Representations and computations of {2,3∼} and {2,4∼}-inverses in indefinite inner product spaces

Miloš Z. Petrović and Predrag S. Stanimirović

Applied Mathematics and Computation, 2015, vol. 254, issue C, 157-171

Abstract: We investigate full-rank representations of {2,3∼} and {2,4∼}-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∼} and {2,4∼}-inverses in an indefinite inner product space are developed. Numerical examples with different metric matrices are presented.

Keywords: Indefinite inner product; {2,3∼}-inverse; {2,4∼}-inverse; Moore–Penrose inverse; Minkowski inverse (search for similar items in EconPapers)
Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:254:y:2015:i:c:p:157-171

DOI: 10.1016/j.amc.2014.12.100

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