On the spectral norms of some circulant matrices with the trigonometric functions

Abstract

Abstract In this paper, we use the properties of an r-circulant matrix and a geometric circulant matrix to study the spectral norms of the r-circulant matrix and the geometric circulant matrix involving trigonometric functions by some algebra methods.

Keywords

• Geometric circulant matrix
• r-circulant matrix
• Trigonometric functions
• Spectral norms
• Euclidean norms