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广义(R,S)-对称矩阵反问题的最小二乘解

The least-squares solutions of inverse problems for generalized(R,S)-symmetric matrices
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摘要 讨论了广义(R,S)-对称矩阵反问题的最小二乘解,得到了解存在的充要条件及通式,并研究了最佳逼近问题,给出了解的具体表达式。 The least-squares solutions of inverse problems for generalized ( R, S)- symmetric matrices were discussed. The necessary and sufficient conditions were presented, and the general form was given.The optimal approximation was discussed, and the precise expression of the solution was provided. n
出处 《山东大学学报(理学版)》 CAS CSCD 北大核心 2008年第2期48-51,57,共5页 Journal of Shandong University(Natural Science)
基金 国家自然科学基金资助项目(10771073)
关键词 广义(R S)-对称矩阵 最小二乘解 最佳逼近 generalized (R, S)-symmetric matrices least-squares solution the optimal approximatio
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参考文献3

  • 1胡锡炎,张磊.一类矩阵问题的最小二乘逼近解[J].湖南大学学报,1990,17(2):98-102. 被引量:24
  • 2HUANG Guang-xin, YIN Feng. Matrix inverse problem and its optimal approximation problem for R-symmetric matrices[J]. Applied Mathematics and Computation, 2007, 189:482-489.
  • 3TRENCH W F. Minimization problems for ( R, S ) - symmetric and ( R, S )-skew symmetric matrices[J].Linear Algebra Appl, 2004, 389:23-31.

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