| 精化的二次残量迭代法 |
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| 引用本文： | 贾仲孝,孙玉泉. 精化的二次残量迭代法[J]. 高等学校计算数学学报, 2004, 26(2): 146-155 |
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| 作者姓名： | 贾仲孝 孙玉泉 |
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| 作者单位： | 清华大学数学科学系,北京,100084;清华大学数学科学系,北京,100084 |
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| 基金项目： | 国家重点基础研究专项基金(1999032805) |
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| 摘 要： | According to the refined projection principle advocated by Jia[8], we improve the residual iteration method of quadratic eigenvalue problems and propose a refined residual iteration method. We study the restarting issue of the method and develop a practical algorithm. Preliminary numerical examples illustrate the efficiency of the method.
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| 关 键 词： | 特征值 精化投影 矩阵 多项式 二次残量迭代 |
A REFINED RESIDUAL ITERATION METHOD |
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| Jia Zhongxiao. A REFINED RESIDUAL ITERATION METHOD[J]. Numerical Mathematics A Journal of Chinese Universities, 2004, 26(2): 146-155 |
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| Authors: | Jia Zhongxiao |
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| Abstract: | According to the refined projection principle advocated by Jia[8], we improve the residual iteration method of quadratic eigenvalue problems and propose a refined residual iteration method. We study the restarting issue of the method and develop a practical algorithm. Preliminary numerical examples illustrate the efficiency of the method. |
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| Keywords: | refined projection residual iteration method refined residual itera- tion method Ritz value Ritz vector refined vector restart. |
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