Title of Paper:A new cubic convergent method for solving a system of nonlinear equations

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Affiliation of Author(s):理学院

Journal:INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS

Key Words:Cubic convergence global convergence Chebyshev's method nonlinear equations nonmonotone line search 65H10 90C53

Abstract:We present a new cubic convergent method for solving a system of nonlinear equations. The new method can be viewed as a modified Chebyshev's method in which the difference of Jacobian matrixes replaces three order tensor. Therefore, the new method reduces the storage and computational cost. The new method possesses the local cubic convergence as well as Chebyshev's method. A rule is deduced to ensure the descent property of the search direction, and a nonmonotone line search technique is used to guarantee the global convergence. Numerical results indicate that the new method is competitive and efficient for some classical test problems.

ISSN No.:0020-7160

Translation or Not:no

Date of Publication:2017-01-01

Co-author:杨维维

Correspondence Author:nq