Algebra of generalized $(k,n)$-Fibonacci Toeplitz and Hankel matrices

Kalika Prasad; Munesh  Kumari; Hrishikesh Mahato

doi:10.5269/bspm.68455

Kalika Prasad Central University of Jharkhand, India https://orcid.org/0000-0002-3653-5854
Munesh Kumari Central University of Jharkhand, India https://orcid.org/0000-0002-6541-0284
Hrishikesh Mahato Central University of Jharkhand

Résumé

The aim of this paper is to investigate the generalized $(k,n)$-Fibonacci Toeplitz and Hankel matrices formed with the entries of the generalized Fibonacci sequence of order $k$. We obtain the determinant, trace, inverse, spread and some algebraic properties for these matrices in closed form. Moreover, we obtain the $||.||_1, ||.||_\infty$, Euclidean norm and bounds (both lower and upper) for the spectral norm.

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Bibliographies de l'auteur

Kalika Prasad, Central University of Jharkhand, India

Senior Research Fellow, Department of Mathematics,

Munesh Kumari, Central University of Jharkhand, India

Senior Research Fellow, Department of Mathematics,

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