Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4633102 | Applied Mathematics and Computation | 2009 | 5 Pages |
Abstract
Let H be a Hilbert space, M the closed subspace of H with orthocomplement Mâ¥. According to the orthogonal decomposition H=MâMâ¥, every operator MâB(H) can be written in a block-form M=ABCD. In this note, we give necessary and sufficient conditions for a partitioned operator matrix M to have the Drazin inverse with Banachiewicz-Schur form. In addition, this paper investigates the relations among the Drazin inverse, the Moore-Penrose inverse and the group inverse when they can be expressed in the Banachiewicz-Schur forms.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Chun Yuan Deng,