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

页码：177 / 207

页数：31

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