Left and right W -weighted G -Drazin inverses and new matrix partial orders

• David E. Ferreyra ^[1] ; Dijana Mosić ^[2] ; Albina N. Priori ^[1] ; María Luz Llanes ^[1]
  1. [1] Universidad Nacional de R´ıo Cuarto,Argentina
  2. [2] University of Niˇs, Serbia
• Localización: Revista de la Unión Matemática Argentina, ISSN 0041-6932, ISSN-e 1669-9637, Vol. 69, Nº. 1, 2026, págs. 125-141
• Idioma: inglés
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• Resumen

  • This paper investigates a way to define left and right versions of the class of G-Drazin inverses for complex rectangular matrices. More precisely, the concepts of W-weighted left and right G-Drazin inverses are introduced and characterized by means of a simultaneous core-nilpotent decomposition as well as by a certain system of matrix equations. Then new partial orders associated with these weighted generalized inverses are presented and studied.