[1]杨兴东,丁三芹,刘诗卉,等.对称三对角Toeplitz矩阵的条件数估计[J].南京师范大学学报(自然科学版),2017,40(02):1.[doi:10.3969/j.issn.1001-4616.2017.02.001]
　Yang Xingdong,Ding Sanqin,Liu Shihui,et al.The Estimate for the Condition Numbers of aSymmetry Tridiagonal Toeplitz Matrix[J].Journal of Nanjing Normal University(Natural Science Edition),2017,40(02):1.[doi:10.3969/j.issn.1001-4616.2017.02.001]
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对称三对角Toeplitz矩阵的条件数估计()
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《南京师范大学学报》（自然科学版）[ISSN:1001-4616/CN:32-1239/N]

卷:
第40卷
期数:
2017年02期
页码:
1
栏目:
·数学·
出版日期:
2017-06-29

文章信息/Info

Title:
The Estimate for the Condition Numbers of aSymmetry Tridiagonal Toeplitz Matrix
文章编号:
1001-4616(2017)02-0001-06
作者:
杨兴东; 丁三芹; 刘诗卉; 苏润青
南京信息工程大学数学与统计学院,江苏 南京 210044
Author(s):
Yang Xingdong; Ding Sanqin; Liu Shihui; Su Runqing
College of Mathematics and Statistics,Nanjing University of Information of Science and Technology,Nanjing 210044,China
关键词:
对称三对角Toeplitz矩阵; 条件数; 估计; 2-范数; F-范数
Keywords:
symmetry tridiagonal Toeplitz matrix; condition number; estimate; 2-norm; Frobenius norm
分类号:
O151.21
DOI:
10.3969/j.issn.1001-4616.2017.02.001
文献标志码:
A
摘要:
三对角Toeplitz矩阵在三次样条插值、三项差分方程、并行计算以及电信控制分析与热传导方程等学科有着重要的应用. 目前,关于三对角Toeplitz矩阵的研究在国内外十分活跃. 本文则研究对称三对角Toeplitz矩阵范数条件数,给出对称三对角Toeplitz矩阵的2-范数以及F-范数的估计式,同时给出数值例子.
Abstract:
In this paper,we studied the norm condition number of symmetry tridiagonal Toeplitz matrix. Then it gives the estimate for 2-norm and Frobenius norm of a symmetry tridiagonal Toeplitz matrix,as well as a numerical example. Tridiagonal Toeplitz matrix which possesses potential practical significance in other applied fields,for example,subjects of cubic spline interpolation,three differential equations,parallel computing,analysis of telecommunication control,heat conduction equationsand so on.

参考文献/References:

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备注/Memo

备注/Memo:
收稿日期:2016-05-16.
基金项目:国家自然科学青年基金(4096048)、江苏省青年科学基金(BK20130985).
通讯联系人:杨兴东,教授,研究方向:数值代数. E-mail:xdyangnuist@163.com
更新日期/Last Update: 2017-06-30