A new cubic convergent method for solving a system of nonlinear equations
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所属单位：理学院
发表刊物：INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS
关键字：Cubic convergence global convergence Chebyshev's method nonlinear equations nonmonotone line search 65H10 90C53
摘要：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号：0020-7160
是否译文：否
发表时间：2017-01-01
合写作者：杨维维
通讯作者：倪勤