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Applied Mathematics
Article . 2012 . Peer-reviewed
License: CC BY
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Applied Mathematics
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A Fixed Point Method for Convex Systems

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 2012Publisher:Scientific Research Publishing, Inc.Journal:Applied Mathematics, volume 3, pages 1,327-1,333 (issn: 2152-7385, eissn: 2152-7393, Copyright policy )
Authors: Farzad Rahpeymaii; Morteza Kimiaei;

doi: 10.4236/am.2012.330189

A Fixed Point Method for Convex Systems

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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citations
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
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