On the matrix pth root functions and generalized Fibonacci sequences

被引：8

作者：

Ben Taher, Rajae ^{[1
]}

El Khatabi, Youness ^{[1
]}

Rachidi, Mustapha ^{[1
]}

机构：

[1] Univ My Ismail, Fac Sci, Dept Math & Informat, Grp DEFA, BP 4010, Beni Mhamed 50050, Meknes, Morocco

来源：

JOURNAL OF INFORMATION & OPTIMIZATION SCIENCES | 2018年 / 39卷 / 07期

关键词：

Fibonacci-Horner decomposition; Binet formula; Principal matrix pth root;

D O I：

10.1080/02522667.2017.1367514

中图分类号：

G25 [图书馆学、图书馆事业]; G35 [情报学、情报工作];

学科分类号：

1205 ; 120501 ;

摘要：

This study is devoted to the polynomial representation of the matrix pth root functions. The Fibonacci-Horner 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 pth roots. Special cases and illustrative numerical examples are given.

引用

页码：1483 / 1504

页数：22

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