(±1)-Invariant sequences and truncated Fibonacci sequences

被引：5

作者：

Choi, GS

Hwang, SG ^{[1
]}

Kim, IP

Shader, BL

机构：

[1] Kyungpook Natl Univ, Dept Math Educ, Taegu 702701, South Korea

[2] Univ Wyoming, Dept Math, Laramie, WY 82071 USA

来源：

LINEAR ALGEBRA AND ITS APPLICATIONS | 2005年 / 395卷

关键词：

invariant sequence; truncated Fibonacci sequence; truncated Lucas sequence;

D O I：

10.1016/j.laa.2004.08.018

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let P = [((i)(j))], (i, j = 0, 1, 2, . . .) and D=diag((- 1)(0), (-1)(1), (-1)(2), . . .). As a linear transformation of the infinite dimensional real vector space R-infinity = {(x(0), x(1), x(2), . . .)(T)\x(i) is an element of R for all i}, PD has only two eigenvalues 1, -1. In this paper, we find some matrices associated with P whose columns form bases for the eigenspaces for PD. We also introduce truncated Fibonacci sequences and truncated Lucas sequences and show that these sequences span the eigenspaces of PD. (C) 2004 Published by Elsevier Inc.

引用

页码：303 / 312

页数：10