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Perturbation Bounds and Condition Numbers for a Complex Indefinite Linear Algebraic System

Part of: Numerical linear algebra Nonlinear algebraic or transcendental equations Numerical analysis: Ordinary differential equations

Published online by Cambridge University Press:  12 May 2016

Lei Zhu ,
Wei-Wei Xu  and
Xing-Dong Yang
Lei Zhu*
Affiliation:
College of Engineering, Nanjing Agricultural University, Nanjing 210031, P.R. China
Wei-Wei Xu
Affiliation:
School of Mathematics and Statistics, Nanjing University of Information Science and Technology, Nanjing 210044, P.R. China
Xing-Dong Yang
Affiliation:
School of Mathematics and Statistics, Nanjing University of Information Science and Technology, Nanjing 210044, P.R. China
*
*Corresponding author. Email address:zhulei@njau.edu.cn (L. Zhu)
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Abstract

We consider perturbation bounds and condition numbers for a complex indefinite linear algebraic system, which is of interest in science and engineering. Some existing results are improved, and illustrative numerical examples are provided.

Keywords

Complex indefinite linear algebraic systemperturbation boundscondition numbers

MSC classification

Secondary: 65F10: Iterative methods for linear systems 65F15: Eigenvalues, eigenvectors 65H10: Systems of equations 65L15: Eigenvalue problems
Type
Research Article
Information
East Asian Journal on Applied Mathematics , Volume 6 , Issue 2 , May 2016 , pp. 211 - 221
Copyright
Copyright © Global-Science Press 2016 

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