The inverse eigenvalue problem for a bordered anti-tridiagonal matrix

Qike Wang; Hongliang Huang; Zhibin Li; Lidong Wang

doi:10.1117/12.2627492

22 April 2022 The inverse eigenvalue problem for a bordered anti-tridiagonal matrix

Qike Wang, Hongliang Huang, Zhibin Li, Lidong Wang

Proceedings Volume 12163, International Conference on Statistics, Applied Mathematics, and Computing Science (CSAMCS 2021); 121633Q (2022) https://doi.org/10.1117/12.2627492
Event: International Conference on Statistics, Applied Mathematics, and Computing Science (CSAMCS 2021), 2021, Nanjing, China

Abstract

The inverse matrix problem is a hot and active research topic in computational mathematics^[1]. It has broad applications in engineering and scientific calculation, and owns a strong background in physics and practical significance^[2]. This paper explores the inverse eigenvalue problem of a bordered anti-tridiagonal matrix. It first illustrates the existence and the uniqueness of its solution, the elaborates on the recursive expression of the solution and uses one numerical example to show the effectiveness of the algorithm, and finally concludes that this work is significant and points out suggestions for further study.

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Qike Wang, Hongliang Huang, Zhibin Li, and Lidong Wang "The inverse eigenvalue problem for a bordered anti-tridiagonal matrix", Proc. SPIE 12163, International Conference on Statistics, Applied Mathematics, and Computing Science (CSAMCS 2021), 121633Q (22 April 2022); https://doi.org/10.1117/12.2627492

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KEYWORDS

Matrices

Bismuth

Computational mathematics

Algorithms

Atmospheric physics

Atmospheric sensing

Geophysics

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