On the Norms of Symmetric r-Circulant and Symmetric Geometric Circulant Matrices with the Hyperharmonic Fibonacci Numbers

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Published: Apr 7, 2022
Keywords:
Symmetric r-circulant matrix Symmetric geometric circulant matrix Hyperharmonic Fi bonacci number Matrix norm

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Archara Pacheenburawana
Department of Mathematics and Statistics, Faculty of Science and Technology, Thammasat University, Pathum Thani 12120
Chanyanuch Ratchasri
Department of Mathematics and Statistics, Faculty of Science and Technology, Thammasat University, Pathum Thani 12120
Sukumal Wannadit
Department of Mathematics and Statistics, Faculty of Science and Technology, Thammasat University, Pathum Thani 12120
Wimonsiri Taveepreeda
Department of Mathematics and Statistics, Faculty of Science and Technology, Thammasat University, Pathum Thani 12120

Abstract

This research objective is to find upper and lower bounds for the spectral norms, 1-norm, and ∞-norm of symmetric r-circulant and symmetric geometric circulant matrices with the hyperharmonic Fibonacci numbers. Furthermore, some examples and numerical results for demonstrating the validity of the hypotheses of our results are demonstrated.

Article Details

Issue
Vol.30 No.2 (March - April 2022)
Section
Physical Sciences