| 关于内外分解和谱分解问题的解析计算 |
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| 引用本文： | 王伦,张卫东,刘永红.关于内外分解和谱分解问题的解析计算[J].上海交通大学学报,2007,41(6):889-893. |
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| 作者姓名： | 王伦 张卫东 刘永红 |
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| 作者单位： | 1. 上海交通大学,自动化系,上海,200240
2. 河北省电力研究院热控研究所,石家庄,050021 |
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| 基金项目： | 国家自然科学基金;上海市青年科技启明星计划;高等学校博士学科点专项科研项目;教育部跨世纪优秀人才培养计划 |
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| 摘 要： | 研究了内外分解和谱分解问题,并提出了新的计算方法.该方法的基本思想:矩阵的零极点分布与其逆矩阵的部分分式展开密切相关.通过应用复分析技术,可以得到上述两个问题的解析方程.实例表明,所提出算法与纯数字计算的方法相比,在计算上更为简便、高效.
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| 关 键 词： | 内外分解 谱分解 零点 零点方向 |
| 文章编号： | 1006-2467（2007）06-0889-05 |
| 收稿时间： | 2006-06-14 |
| 修稿时间： | 2006年6月14日 |
The Analytic Computation of Inner-Outer and Spectral Factorization Problems |
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| WANG Lun,ZHANG Wei-dong,LIU Yong-hong.The Analytic Computation of Inner-Outer and Spectral Factorization Problems[J].Journal of Shanghai Jiaotong University,2007,41(6):889-893. |
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| Authors: | WANG Lun ZHANG Wei-dong LIU Yong-hong |
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| Abstract: | The inner-outer and spectral factorization problems were studied and a new computation method to obtain an analytical formula for those two problems was proposed.The most prominent advantage of the proposed method lies in its intuitiveness and efficiency: all need to do in computation procedure is to find the open right half plane zeros of a system and their zero directions,the fact of which makes a sharp contrast to those numerical ones.The proposed method was illustrated by several numerical examples. |
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| Keywords: | inner-outer factorization spectral factorization zero zero direction |
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