On the Norms of Geometric and Symmetric Geometric Circulant Matrices with the Exponential Function

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Published: Feb 28, 2023
Keywords:
Exponential function Geometric circulant matrix Symmetric geometric circulant matrix Matrix norm

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Archara Pacheenburawana
Department of Mathematics and Statistics, Faculty of Science and Technology, Thammasat University, Pathum Thani 12120
Jenjira Jankaew
Department of Mathematics and Statistics, Faculty of Science and Technology, Thammasat University, Pathum Thani 12120
Paniti Witchaivuttiwong
Department of Mathematics and Statistics, Faculty of Science and Technology, Thammasat University, Pathum Thani 12120
Natnaree Saedan
Department of Mathematics and Statistics, Faculty of Science and Technology, Thammasat University, Pathum Thani 12120

Abstract

In this research, we give the upper and lower bounds for the spectral norm of geometric and symmetric geometric circulant matrices with the exponential function, and we obtain 1-norm and ∞-norm for them. Furthermore, some numerical examples for demonstrating the validity of the hypotheses of our results are given.

Article Details

Issue
Vol.31 No.1 (January - February 2023)
Section
Physical Sciences