¹College of Mathematics and Computer Science Guangxi, University for Nationalities, Nanning 530006, China
²College of Computer and Electron information, Guangxi University, Nanning 530004, China

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Abstract—In this paper, the problem on solving nonlinear equations is transformed into that of function optimization. A new Quasi-Newton Population Migration Algorithm (QPMA) is proposed via combination of population migration algorithm and Quasi-Newton method. The algorithm has the advantages of the Population Migration Algorithm (PMA) such as region search in a certain extent and avoid getting into the local optimum and the Quasi- Newton method such as Quasi-Newton’s local strong searching. Finally, the numerical experiments result show that this algorithm can find the rapid and effective interval solution and the probability of success is higher.

Index Terms—Nonlinear equations, Quasi-Newton method, Population Migration Algorithm

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Cite: Hongxia Liu, Yongquan Zhou, Yongmei Li, "A Quasi-Newton Population Migration Algorithm for Solving Systems of Nonlinear Equations," Journal of Computers vol. 6, no. 1, pp. 36-42, 2011.