与切比雪夫多项式相关的最小矩阵的一些结果

IF 0.6 4区数学 Q2 LOGIC

Logic Journal of the IGPL Pub Date : 2024-03-20 DOI:10.1093/jigpal/jzae028

Fatih Yilmaz, Samet Arpaci, Aybüke Ertaş

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引用次数: 0

摘要

在本研究中，受文献研究的启发，我们考虑了 Min 矩阵及其哈达玛指数矩阵族，它们的元素是切比雪夫多项式的第一种。随后，我们研究了它们的各种线性代数性质，并得到了一些不等式。此外，我们还通过举例说明来阐明我们所获得的结果，以提高论文的清晰度。除此之外，我们还给出了两个 MATLAB-R2023a 代码，用于计算带有切比雪夫多项式第一类项的 Min 矩阵和 Hadamard 指数矩阵，以及计算一些矩阵规范。

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Some results for min matrices associated with Chebyshev polynomials

In the present study, inspired by the studies in the literature, we consider Min matrix and its Hadamard exponential matrix family whose elements are Chebyshev polynomials of the first kind. Afterwards, we examine their various linear algebraic properties and obtain some inequalities. Furthermore, we shed light on the results we obtained to boost the clarity of our paper with the illustrative examples. In addition to all these, we give two MATLAB-R2023a codes that compute the Min matrix and the Hadamard exponential matrix with Chebyshev polynomials of the first kind entries, as well as calculate some matrix norms.

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来源期刊

Logic Journal of the IGPL 数学-数学

CiteScore

2.60

自引率

10.00%

发文量

审稿时长

6-12 weeks

期刊介绍： Logic Journal of the IGPL publishes papers in all areas of pure and applied logic, including pure logical systems, proof theory, model theory, recursion theory, type theory, nonclassical logics, nonmonotonic logic, numerical and uncertainty reasoning, logic and AI, foundations of logic programming, logic and computation, logic and language, and logic engineering. Logic Journal of the IGPL is published under licence from Professor Dov Gabbay as owner of the journal.