The Drazin inverses of Combinations of Two idempotents
Keywords:
Idempotent operator, Drazin inverse, combinationAbstract
By using the methods of splitting operator's matrix into blocks and space decompositions, the existence and calculation formulas of Drazin inverse of the combinations aP+bQ+cPQ of two idempotent operators P and Q on a Hilbert space are obtained under the conditions PQP=0,PQP=P and PQP=PQ respectively.These generalized the related results of Deng's work, which characterized the Drazin inverse of the sum and difference of two idempotents.Downloads
Published
2012-11-07
Issue
Section
Mathematical Modeling and Numerical Analysis
License
Upon acceptance of an article by the journal, the author(s) accept(s) the transfer of copyright of the article to European Journal of Pure and Applied Mathematics.
European Journal of Pure and Applied Mathematics will be Copyright Holder.
How to Cite
The Drazin inverses of Combinations of Two idempotents. (2012). European Journal of Pure and Applied Mathematics, 5(4), 480-491. https://www.ejpam.com/index.php/ejpam/article/view/1624