An efficient matrix iteration family for finding the generalized outer inverse

Kansal, Munish; Kumar, Sanjeev; Kaur, Manpreet

doi:10.1016/j.amc.2022.127292

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2023

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“…Characterizations, representations and computational procedures based on appropriate matrix equations and ranks of involved matrices are proposed in [15][16][17]. Iterative computational algorithms were developed in [18][19][20][21][22][23].…”

Section: Introductionmentioning

confidence: 99%

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

2023

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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 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.

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