Two‐step Newton‐type methods for solving inverse eigenvalue problems
Two‐step Newton‐type methods for solving inverse eigenvalue problems
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DOI：
10.1002/nla.2185
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发表时间：
2018-10
影响因子：
4.3
通讯作者：
X. Chen;Chao-Tao Wen;Hai-wei Sun
中科院分区：
文献类型：
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作者：
X. Chen;Chao-Tao Wen;Hai-wei Sun
In this paper, we apply the two‐step Newton method to solve inverse eigenvalue problems, including exact Newton, Newton‐like, and inexact Newton‐like versions. Our results show that both two‐step Newton and two‐step Newton‐like methods converge cubically, and the two‐step inexact Newton‐like method is super quadratically convergent. Numerical implementations demonstrate the effectiveness of new algorithms.
