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<p>This paper establishes some characterizations of the dual generalized inverses utilizing the dual core-EP decomposition. Additionally, we introduce the concepts of the stronger i-EP matrix and the stronger appreciable i-EP matrix, discussing their characterizations and interrelationships. Finally, we define the dual C-S inverse and one special dual C-S inverse, examine their properties, and establish their connections with dual i-EP matrices. Several illustrative examples are provided to demonstrate the validity of our results.</p>

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Dual C-S inverse and its applications

  • 期刊论文

  • 发表日期：

    2026年5月11日

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  • Hongxing Wang,
  • Haifan Guan,
  • Changfang Nong

摘要

This paper establishes some characterizations of the dual generalized inverses utilizing the dual core-EP decomposition. Additionally, we introduce the concepts of the stronger i-EP matrix and the stronger appreciable i-EP matrix, discussing their characterizations and interrelationships. Finally, we define the dual C-S inverse and one special dual C-S inverse, examine their properties, and establish their connections with dual i-EP matrices. Several illustrative examples are provided to demonstrate the validity of our results.