一类特殊矩阵的特征值反问题

2011 Fourth International Joint Conference on Computational Sciences and Optimization Pub Date : 2011-04-25 DOI:10.1109/ICIC.2011.38

Zhibing Liu, Chengfeng Xu, Kanmin Wang

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引用次数: 4

摘要

本文研究了一类特殊实对称矩阵的特征值反问题:实对称的arrow - + jacobi矩阵。也就是说，从空间站来看，向前看起来像箭头矩阵向后看起来像雅可比矩阵。给出了这两个矩阵存在的充分必要条件。我们的结果是建设性的，从某种意义上说，它们生成了一个构造矩阵的算法程序。

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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The Inverse Eigenvalue Problem for a Special Kind of Matrices

In this paper we study a kind of inverse eigenvalue problem for a special kind of real symmetric matrices: the real symmetric Arrow-plus-Jacobi matrices. That is, matrices which look like arrow matrices forward and Jacobi backward, from the station, . We give a necessary and sufficient condition for the existence of such two matrices. Our results are constructive, 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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