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

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Archara Pacheenburawana
Chanyanuch Ratchasri
Sukumal Wannadit
Wimonsiri Taveepreeda

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.

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Physical Sciences