期刊文献+

反对称矩阵及其平方矩阵的偏序

The Partial Ordering of Antisymmetric Matrices and Theirs Squares
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摘要 讨论反对称矩阵及其平方矩阵偏序之间的关系,推广关于(半)正定矩阵的相应结果. The relation between the star partial ordering of the antisymmetric matrices and its squares is discussed. The related results of the definite positive matrices are extended.
作者 刘晓冀
出处 《曲阜师范大学学报(自然科学版)》 CAS 2008年第1期29-32,共4页 Journal of Qufu Normal University(Natural Science)
基金 广西科学基金资助项目(0575032 0640016) 广西教育厅科研项目(桂教科研[2005]47号) 广西高校百名中青年学科带头人资助计划 广西民族大学重大科研项目
关键词 反对称矩阵 奇异值分解 *-序 减序 antisymmetric matrix singular value decomposition star-partial ordering subtract partialordering
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参考文献7

  • 1Drazin M P.Natural structures on semigroup with involution[J].Bull Math Soc,1978,84:139-141.
  • 2Baksalary J K,Pukesheim F.On the Lower,minus and star partial ordering of nonnegative definite matrices and their squares[J],Linear Algebra and its Application,1991,151:135-141.
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  • 5刘晓冀.四元数矩阵及其平方矩阵的左(右)-*序[J].曲阜师范大学学报(自然科学版),2006,32(4):6-8. 被引量:1
  • 6刘晓冀.矩阵的加权广义逆与加权左(右)*序[J].曲阜师范大学学报(自然科学版),2006,32(2):31-35. 被引量:2
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二级参考文献22

  • 1庄瓦金.范畴中态射集减序的刻划[J].数学学报(中文版),1994,37(2):172-179. 被引量:12
  • 2刘晓冀.关于态射广义Moore-Penrose逆的倒换顺序律[J].曲阜师范大学学报(自然科学版),2005,31(2):45-47. 被引量:1
  • 3刘晓冀.矩阵的加权广义逆与加权左(右)*序[J].曲阜师范大学学报(自然科学版),2006,32(2):31-35. 被引量:2
  • 4庄瓦金.四元数矩阵的加正定权的Moore—Penrose型广义逆的显公式[J].数学的实践与认识,1988,(3):68-74.
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  • 9Baksalary J K,Pakelsheim F.characterizations of unbiased estimator in the general Gauss-Markov model with the use of matrix partial ordering[J].Linear Algebra and its Application,1990,127:363-370.
  • 10Wang Guorong,Wei yimin,Qiao Sanzheng.Generalized Inverse:Theory and Computations[M].Beijing:Science Press,2004.

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