On powers, roots and Moore-Penrose inverses of matrices via generalized Fibonacci numbers

Sinan Karakaya; Halim Özdemir; Ahmet Yaşar Özban

Published: 2026-02-19

2025

On powers, roots and Moore-Penrose inverses of matrices via generalized Fibonacci numbers

Sinan Karakaya

, Halim Özdemir

, Ahmet Yaşar Özban

Abstract

The purpose of this work is to introduce some new results about the relations between powers, roots and Moore–Penrose inverses of square matrices satisfying a cubic matrix equation and the generalized Fibonacci numbers. The results can also be used for rectangular matrices. Moreover, we give some numerical examples to verify theoretical results.

Keywords:

generalized Fibonacci numbers , Generalized Lucas numbers , Moore-Penrose Inverse , Matrix roots

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Karakaya, S., Özdemir, H., & Özban, A. Y. (2026). On powers, roots and Moore-Penrose inverses of matrices via generalized Fibonacci numbers. Annales Mathematicae Silesianae. Retrieved from https://journals.us.edu.pl/index.php/AMSIL/article/view/20513

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2025
Published: 2025-11-02

ISSN: 0860-2107

eISSN: 2391-4238

10.2478/amsil

Publisher

University of Silesia Press

Licence CC

This work is licensed under a Creative Commons Attribution 4.0 International License.

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