| A MODIFIED GAUSS-SEIDEL ITERATION FOR LINEAR INTERVAL EQUATIONS |
| |
| 作者姓名： | 周如海 |
| |
| 作者单位： | Department of |
| |
| 摘 要： | In order to solve linear interval equations Ax=b. the interval Gauss-Seidel iteration is applied to a modified equations A'x = b', where A' is obtained by eliminating all elements in the first upper codiagonal part of A. It is shown that this modified Gauss-Seidel iteration converges when the usual Gauss-Seidel iteration converges, and the modified Gauss-Seidel iteration always has a smaller convergence factor. The converse is not true. It is also pointed out that the modified Gauss-Seidel iteration can obtain a belter result comparing with the usual Gauss-Seidel iteration in some cases. Several examples confirmed these conclusions.
|
A MODIFIED GAUSS-SEIDEL ITERATION FOR LINEAR INTERVAL EQUATIONS |
| |
| Zhou Ru-hai.A MODIFIED GAUSS-SEIDEL ITERATION FOR LINEAR INTERVAL EQUATIONS[J].Numerical Mathematics A Journal of Chinese Universities English Series,1993(2). |
| |
| Authors: | Zhou Ru-hai |
| |
| Institution: | Zhou Ru-hai Department of Mathematics,Nanjing University,Nanjing 210008,PRC. |
| |
| Abstract: | In order to solve linear interval equations Ax=b. the interval Gauss-Seidel iteration is applied to a modified equations A'x = b', where A' is obtained by eliminating all elements in the first upper codiagonal part of A. It is shown that this modified Gauss-Seidel iteration converges when the usual Gauss-Seidel iteration converges, and the modified Gauss-Seidel iteration always has a smaller convergence factor. The converse is not true. It is also pointed out that the modified Gauss-Seidel iteration can obtain a belter result comparing with the usual Gauss-Seidel iteration in some cases. Several examples confirmed these conclusions. |
| |
| Keywords: | Linear interval equations Gauss-Seitlel iteration |
| 本文献已被 CNKI 等数据库收录！ |
