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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Sinan Karakaya
Halim Özdemır
Ahmet Yaşar Özban
Annales Mathematicae Silesianae
Sakarya University
Bülent Ecevit University
Çankırı Karatekin University
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Karakaya et al. (Thu,) studied this question.
www.synapsesocial.com/papers/69994c80873532290d021024 — DOI: https://doi.org/10.2478/amsil-2026-0002