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Sylvester与Lyapunov方程向后误差分析 被引量：3

BACKARD ERROR ANALYSIS OF THE MATRIX EQUATIONS FOR SYLVESTER AND LYAPUNOV
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摘要 利用矩阵Kronecker积的性质,研究Sylvester矩阵方程AX+YB=C与Lyapunov矩阵方程A^TX+XA=-Q(Q>0)的向后误差,获得了这两类矩阵方程向后误差η((?),(?))与η((?))的精确表达式及其更易计算的上下界.这些结果是对有关文献相应结果的改进与补充. The normwise backward errors of the approximate solutions to the Sylvester equation AX ＋ YB = C and Lyapunov equation A^TX ＋ XA = -Q, （Q 〉 0） are evaluated, and upper and lower bounds are also obtained. These results improve the existing results.
作者 杨兴东 黄卫红
机构地区 南京信息工程大学数学系
出处 《系统科学与数学》 CSCD 北大核心 2008年第5期524-534,共11页 Journal of Systems Science and Mathematical Sciences
基金 江苏省高校自然科学基础研究项目(07KJD110127) 南京信息工程大学科研基金(Y630).
关键词 SYLVESTER方程 LYAPUNOV方程 向后扰动 KRONECKER积 Sylvester equation, Lyapunov equation, backward perturbation, Kronecker product.
分类号 O241.6 [理学—计算数学]
  • 相关文献

参考文献12

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二级参考文献10

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共引文献54

同被引文献18

  • 1邓远北,胡锡炎.一类广义Sylvester方程的反对称最小二乘解及其最佳逼近[J].系统科学与数学,2004,24(3):382-388. 被引量：6
  • 2高遵海,陈绵云.循环矩阵与可控性分析[J].河南科学,2005,23(2):165-168. 被引量：4
  • 3陈东彦,侯玲.摄动离散矩阵Lyapunov方程解的估计[J].控制理论与应用,2006,23(5):830-832. 被引量：5
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引证文献3

二级引证文献5

系统科学与数学
2008年 第5期

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