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行(列)反对称矩阵的极分解及其广义逆 被引量：3

Polar Factorization and Generalized Inverse for Row(Column) Skew Symmetric Matrix
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摘要 考虑行(列)反对称矩阵的极分解和广义逆,给出了行(列)反对称矩阵的极分解和广义逆计算公式,并对行(列)反对称矩阵的极分解作了扰动分析.结果表明,所给方法既减少了计算量与存储量,又保证了数值精度. The author studied the polar factorization and generalized inverse of row （column） skew symmetric matrix, which leads tQ some new results. In addition, the formula of the polar factoriza-tion and grneraliaed inverse of row （Column） skew symmetric matrix were given, which makes calculation easier, and some perturbation bounds of polar factorization of row （column） skew symmetric matrix were also presented,tion bound
作者 袁晖坪
机构地区 重庆工商大学电子商务及供应链系统重庆市重点实验室、数学与统计学院
出处 《吉林大学学报（理学版）》 CAS CSCD 北大核心 2013年第1期15-20,共6页 Journal of Jilin University:Science Edition
基金 国家自然科学基金(批准号:11271388) 重庆市自然科学基金(批准号:CSTS2005BB0243) 电子商务及供应链系统重庆市重点实验室专项基金(批准号:2012ECSC0216)
关键词 行(列)反对称矩阵 极分解 广义逆 扰动界 row （column） skew symmetric matrix~ polar factorization~ generalized inverse perturba-
分类号 O151.21 [理学—基础数学]
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参考文献7

二级参考文献28

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共引文献91

同被引文献20

  • 1黎稳,孙伟伟.组合扰动界:Ⅱ．极分解[J].中国科学（A辑）,2007,37(6):701-708. 被引量：11
  • 2CHEN Xiaoshan, L1 Wen, SUN Weiwei. Some New Perturbation Bounds for the Generalized Polar Decomposition [J]. BIT Numer Math, 2004, 44(2): 237 244.
  • 3LI Well, SUN Weiwei. New Perturbation Bounds for Unitary Polar Factors J. SIAM J Matrix Anal Appl, 2003, 25(2): 362 372.
  • 4YANG Hu, LI Hanyu. Weighted Polar Decomposition and WGL Partial Ordering of Rectangular Complex Matrices J. SIAM J Matrix Anal Appl, 2008, 30(2): 898 924.
  • 5LI Rencang. Relative Perturbation Bounds for Positive Polar Factors of Graded Matrices [J]. SIAM J Matrix Anal Appl, 2005, 27(2): 424 433.
  • 6CHEN Xiaoshan,II Wen,SUN Wciwci. Some New Perturbation Bounds for the Generalized Polar Decomposition [J]. BIT Numcr Math,2004,4 4(2) :237-24 4.
  • 7II Wen,SUN Wciwci. New Perturbation Bounds for Unitary Polar Factors [J]. SIAM J Matrix Anal Appl,2003,25(2) :362-372.
  • 8Chaitin-Chatclin F,Gratton S. One the Condition Numbers Associated with the Polar Factorization of a Matrix [J]. Numcr Linear Algebra Appl,2000,7(5): 337-354.
  • 9YANG Hu,LI Hanyu. Weighted Polar Decomposition and WGL Partial Ordering of Rectangular Complex Matrices [J]. SIAM J Matrix Anal Appl,2008,30(2): 898-924.
  • 10LI Rcncang. Relative Perturbation Bounds for Positive Polar Factors of Graded Matrices [J]. SIAM J Matrix Anal Appl,2006,27(2) :424-433.

引证文献3

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吉林大学学报（理学版）
2013年 第1期

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