矩阵C=c_1A+c_2B的幂等性

Idempotency of matrix C=c_1A+c_2B

下载PDF

导出

摘要设A为幂等矩阵,B为l-幂等矩阵(即Bl=B)且AB=BA.研究了矩阵A与B的线性组合C=c1A+c2B是幂等矩阵时非零复数对(c1,c2)所满足的条件,建立了C=c1A+c2B是幂等矩阵的10组充分条件. Let A be an idempotent matrix, B be an l-potent matrix （i. e. ,B＇ =B ）, and AB = BA. The conditions are discussed that nonzero complex number pair （c1, c2 ） satisfies when the combination C = c1A ＋ c2B is an idempotent matrix. 10 sufficient conditions are established to make C = c1A ＋ c2B idempotent.

作者陈建彪徐兆亮

机构地区上海海事大学基础教学部

出处《上海海事大学学报》北大核心 2006年第2期91-94,共4页 Journal of Shanghai Maritime University

关键词幂等矩阵 l-幂等矩阵线性组合幂等性投影算子 idempotent matrix l-potent matrix linear combination idempoteney projector

分类号 O151.21 [理学—基础数学]

引文网络
相关文献

参考文献8

1WANG Guorong, WEI Yimin, QIU Sanzheng. Generalized Inverses: Theory and Computation[ M ]. Beijing/New York:Science Press,2004.
2BEN I A,GREVILLE T N E. Generalized Inverses: Theory and Applications[ M]. New York: Wiley, 1974.
3GROB J, TRENKLER G. On the product of oblique projectors[ J]. Linear and Multilinear Algebra ,1998(d4-) :247 -259.
4TAKANE Y, YANAI H. On oblique projectors[ J ]. Linear Algebra and its Applications , 1999 (289) :297 - 310.
5BAKSALARY J K, BAKSALARY O M . Idempotency of linear combinations of two idempotent matrices [ J ]. Linear Algebra and its Applications,2000(321) :3 -7.
6BAKSALARY J K, BAKSALARY 0 M, STYAN G P H. Idempotency of linear combinations of an idempotent matrix and a tripotent matrix [ J ]. Linear Algebra and its Applications ,2002 ( 354 ) :21 - 34.
7BAKSALARY O M. Idempotency of linear combinations of three idempotent matrices, two of which are disjoint [ J ]. Linear Algebra and its Applications,2004 ( 388 ) :67 - 78.
8BAKSALARY J K,BAKSALARY O M ,OZDEMIR H. A note on linear combinations of commuting tripotent matrices[ J]. Linear Algebra and its Applications,2004 ( 388 ) :45 - 51.

1郑金山.一些特殊分块矩阵的Drazin逆[J].哈尔滨师范大学自然科学学报,2014,30(1):11-15.
2武玲玲,刘晓冀.广义投影矩阵线性组合的研究[J].四川师范大学学报（自然科学版）,2012,35(6):734-737. 被引量：3
3吴勇毅.C2B预售,颠覆传统产销模式[J].软件工程师,2013(4):48-50. 被引量：3
4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
5MIAO ChangQing LI SiDian.B_n(BO)_n^(2-),CB_(n-1)(BO)_n^-,and C_2B_(n-2)(BO)_n (n=5-12):Cage-like boron oxide clusters analogous to closo-B_nH_n^(2-),CB_(n-1)H_n^-,and C_2B_(n-2)H_n[J].Science China Chemistry,2011,54(5):756-761. 被引量：1
6LU JiHua HE Li SUI SenFang.C2 domain of synaptotagmin I associates with lipid rafts of plasma membrane[J].Chinese Science Bulletin,2008,53(9):1373-1380. 被引量：1

上海海事大学学报

2006年第2期

浏览历史

内容加载中请稍等...

矩阵C=c_1A+c_2B的幂等性

参考文献8

相关作者

相关机构

相关主题

浏览历史