Singular systems with index one arise in many applications, such as Markov chain modelling. In this paper, we use the group inverse to characterize the convergence and quotient convergence properties of stationary iterative schemes for solving consistent singular linear systems when the index of the
β¦ LIBER β¦
Convergence of General Nonstationary Iterative Methods for Solving Singular Linear Equations
β Scribed by Shi, Xinghua; Wei, Yimin; Zhang, Wen
- Book ID
- 118211978
- Publisher
- Society for Industrial and Applied Mathematics
- Year
- 2011
- Tongue
- English
- Weight
- 240 KB
- Volume
- 32
- Category
- Article
- ISSN
- 0895-4798
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## Abstract General stationary iterative methods with a singular matrix __M__ for solving rangeβHermitian singular linear systems are presented, some convergence conditions and the representation of the solution are also given. It can be verified that the general OrtegaβPlemmons theorem and Keller