Decompositions of a matrix by means of its dual matrices with applications

被引：3

作者：

Kim, Ik-Pyo ^{[1
]}

Kraeuter, Arnold R. ^{[2
]}

机构：

[1] Daegu Univ, Dept Math Educ, Gyeongbuk 88453, South Korea

[2] Univ Leoben, Lehrstuhl Math & Stat, Dept Math & Informat Technol, Franz Josef Str 18, A-8700 Leoben, Austria

来源：

LINEAR ALGEBRA AND ITS APPLICATIONS | 2018年 / 537卷

关键词：

Dual sequence; Dual matrix; Vandermonde matrix; Hankel matrix; Toeplitz matrix; Lagrange interpolation polynomial; PASCAL MATRICES;

D O I：

10.1016/j.laa.2017.09.031

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We introduce the notion of dual matrices of an infinite matrix A, which are defined by the dual sequences of the rows of A and naturally connected to the Pascal matrix P = [((i)(j)) (i, j = 0, 1, 2, . . .). We present the Cholesky decomposition of the symmetric Pascal matrix by means of its dual matrix. Decompositions of a Vandermonde matrix are used to obtain variants of the Lagrange interpolation polynomial of degree <= n that passes through the n + 1 points (i, q(i)) for i = 0, 1, . . . , n. (C) 2017 Elsevier Inc. All rights reserved.

引用

页码：100 / 117

页数：18

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