Convergence of TTS Iterative Method for Non-Hermitian Positive Definite Linear Systems | Zendy

Chengyi Zhang | Zendy; Yu-Qian Yang | Zendy; Qiang Sun | Zendy

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Convergence of TTS Iterative Method for Non-Hermitian Positive Definite Linear Systems

Author(s) -

Chengyi Zhang,

Yu-Qian Yang,

Qiang Sun

Publication year - 2014

Publication title -

mathematical problems in engineering

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.262

H-Index - 62

eISSN - 1026-7077

pISSN - 1024-123X

DOI - 10.1155/2014/328901

Subject(s) - convergence (economics) , positive definite matrix , hermitian matrix , mathematics , iterative method , linear system , mathematical optimization , mathematical analysis , pure mathematics , physics , eigenvalues and eigenvectors , quantum mechanics , economics , economic growth

The TTS iterative method is proposed to solve non-Hermitian positive definite linear systems and some convergence conditions are presented. Subsequently, these convergence conditions are applied to the ALUS method proposed by Xiang et al. in 2012 and comparison of some convergence theorems is made. Furthermore, an example is given to demonstrate the results obtained in this paper

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