期刊文献+

分块三次幂等矩阵广义Schur补的性质 被引量:1

The Properties of Generalized Schur Complement for Partitioned Tripotent Matrix
下载PDF
导出
摘要 研究了复分块三次幂等矩阵P=(A B C D)∈Cm+n,m+n的广义Schur补三次幂等的充要条件,分析了当该复分块三次幂等矩阵2个非零可交换的三角块三次幂等矩阵的线性组合为三次幂等矩阵时其广义Schur补的性质。 The present paper is concerned with a necessary and sufficient condition for generalized Schur complement of a complex partitioned tripotent matrics P = (A B C D) ∈C m + n,m + n,and the property of Schur complement was discussed when a linear combination of two nonzero commuting triangle partitioned tripotent matrix is tripotent matrics
作者 杨晓英 刘新
出处 《重庆理工大学学报(自然科学)》 CAS 2012年第6期123-126,共4页 Journal of Chongqing University of Technology:Natural Science
关键词 三次幂等矩阵 广义SCHUR补 交换 tripotent matrix generalized Schur complement commuting combination
  • 相关文献

参考文献12

  • 1Jerzy K B,Oskar M B, Halim O. A note on linear combinations of commuting tripotent matrices [ J ]. Linear Alge- bra and its Applications,2004,388:45 -51.
  • 2Jerzy K B, Oskar M B, Tomasz S. Properties of Schur complements in partitioned idempotent matrices [ J ]. Linear Algebra and its Applications 2004,379:303 -318.
  • 3Ozdemir H, Sarduvan M, Yasar O A, et al. On idempotency and tripotency of linear combinations of two commuting tripotent matrices [ J ]. Applied Mathematics and Computation,2009,207 : 197 - 201.
  • 4Meyer C D. Matrix Analysis and Applied Linear Algebra [ M ]. Philadelphia: SIAM ,2000.
  • 5Rao C R, Mitra S K. Generalized Inverse of Matrices and Its Applications [ M ]. New York : Wiley, 1971.
  • 6Baksalary J K, Baksalary O M, George P H. Styan. Idempotency of linear combinations of an idempotent matrix and a tripotent matrix [ J ]. Linear Algebra and its Applications ,2002,354:21 - 34.
  • 7Jinhua Zhou, Guorong Wang. Block idempotent matrices and generalized Schur complement [ J ]. Applied Mathe- matics and Computation,2007,188:246- 256.
  • 8杨晓英,刘新.分块幂等矩阵广义Schur补的性质[J].云南师范大学学报(自然科学版),2009,29(6):18-21. 被引量:4
  • 9周立新.分块广义幂等矩阵的广义Schur补的一些性质[J].贺州学院学报,2011,27(2):129-131. 被引量:3
  • 10卜长江,李娜,孙艳玲.矩阵线性组合幂等性及立方幂等性的一些结论[J].哈尔滨工程大学学报,2009,30(12):1458-1460. 被引量:9

二级参考文献29

  • 1郑岩,黄荣怀,战晓苏,周春光.基于遗传算法的动态模糊聚类[J].北京邮电大学学报,2005,28(1):75-78. 被引量:22
  • 2董云影,张运杰,畅春玲.改进的遗传模糊聚类算法[J].模糊系统与数学,2005,19(2):128-133. 被引量:16
  • 3周金华,王国荣.广义Schur补与Khatri-Rao积(英文)[J].上海师范大学学报(自然科学版),2006,35(1):22-26. 被引量:2
  • 4张俊敏,成立花,李祚.幂等矩阵线性组合的可逆性[J].纯粹数学与应用数学,2007,23(2):231-234. 被引量:15
  • 5Jerzy K. Baksalary, Oskar Matia Baksalary, Tomasz Szulc. Properties of Schur complements in partitioned idempotent matrices [ J ]. Linear Algebra and its Applications 397 (2004) 303 - 318.
  • 6RAO C R, MITRA S K. Generalized inverse of matrices and its applications[ M]. New York: John Wiley, 1971:27-44.
  • 7SEBER G A F. Linear regression analysis[ M]. New York, John Wiley, 1977:203-224.
  • 8GRAYBILL F A. Introduction to matrices with applications in statistics[ M]. California: Wadsworth Publishing Company Inc, 1969:57-91.
  • 9BALDESSARI B. The distribution of a quadratic form of normal random variables[J]. Ann Math Statist, 1967, 38: 1700-1704.
  • 10BAKSALARY J K, BAKSALARY O M. Idempotency of linear combinations of two idempotent matrices [ J ]. Linear Algebra Appl, 2000, 321: 3-7.

共引文献18

同被引文献5

引证文献1

二级引证文献2

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部