On the matrix $pth$ root functions and generalized Fibonacci sequences
Classical Analysis and ODEs
2017-10-25 v1
Abstract
This study is devoted to the polynomial representation of the matrix 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 th roots. Special cases and illustrative numerical examples are given.
Cite
@article{arxiv.1710.08759,
title = {On the matrix $pth$ root functions and generalized Fibonacci sequences},
author = {Rajae Ben Taher and Youness El Khatabi and Mustapha Rachidi},
journal= {arXiv preprint arXiv:1710.08759},
year = {2017}
}