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

In this paper, based Foot Creams 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 Hot Dog Machines ingenious algebra methods, and then we obtain new refined results.