| 一类Krylov子空间方法在求解Sylvester方程的应用 |
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| 引用本文： | 张晓东,黄光鑫.一类Krylov子空间方法在求解Sylvester方程的应用[J].四川理工学院学报(自然科学版),2012,25(4):89-92. |
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| 作者姓名： | 张晓东 黄光鑫 |
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| 作者单位： | 成都理工大学管理科学学院,成都,610059 |
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| 摘 要： | 提出了一种求解Sylvester方程AX+XB=EFT的块Krylov子空间方法。当矩阵A和B非常大,并且右侧的的秩很小时,给出如何求解精确低秩近似解。理论结果和数值实例证明了方法的有效性。
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| 关 键 词： | Krylov子空间 Sylvester方程 Arnoldi算法 |
Application of a Kind of Krylov Subspace Methods in Solving the Sylvester Equation |
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| ZHANG Xiao-dong,HUANG Guang-xin.Application of a Kind of Krylov Subspace Methods in Solving the Sylvester Equation[J].Journal of Sichuan University of Science & Engineering:Natural Science Editton,2012,25(4):89-92. |
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| Authors: | ZHANG Xiao-dong HUANG Guang-xin |
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| Affiliation: | (College of Management Sciences,Chengdu University of Technology,Chengdu 610059,China) |
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| Abstract: | Block Krylov subspace methods for solving the Sylvester matrix equationAX+XB=EFT is proposed.When both matrices A and B are large and the right-hand side matrix is of small rank,it is shown that how to extract low-rank approximations.Some theoretical results are given and numerical experiments show the effectiveness of these block methods. |
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| Keywords: | Krylov subspace Sylvester equations Arnoldi algorithm |
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