On the Norms of RFMLR-Circulant Matrices with the Exponential and Trigonometric Functions. (17th June 2021)

• Record Type: Journal Article
• Authors: Shi, Baijuan
• Other Names: Shabbir Ghulam Academic Editor.
• Is Part Of: Journal of mathematics. Volume 2021(2021)
• Publication Date: 2021-06-17
• Subjects: Mathematics -- Periodicals; Mathematics; Periodicals; 510
• DOI: 10.1155/2021/2079104
• Languages: English
• ISSNs: 2314-4629

Abstract

Abstract : 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.