一类特殊非循环矩阵的逆谱问题

IF 0.6 4区计算机科学 Q4 COMPUTER SCIENCE, THEORY & METHODS

International Journal of Foundations of Computer Science Pub Date : 2023-09-25 DOI:10.1142/s0129054123460048

Qifang Su

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引用次数: 0

摘要

本文研究了从给定的部分特征数据重构图为中心点有根的星型矩阵的问题。讨论了三个反谱问题。研究了问题可解性的充分必要条件。并给出了相应的数值算法。通过数值算例验证了所得结果的适用性。

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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Inverse Spectral Problems for a Special Acyclic Matrix

In this paper, we consider the reconstruction of matrices whose graph is a star with root at the central vertex from given partial eigen data. Three inverse spectral problems are discussed. The necessary and sufficient conditions for the solvability of the problems are studied. Furthermore, the corresponding numerical algorithms are presented. Some numerical examples are also provided to demonstrate the applicability of the results obtained here.

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来源期刊

International Journal of Foundations of Computer Science 工程技术-计算机：理论方法

CiteScore

1.60

自引率

12.50%

发文量

审稿时长

3 months

期刊介绍： The International Journal of Foundations of Computer Science is a bimonthly journal that publishes articles which contribute new theoretical results in all areas of the foundations of computer science. The theoretical and mathematical aspects covered include: - Algebraic theory of computing and formal systems - Algorithm and system implementation issues - Approximation, probabilistic, and randomized algorithms - Automata and formal languages - Automated deduction - Combinatorics and graph theory - Complexity theory - Computational biology and bioinformatics - Cryptography - Database theory - Data structures - Design and analysis of algorithms - DNA computing - Foundations of computer security - Foundations of high-performance computing