On Powers, Roots and Moore–Penrose Inverses of Matrices Via Generalized Fibonacci Numbers

Sinan Karakaya; Halim Özdemir; Ahmet Yaşar Özban

doi:10.2478/amsil-2026-0002

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.

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On Powers, Roots and Moore–Penrose Inverses of Matrices Via Generalized Fibonacci Numbers

Abstract

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