Parametrizing W-weighted BT inverse to obtain the W-weighted q-BT inverse
D. E. Ferreyra, Néstor Thome, C. Torigino · Revista de la Real Academia de Ciencias Exactas Físicas y Naturales Serie A Matemáticas · 2024
Abstract The 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.