Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5773040 | Linear Algebra and its Applications | 2018 | 30 Pages |
Abstract
We consider matrices over a commutative ring and characterize the class of outer inverses for which Jacobi type identities can be extended. We obtain a necessary and sufficient condition for the existence of Rao-regular Drazin inverse in terms of sum of principal minors of Ak for some k. Also, we obtain determinantal formula for the Rao-regular Drazin inverse. Conjectures are formulated which give expressions for outer inverse and the conjectures are proved in some special cases.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Ravindra B. Bapat, Manjunatha Prasad Karantha, Nupur Nandini, Divya P. Shenoy,