| 多项式预条件求解一类矩阵方程 |
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| 引用本文： | 周富照,张艳丽. 多项式预条件求解一类矩阵方程[J]. 重庆理工大学学报(自然科学版), 2011, 0(3) |
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| 作者姓名： | 周富照 张艳丽 |
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| 作者单位： | 长沙理工大学数学与计算科学学院; |
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| 基金项目： | 国家自然科学基金资助项目(10671026) |
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| 摘 要： | 研究了求解一类矩阵方程的多项式预条件方法.首先利用了一次插值多项式构造预条件矩阵;其次,提出了求解的新算法———预条件的正交投影迭代法,并说明了这种方法的有效性和可行性;最后并给出了数值实例。
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| 关 键 词： | 矩阵方程 多项式 预条件 正交投影迭代法 |
Solving for a Class of Matrix Equation by Polynomial Preconditioning |
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| ZHOU Fu-zhao,ZHANG Yan-li. Solving for a Class of Matrix Equation by Polynomial Preconditioning[J]. Journal of Chongqing University of Technology(Natural Science), 2011, 0(3) |
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| Authors: | ZHOU Fu-zhao ZHANG Yan-li |
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| Affiliation: | ZHOU Fu-zhao,ZHANG Yan-li(College of Mathematics and Computing Science,Changsha University of Science and Technology,Changsha 410076,China) |
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| Abstract: | A polynomial preconditioning technique for a class of matrix equation was discussed.First,the precondition matrix was constructed by means of an interpolation polynomial.Then,the new orthogonal projection iteration method of algorithm-preconditioning is presented,and the effectiveness and feasibility of this new method were illustrated.Finally,the numerical experiments were provided. |
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| Keywords: | matrix equation polynomial preconditioning technique orthogonal projection iteration method |
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