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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… Click to show full 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:
rank properties;
minimal rank;
prescribed range;
inverses prescribed;
properties outer;
outer inverses
Journal Title: Mathematics
Year Published: 2023
Link to full text (if available)
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Journal Title: Mathematics
Year Published: 2023
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!