Representations and computations of {2, 3(similar to)} and {2, 4(similar to)}-inverses in indefinite inner product spaces

摘要

We investigate full-rank representations of {2, 3(similar to)} and {2, 4(similar to)}-inverses with prescribed rank as well as with prescribed range and null space in an indefinite inner product space. In certain particular cases we obtain new results or generalizations related with {2, 3} and {2, 4}-inverses in a Hilbert (unitary) space. Direct and iterative methods for computing {2, 3(similar to)} and {2, 4(similar to)}-inverses in an indefinite inner product space are developed. Numerical examples with different metric matrices are presented. (C) 2014 Elsevier Inc. All rights reserved.