| 张仕光.线性系统的预条件GAOR迭代法[J].井冈山大学自然版,2013,(1):17-20 |
| 线性系统的预条件GAOR迭代法 |
| PRECONDITIONED GAOR ITERATIVE METHOD FOR LINEAR SYSTEMS |
| |
| DOI： |
| 中文关键词: GAOR迭代法 AOR迭代法 预条件子 谱半径 |
| 英文关键词: GAOR iterative method AOR iterative method preconditioner spectral radius |
| 基金项目:河北省高等学校科学研究计划项目(Z2010188) |
|
| 摘要点击次数: 10728 |
| 全文下载次数: 0 |
| 中文摘要: |
| 解决线性系统Ax=b时,给出预条件子I＋Sα的GAOR迭代法,对相应的预条件GAOR迭代法和基本GAOR迭代法的收敛速度进行了比较,得到了比较定理。最后给出数值例子验证了所得到的结论,推广了文[1]的相应结果。 |
| 英文摘要: |
| We propose a preconditioned GAOR iterative method with a preconditioner Pα=Ⅰ＋Sα.T in solving the linear system Ax=b.The convergence speed in the proposed GAOR iterative method and the basic GAOR iterative method are compared.The comparison conclusion is also derived.Finally,a numerical example is given to illustrate the results which promote the literature[1] of the corresponding results. |
|
查看全文
查看/发表评论 下载PDF阅读器 |
| 关闭 |
