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Advances in Operations Research
Volume 2013, Article ID 513918, 7 pages
Research Article

A Newton-Type Algorithm for Solving Problems of Search Theory

Department of Mathematical Sciences, Tsinghua University, Beijing 100084, China

Received 9 March 2012; Accepted 15 December 2012

Academic Editor: Chandal Nahak

Copyright © 2013 Liping Zhang. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


In the survey of the continuous nonlinear resource allocation problem, Patriksson pointed out that Newton-type algorithms have not been proposed for solving the problem of search theory in the theoretical perspective. In this paper, we propose a Newton-type algorithm to solve the problem. We prove that the proposed algorithm has global and superlinear convergence. Some numerical results indicate that the proposed algorithm is promising.