On deriving the generalized Drazin inverse of block matrices in a Banach algebra

  • Dijana Mosić
Keywords: Generalized Drazin inverse, Schur complement, block matrix

Abstract

This paper is devoted to the generalized Drazin inverse of a block matrix x = [a b c d] in a Banach algebra A, under specic conditions. We focus on deriving formulae for the generalized Drazin inverse of x in terms of the generalized Drazin inverses of the elements a, aπbc, a2ad + aadbcad and the generalized Schur complement s = d - cadb.

Keywords: Generalized Drazin inverse, Schur complement, block matrix

Published
2016-09-08
Section
Articles

Journal Identifiers


eISSN: 1727-933X
print ISSN: 1607-3606