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用广义逆刻画斜幂等阵的性质 被引量：2

The property of the srew-idempotent mareices given by using the gengeralized inverse
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摘要 利用广义Schur补D-CA-B的最小秩给出斜幂等矩阵的一些性质. In this paper, the properties of the srew-idempotent matrix are presented by using the minimal rank of the eomplement Schur.
作者 陈孝娟 张伟 郭文彬
机构地区 聊城大学数学科学学院 新兴中学
出处 《商丘师范学院学报》 CAS 2008年第9期25-27,共3页 Journal of Shangqiu Normal University
基金 国家自然科学基金(10771073)资助项目
关键词 斜幂等阵 性质 最小秩 广义逆 SCHUR补 srew-idempotent matrix property minimal rank generalized inverse Schur complement
分类号 O151.21 [理学—基础数学]
  • 相关文献

参考文献5

  • 1Ben-Israel A, Greville T N E. Generalized Inverses:Theory and Applications [ M ]. John Wiley & Sons. , New York, 1974.
  • 2Marsaglia G, Styan G P. Equalities and inequalities for ranks of matrices [ J ]. linear and multilinear Algebra, 1974,2 : 269 - 292.
  • 3Tian Yongge. Rank equalities for idempotent and involutory matrices[ J], Linear Algebra Appl. ,2001,335:101 - 117.
  • 4Tian Yongge. Upper and lower bounds for ranks of matrix expressions using generalized inverses [ J ]. Linear Algebra Appl. , 2002,355 : 187 - 214.
  • 5张禾秧,郝炳新.高等代数[M].北京:高等教育出版社,1998.

同被引文献20

  • 1Yongge Tian. Rank equalities for idempotent and involutory matrices[J]. Linear Algebra and Applications. 2001,335:101-117.
  • 2Yongge Tian. Rank equalities for idempotent and involutory matrices with applicatinns[J]. Journal of Computational and Applied Mathematics. 2006,191 : 77- 97.
  • 3Mikhail A. Chebotar, Wen-Fong Ke,Pjek-Hwee Lee, and Ruibin Zhang. On Maps Preserving Zero Jordan Products[J]. Monatsh. Math. 2006,149,91-101.
  • 4Hwa-Long Gau, Chih-Jen Wang and Ngai-Ching Wong. Invertibility and Fredholmness of linear combinations of quadratic, k-potent and nilpotent operators[J]. Operators and Matrices. 2008,2(2):193-199.
  • 5Y Tian, G P H Styan. Rank Equalities for Idempotent and Involutary Matrices [ J ]. Linear Algebra and Its Applications, 2001, 335 : 101-117.
  • 6Mikhail A Chebotar, Wen-Fong Ke, Pjek-Hwee Lee, et al. On Maps Preserving Zero Jordan Products [ J ]. Monatsh Math, 2006, 149:91-101.
  • 7Hwa-Long Gau, Chih-Jen Wang, Ngai-Ching Wong. Invertibility and Fredholmness of linear Combinations of Quadratic, K-potent and Nilpotent Operators [ J ]. Operators and Matrices, 2008,2 ( 2 ) : 193-199.
  • 8Oskar Maria Baksalary,Roger A Horn, Gotz Trenkler. Problem 41-13: Range Additivity of A and A^* [ J]. IMAGE 41 :The Bulletin of the International Linear Algebra Society ,2008,44.
  • 9Meixiang Chen, Zhongpeng Yang. Rank Identities of Commutator and Jordan Product of Scalar Idempotent Matrices Independently of Coefficients[ C ]//Chengdu:Proceedings of the Sixth International Conference of Matrix and Operators,2011 : 273 -276.
  • 10J Groβ, G Trenkler. Nonsingularity of the Difference of Two Oblique Projectors [ J ]. SIAM J Matrix Anal Appl, 1999,21 (2) :90- 395.

引证文献2

二级引证文献7

商丘师范学院学报
2008年 第9期

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