. and Rahpeymaii, F. (2012) A Fixed Point Method for Convex Systems. Applied Mathematics, 3, 1327-1333. doi: 10.4236/am.2012.330189.

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