九十年的k-三对角矩阵

IF 0.4 4区数学 Q4 MATHEMATICS

Studia Scientiarum Mathematicarum Hungarica Pub Date : 2020-10-20 DOI:10.1556/012.2020.57.3.1466

C. M. D. Fonseca, V. Kowalenko, L. Losonczi

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引用次数: 16

摘要

本文回顾了jenerEgerváry和Otto Szász在1928年关于三角多项式和简单结构矩阵的文章，主要关注后者。特别是，我们专注于本文中介绍的第一类矩阵的谱理论，今天被称为k-三对角矩阵，然后讨论在过去二十年中对它们的兴趣爆炸，其中大部分可能受益于开创性的文章，如果它没有被忽视的话。

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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Ninety years of k-tridiagonal matrices

This survey revisits Jenő Egerváry and Otto Szász’s article of 1928 on trigonometric polynomials and simple structured matrices focussing mainly on the latter topic. In particular, we concentrate on the spectral theory for the first type of the matrices introduced in the article, which are today referred to as k-tridiagonal matrices, and then discuss the explosion of interest in them over the last two decades, most of which could have benefitted from the seminal article, had it not been overlooked.

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来源期刊

Studia Scientiarum Mathematicarum Hungarica 数学-数学

CiteScore

1.30

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： The journal publishes original research papers on various fields of mathematics, e.g., algebra, algebraic geometry, analysis, combinatorics, dynamical systems, geometry, mathematical logic, mathematical statistics, number theory, probability theory, set theory, statistical physics and topology.