|
|||||
|
|
The Kahan S.O.R. convergence bound for nonsingular and irreducible M-matrices |
||
| Authors: | M Neumann | |
| Institution: | Department of Mathematics The University of Nottingham Nottingham NG7 2RD, England | |
| Abstract: | Let A be a nonsingular M-matrix, and let π be a block partitioning of A such that the diagonal blocks are square. Denote by JAπ and ![/></figure><sup><em>A</em><sub>π</sub><sub>ω</sub></sup> the block Jacobi and the block S.O.R. iteration matrices arising from and associated with the partitioning π of <em>A</em>, respectively. In 5] Kahan showed that ρ (<figure class=](https://ars.els-cdn.com/content/image/1-s2.0-0024379581903049-fx1.gif) ![/></figure><sup><em>A</em><sub>π</sub><sub>ω</sub></sup><1 for all 0<ω<ω':=2/1+ρ(<em>J</em><sup><em>A</em><sub>π</sub></sup>)]. Under the assumption that <em>J</em><sup><em>A</em><sub>π</sub></sup> is irreducible we examine the question of when ρ(<figure class=](https://ars.els-cdn.com/content/image/1-s2.0-0024379581903049-fx2.gif)  | |
| Keywords: | ||
| 本文献已被 ScienceDirect 等数据库收录！ | ||