| Hessenberg-上三角分解的Rice条件数 |
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| 引用本文： | 李新秀,聂小兵.Hessenberg-上三角分解的Rice条件数[J].南京邮电大学学报(自然科学版),2003,23(4):65-68. |
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| 作者姓名： | 李新秀 聂小兵 |
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| 作者单位： | 1. 南京邮电学院,应用数理系,江苏,南京,210003
2. 东南大学,数学系,江苏,南京,210096 |
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| 摘 要： | 运用Rice关于条件数的一般理论,采取一种统一的方式,在单参数扰动的情况下,定义了Hes senberg 上三角分解的条件数。利用解析展开和不动点定理求出了用Frobenius范数所定义的Rice条件数的具体表达式,所得结果与孙继广用另一种不同的方法得到的结果相同。
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| 关 键 词： | Rice条件数 Hessenberg上三角分解 可控 |
| 文章编号： | 1000-1972(2003)04-0065-04 |
| 修稿时间： | 2002年9月6日 |
The Rice Condition Number of Hessenberg-triangular Decompostion |
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| LI Xin-xiu,NIE Xiao-bing.The Rice Condition Number of Hessenberg-triangular Decompostion[J].Journal of Nanjing University of Posts and Telecommunications,2003,23(4):65-68. |
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| Authors: | LI Xin-xiu NIE Xiao-bing |
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| Institution: | LI Xin-xiu~1,NIE Xiao-bing~2 1.Department of Applied Mathematics and Physics,Nanjing University of Posts and Telecommunications,Nanjing 210003,China 2.Department of Mathematics,Southeast University,Nanjing 210096,China |
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| Abstract: | According to the geveric theory of conditional number by Rize,the conditional numbers are unifred defined for Hessenberg-triangular decomposition under the condition of single parameter disturbance.Explicit expression of Rize condition numbers defined with Frobenius norm is derived by use of analytic expansion and fixed point theorum.The obtained results are the same as the ones derived by J.G.Sun in a different way. |
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| Keywords: | Rice condition number Hessenberg-triangular form Controllabl system |
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