| 两类双结构矩阵的标准型及其应用 |
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| 引用本文： | 余多,刘新国.两类双结构矩阵的标准型及其应用[J].中国海洋大学学报(自然科学版),2007,37(1):47-52. |
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| 作者姓名： | 余多 刘新国 |
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| 作者单位： | 中国海洋大学数学系,山东,青岛,266071 |
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| 摘 要： | 给出2类双结构矩阵的标准型。作为应用,还利用新得出的标准型对这2类双结构矩阵特征值问题发展了结构算法,其中对第一类双结构矩阵特征值问题发展了只用实运算的结构算法。
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| 关 键 词： | 结构矩阵 强稳定性 结构算法 向后误差分析 |
| 文章编号： | 1672-5174(2007)01-047-06 |
| 修稿时间： | 2005-07-15 |
Canonical Forms for Two Kinds of Doubly Structured Matrices and Their Applications |
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| YU Duo,LIU Xin-Guo.Canonical Forms for Two Kinds of Doubly Structured Matrices and Their Applications[J].Periodical of Ocean University of China,2007,37(1):47-52. |
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| Authors: | YU Duo LIU Xin-Guo |
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| Institution: | Department of Mathematics, Ocean University of China, Qingdao 266071, China |
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| Abstract: | Canonical forms for 2 kinds of doubly structured matrices are presented in this paper.As one of the applications,structure-preserving algorithms for the eigenvalue problems of those 2 kinds of doubly structured matrices are developed by the exploitation of the newly derived canonical forms,in which algorithms using real operations only are developed for the first kind of doubly structured matrix. |
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| Keywords: | structured matrices strong stability structurepreserving algorithm backward error analysis |
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