Abstract
AbstractThe core-EP and BT inverses for rectangular matrices were studied recently in the literature. The main aim of this paper is to unify both concepts by means of a new kind of generalized inverse called W-weighted q-BT inverse. We analyze its existence and uniqueness by considering an adequate matrix system. Basic properties and some interesting characterizations are proved for this new weighted generalized inverse. Also, we give a canonical form of the W-weighted q-BT inverse by means of the weighted core-EP decomposition.
Funder
Universidad Nacional de La Pampa
Ministerio de Industria, Economía y Competitividad, Gobierno de España
Secretaría de Ciencia y Técnica, Universidad Nacional de Río Cuarto
CONICET, Argentina
Universitat Politècnica de València
Publisher
Springer Science and Business Media LLC
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