Convergent Powers of a Matrix with Applications to Iterative Methods for Singular Linear Systems
β Scribed by Meyer, Jr., Carl D.; Plemmons, R. J.
- Book ID
- 118182589
- Publisher
- Society for Industrial and Applied Mathematics
- Year
- 1977
- Tongue
- English
- Weight
- 536 KB
- Volume
- 14
- Category
- Article
- ISSN
- 0036-1429
- DOI
- 10.1137/0714047
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
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
## 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