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<p>This paper introduces the dual CPO inverses and establishes precise conditions for their existence. By means of the Hatwig-Spindelböck decomposition, we systematically investigate the relationships between dual CPO inverse and other dual generalized inverses. Meanwhile, we derive perturbation bounds under conditions of stable perturbation. The concepts, properties, and perturbation analysis of dual CPO inverses are then extended to the dual T-CPO inverse of tensors. Under stable perturbation conditions, the perturbation bounds for dual T-CPO inverses are established.</p>

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Perturbation analysis of dual T-CPO inverse based on the T-product

  • 期刊论文

  • 发表日期：

    2025年9月8日

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  • Yuhang Liu,
  • Haifeng Ma

摘要

This paper introduces the dual CPO inverses and establishes precise conditions for their existence. By means of the Hatwig-Spindelböck decomposition, we systematically investigate the relationships between dual CPO inverse and other dual generalized inverses. Meanwhile, we derive perturbation bounds under conditions of stable perturbation. The concepts, properties, and perturbation analysis of dual CPO inverses are then extended to the dual T-CPO inverse of tensors. Under stable perturbation conditions, the perturbation bounds for dual T-CPO inverses are established.