用两个特征对构造正定双箭头矩阵

2011 Fourth International Joint Conference on Computational Sciences and Optimization Pub Date : 2011-04-15 DOI:10.1109/CSO.2011.186

Kanmin Wang, Zhibing Liu, Chengfeng Xu

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引用次数: 0

摘要

提出了实对称正定Arrow矩阵的一类特征值反问题。得到了该问题唯一解存在的充分必要条件，并给出了该解的解析式，所得结果具有构造性，即生成了构造矩阵的算法过程。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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On the Construction of Positive Definite Doubly Arrow Matrix from Two Eigenpairs

A class of inverse eigenvalue problem is proposed for real symmetric positive definite Arrow matrices. Necessary and sufficient conditions for the existence of a unique solution of this problem, as well as the analytic formula of this solution are derived, Our results are on structive, in the sense that they generate an algorithmic procedure to construct the matrix.

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2011 Fourth International Joint Conference on Computational Sciences and Optimization

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