Minimal Rank Properties of Outer Inverses with Prescribed Range and Null Space

Dijana Mosić, Predrag S. Stanimirović () and Spyridon D. Mourtas
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Dijana Mosić: Faculty of Sciences and Mathematics, University of Niš, Višegradska 33, 18000 Niš, Serbia
Predrag S. Stanimirović: Faculty of Sciences and Mathematics, University of Niš, Višegradska 33, 18000 Niš, Serbia
Spyridon D. Mourtas: Laboratory “Hybrid Methods of Modelling and Optimization in Complex Systems”, Siberian Federal University, Prosp. Svobodny 79, 660041 Krasnoyarsk, Russia

Mathematics, 2023, vol. 11, issue 7, 1-18

Abstract: The purpose of this paper is to investigate solvability of systems of constrained matrix equations in the form of constrained minimization problems. The main novelty of this paper is the unification of solutions of considered matrix equations with corresponding minimization problems. For a particular case we extend some well-known results and give several new results for the weak Drazin inverse. The main characterizations of the Drazin inverse, group inverse and Moore–Penrose inverse are obtained as consequences.

Keywords: matrix equation; generalized inverse; matrix rank (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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