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May 26, 2026FilomatOpen Access

Generalized inverses and the solutions of related equations in matrix rings

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Authors

WLWuxin LuJWJunchao Wei

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Overview

Explores conditions for PI and SEP matrices through specific matrix equations, suggesting implications for matrix theory.

Key Points

  • The central aim is to explore equivalent conditions for PI and SEP matrices through the analysis of specific matrix equations.
  • Constructed specific matrix equations to assess equivalence for PI and SEP matrices.
  • Analyzed the existence of solutions to these equations within a defined set.
  • Identified conditions under which a group invertible matrix qualifies as PI or SEP.
  • Established criteria that relate to the solutions of the constructed matrix equations.

Cite This Study

Lu et al. (2025) studied this question.

synapsesocial.com/papers/6a153a88b5d9c58d83e8d1d1https://doi.org/10.2298/fil2529371l
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