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arXiv · 1710.08759

On the matrix $pth$ root functions and generalized Fibonacci sequences

Rajae Ben Taher·Youness El Khatabi·Mustapha Rachidi
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Abstract

This study is devoted to the polynomial representation of the matrix $p$th root functions. The Fibonacci-H\"orner decomposition of the matrix powers and some techniques arisen from properties of generalized Fibonacci sequences, notably the Binet formula, serves as a triggering factor to provide explicit formulas for the matrix $p$th roots. Special cases and illustrative numerical examples are given.

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Rajae Ben Taher, Youness El Khatabi, Mustapha Rachidi. 2017-10-06. On the matrix $pth$ root functions and generalized Fibonacci sequences. https://arxiv.org/abs/1710.08759

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