Abstract
The generalized inexact accelerated overrelaxation (GIAOR) method was presented by Bai, Parlett and Wang (Numer. Math. 102(2005)1-38) for solving the augmented system of linear equations. In this paper, a product-type generalized block AOR (PGBAOR) method is proposed, which is a two-step generalization of the GIAOR method. Both convergence and semi-convergence of the PGBAOR method are proved for the nonsingular and the singular augmented linear systems.
| Original language | English |
|---|---|
| Pages (from-to) | 797-809 |
| Number of pages | 13 |
| Journal | Numerical Algebra, Control and Optimization |
| Volume | 2 |
| Issue number | 4 |
| DOIs | |
| State | Published - Nov 2012 |
Keywords
- Augmented linear system
- Block AOR method
- Convergence
- Semiconvergence