期刊文献+

两个幂等元组合的Drazin逆及指数

The Drazin Inverses and Indexes of Combinations of Two Idempotents
下载PDF
导出
摘要 利用构造和直接按照定义计算的方法,讨论Banach代数上两个幂等元P,Q的组合aP+bQ+cPQ分别在条件PQP=0,PQP=P及PQP=PQ下的Drazin逆的存在性,指数,并且给出Drazin逆的计算公式. By using the methods of construction and directly computations by definitions, the existance and the indexes of combinations aP + bQ + cPQ of two idempotent elements P and Q of a Banach algebra under the conditions, PQP = O, PQP = P and PQP = PQ are discussed respectively,with Drazin inverse formulars also obtained.
作者 谢涛 左可正
出处 《应用数学》 CSCD 北大核心 2013年第3期554-560,共7页 Mathematica Applicata
基金 湖北省教育厅重点项目(D20122202) 湖北省教育厅青年项目(B20122203)
关键词 BANACH代数 幂等元 DRAZIN逆 组合 Banach algebra Idempotent element Drazin inverse Combination
  • 相关文献

参考文献13

  • 1WANG Guorong;WEI Yimin;QIAO Sanzheng.Generalized inverse:theory and computations[A]{H}北京:科学出版社,2004.
  • 2Campbell S L,Meyer C D. Generalized Inverse of Linear Transformations[M].London:Pitman Press,1979.
  • 3Drazin M P. Pseudo inverse in associative rings and semigroups[J].{H}AMERICAN MATHEMATICAL MONTHLY,1958.506-514.
  • 4DENG Chunyuan. The Drazin inverses of sum and differcnce of idempotents[J].{H}Linear Algebra and its Applications,2009.1282-1291.
  • 5Djordjrvic D S,Stanimirovic P S. On the generalized Drazin inverse and gereralized resolvent[J].{H}CZECHOSLOVAK MATHEMATICAL JOURNAL,2001.671-634.
  • 6Douglas R G. On majorization factorization and range inclusion of operators in Hilbert space[J].{H}Proceedings of the American Mathematical Society,1966.413-416.
  • 7Hartwig R E,Levine J. Applications of the Drazin inverse to the Hill cryptographic system[J].Crytologia,1981.67-77.
  • 8Hartwig R E,WANG Guorong,WEI Yiming. Some additive results on the Drazin inverse[J].{H}Linear Algebra and its Applications,2001.207-217.
  • 9Meyer C D. The condition number of a finite Markov chains and perturbation bounds for the limiting probabilities[J].SIMA Journal on Algebraic Discrete Methods,1980.273-283.
  • 10Simeon B,Fuhrer C,Rentrop P. The Drazin inverse in multibody system dynamics[J].{H}NUMERISCHE MATHEMATIK,1993.521-536.

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