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The Estimate for the Condition Numbers of aSymmetry Tridiagonal Toeplitz Matrix(PDF)

《南京师大学报（自然科学版）》[ISSN:1001-4616/CN:32-1239/N]

Issue:
2017年02期
Page:
1-
Research Field:
·数学·
Publishing date:

Info

Title:
The Estimate for the Condition Numbers of aSymmetry Tridiagonal Toeplitz Matrix
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
Keywords:
symmetry tridiagonal Toeplitz matrix; condition number; estimate; 2-norm; Frobenius norm
PACS:
O151.21
DOI:
10.3969/j.issn.1001-4616.2017.02.001
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.

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Last Update: 2017-06-30