| 一种多项式预处理算法 |
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| 引用本文： | 刘播,刘凤楠.一种多项式预处理算法[J].吉林大学学报(理学版),2012,50(1):11-14. |
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| 作者姓名： | 刘播 刘凤楠 |
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| 作者单位： | 吉林大学 数学学院, 长春 130012 |
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| 基金项目： | 国家自然科学基金(批准号:J1030101);吉林省自然科学基金(批准号:201115044) |
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| 摘 要： | 基于二次函数的性质, 针对对称正定线性方程组, 提出一种多次多项式预处理算法, 并证明了该算法能有效改善条件数, 提高运算效率. 在此基础上, 设计一种求方程组近似解的方法, 数值实验结果表明了算法的有效性.
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| 关 键 词： | 预处理 条件数 多项式预处理 |
| 收稿时间： | 2011-07-15 |
A Method about Polynomial Preconditioning Technique |
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| LIU Bo,LIU Feng-nan.A Method about Polynomial Preconditioning Technique[J].Journal of Jilin University: Sci Ed,2012,50(1):11-14. |
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| Authors: | LIU Bo LIU Feng-nan |
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| Institution: | College of Mathematics, Jilin University, Changchun 130012, China |
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| Abstract: | A method of multiple polynomial preconditioning technique for positive definite symmetric linear equations was proposed based on the nature of the quadratic function.It was proved that the method can make condition number better so as to improve operation efficiency.On the basis,a method of approximate solution of equations was designed,and the theoretical results and numerical results show the effectiveness of the method. |
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| Keywords: | preconditioning technique condition number polynomial preconditioning technique |
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