On the Norms of RFMLR-Circulant Matrices with the Exponential and Trigonometric Functions | Zendy

Baijuan Shi | Zendy

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On the Norms of RFMLR-Circulant Matrices with the Exponential and Trigonometric Functions

Author(s) -

Baijuan Shi

Publication year - 2021

Publication title -

journal of mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.252

H-Index - 13

eISSN - 2314-4785

pISSN - 2314-4629

DOI - 10.1155/2021/2079104

Subject(s) - circulant matrix , mathematics , trigonometry , exponential function , trigonometric substitution , trigonometric functions , differentiation of trigonometric functions , pure mathematics , proofs of trigonometric identities , algebra over a field , exponential polynomial , combinatorics , mathematical analysis , geometry , polynomial , linear interpolation , bicubic interpolation

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.

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