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<p>The aim of this paper is to generalize the system of matrix equations for defining the P-core–EP inverse based on a minimal rank weak Drazin inverse. Solving new system, we present the concept of the weak P-core–EP inverse as a new wider class of generalized inverses involving Drazin inverse, P-core–EP inverse and CPO-inverse. We investigate many characterizations and expressions of the weak P-core–EP inverse. Applying the weak P-core–EP inverse, we solve certain linear equations. As consequences of our results, we get new properties of some special types of weak P-core–EP inverse.</p>

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A generalization of the P-core–EP inverse

  • 期刊论文

  • 发表日期：

    2026年4月6日

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  • Dijana Mosić

摘要

The aim of this paper is to generalize the system of matrix equations for defining the P-core–EP inverse based on a minimal rank weak Drazin inverse. Solving new system, we present the concept of the weak P-core–EP inverse as a new wider class of generalized inverses involving Drazin inverse, P-core–EP inverse and CPO-inverse. We investigate many characterizations and expressions of the weak P-core–EP inverse. Applying the weak P-core–EP inverse, we solve certain linear equations. As consequences of our results, we get new properties of some special types of weak P-core–EP inverse.