𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Monotone Convergence of Iterative Methods for Singular Linear Systems

✍ Scribed by Yongzhong Song

Book ID
110413759
Publisher
Springer Netherlands
Year
2002
Tongue
English
Weight
157 KB
Volume
42
Category
Article
ISSN
0006-3835

No coin nor oath required. For personal study only.

πŸ“œ SIMILAR VOLUMES

Semiconvergence of extrapolated iterativ
Semiconvergence of extrapolated iterative methods for singular linear systems
✍ Yongzhong Song πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 89 KB

In this paper, we discuss convergence of the extrapolated iterative methods for solving singular linear systems. A general principle of extrapolation is presented. The semiconvergence of an extrapolated method induced by a regular splitting and a nonnegative splitting is proved whenever the coe cien

On the convergence of general stationary
On the convergence of general stationary iterative methods for range-Hermitian singular linear systems
✍ Naimin Zhang; Yi-Min Wei πŸ“‚ Article πŸ“… 2010 πŸ› John Wiley and Sons 🌐 English βš– 142 KB πŸ‘ 1 views

## Abstract General stationary iterative methods with a singular matrix __M__ for solving range‐Hermitian singular linear systems are presented, some convergence conditions and the representation of the solution are also given. It can be verified that the general Ortega–Plemmons theorem and Keller

Convergence and quotient convergence of
Convergence and quotient convergence of iterative methods for solving singular linear equations with index one
✍ Lijing Lin; Yimin Wei; Naimin Zhang πŸ“‚ Article πŸ“… 2009 πŸ› Elsevier Science 🌐 English βš– 146 KB

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