Functions and Jordan canonical forms of Riordan matrices

被引：2
|
作者：
Merlini, Donatella [1 ]
Nocentini, Massimo [1 ]
机构：
[1] Applicaz Univ Firenze, Dipartimento Stat, Informat, Viale Morgagni 65, I-50134 Florence, Italy
来源：
LINEAR ALGEBRA AND ITS APPLICATIONS | 2019年 / 565卷
关键词：
Riordan arrays; Matrices functions; Hermite interpolating polynomials; Jordan canonical forms;
D O I：
10.1016/j.laa.2018.12.011
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper collects results about Riordan arrays in the framework of matrix functions; actually, the following methodology applies to any square matrix m x m with exactly one eigen-value lambda of algebraic multiplicity m is an element of N. Generalized Lagrange bases are used to construct Hermite polynomials that interpolate a family of functions; moreover, we show a parallel application of such functions via Jordan canonical forms and case studies are given. (C) 2018 Elsevier Inc. All rights reserved.
引用
收藏
页码：177 / 207
页数：31
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