A Quasi-Newton Population Migration Algorithm for Solving Systems of Nonlinear Equations
Hongxia Liu, Yongquan Zhou, Yongmei Li · Journal of Computers · 2011
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.