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广义逆A_(T,S)^(2)在谱范数下的扰动界

Perturbation Bounds for Generalized Inverse A_(T,S)^(2) under Spectral Norm
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摘要 利用广义逆A(2)T,S与Moore-Penrose逆的关系,给出广义逆A(2)T,S在谱范数下的扰动界,推广了广义MoorePenrose逆在谱范数下的一些结果. The perturbation bounds of the generalized inverse A(2)T,S are obtained under the spectral norm by using the relation A(2)T,S and Moore-Penrose,which extends some recent results of generalized inverse Moore-Penrose under spectral norm.
作者 杨晓英 刘新
出处 《北华大学学报(自然科学版)》 CAS 2014年第1期28-30,共3页 Journal of Beihua University(Natural Science)
基金 广元市科学技术和知识产权局科技计划项目(GYST20122733) 四川信息职业技术学院自然科学基金项目(2012C04)
关键词 谱范数 广义逆 扰动界 spectral norm generalized inverse perturbation bound
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参考文献7

  • 1Wang S F,Zheng B,Xiong Z P. The Condition Numbers for Weighted Moore-Penrose Inverse and Weighted Linear Least Squares Problem[J].Applied Mathematics and Computation,2009.197-205.
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  • 3Zhang N M,Wei Y M. Perturbation Bounds for the Generalized Inverses with Application to Constrained Linear Systems[J].Applied Mathematics and Computation,2003.63-78.
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  • 6杨晓英,朱清溢,刘新.广义逆A_(T,S)^((2))的扰动界[J].北华大学学报(自然科学版),2013,14(2):146-149. 被引量:1
  • 7Liu X J,Qin Y H,Yu Y M. Perturbation Bounds for the Generalized Inverse with Respect to the Frobenius Norm[J].Applied Mathematics and Computation,2011.4595-4604.

二级参考文献7

  • 1Cai L X, Xu W W, LI W. Additive and Multiplicative Perturbation Bounds for the Moore-Penrose Inverse [ J ]. Linear Algebra and Its Applications ,2011,434:480-489.
  • 2Meng L S,Zheng B. The Optimal Perturbation Bounds of the Moore-Penrose Inverse Under the Frobenius Norm [ J ]. Linear Algebra and Its Applications,2010,432:956-963.
  • 3Xu W W, Cai L X,Li W. The Optimal Perturbation Bounds for the Weighted Moore-Penrose Inverse [ J ]. Electronic Journal of Linear Algebra,2011,22:521-538.
  • 4Liu X J, Qin Y H, Yu Y M. Perturbation Bounds for the Generalized Inverse A^(2)T,S with Respect to the Frobenius Norm [ J ].Applied Mathematics and Computation ,2011,218:4595-4604.
  • 5Zhang N M,Wei Y M. Perturbation Bounds for the Generalized Inverses A^(2)T,S with Application to Constrained Linear System [ J ].Applied Mathematics and Computation ,2003,142:63-78.
  • 6Yimin Wei, Hebing Wu. On the Perturbation and Subpmper Splittings for the Generalized Inverse A^(2)T,S of Rectangular Matrix A [ J ]. Journal of Computational and Applied Mathematics,2001,137:317-329.
  • 7Liu G, Lu S Q, Chen J P,et al. A Note on Condition Numbers for Generalized Inverse A^(2)T,S and Constrained Linear Systems [ J ].Applied Mathematics and Computation,2010,217:3199-3206.

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