A cubically convergent method for solving the largest eigenvalue of a nonnegative irreducible tensor
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所属单位：理学院
发表刊物：NUMERICAL ALGORITHMS
关键字：Cubic convergence Tensor eigenvalue Nonnegative irreducible tensor Chebyshev's method
摘要：In this paper, we present a cubically convergent method for finding the largest eigenvalue of a nonnegative irreducible tensor. A cubically convergent method is used to solve an equivalent system of nonlinear equations which is transformed by the tensor eigenvalue problem. Due to particular structure of tensor, Chebyshev's direction is added to the method with a few extra computation. Two rules are designed such that the descendant property of the search directions is ensured. The global convergence is proved by using the line search technique. Numerical results indicate that the proposed method is competitive and efficient on some test problems.
ISSN号：1017-1398
是否译文：否
发表时间：2018-04-01
合写作者：杨维维
通讯作者：倪勤