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On the Norms of RFMLR-Circulant Matrices with the Exponential and Trigonometric Functions
Journal of Mathematics ( IF 1.3 ) Pub Date : 2021-06-17 , DOI: 10.1155/2021/2079104
Baijuan Shi 1
Affiliation  

In this paper, based on combinatorial methods and the structure of RFMLR-circulant matrices, we study the spectral norms of RFMLR-circulant matrices involving exponential forms and trigonometric functions. Firstly, we give some properties of exponential forms and trigonometric functions. Furthermore, we study Frobenius norms, the lower and upper bounds for the spectral norms of RFMLR-circulant matrices involving exponential forms and trigonometric functions by some ingenious algebra methods, and then we obtain new refined results.

中文翻译:

具有指数函数和三角函数的RFMLR-循环矩阵的范数

在本文中,基于组合方法和RFMLR-循环矩阵的结构,我们研究了涉及指数形式和三角函数的RFMLR-循环矩阵的谱范数。首先,我们给出指数形式和三角函数的一些性质。此外,我们通过一些巧妙的代数方法研究了 Frobenius 范数,即涉及指数形式和三角函数的 RFMLR 循环矩阵的谱范数的下界和上限,然后我们获得了新的改进结果。
更新日期:2021-06-17
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