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In this study, we propose a new class of tensor, Nekrasov Z tensor, in the context of the tensor complementarity problem (TCP). We show that the class of P tensor contains the class of even ordered Nekrasov Z tensors with positive diagonal elements. In this context, we propose a procedure by which a Nekrasov Z tensor can be transformed into a tensor which is diagonally dominant.

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Complementarity Problem with Nekrasov Z Tensor

  • 会议论文

  • 发表日期：

    2025年

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  • R. Deb,
  • A. K. Das

摘要

In this study, we propose a new class of tensor, Nekrasov Z tensor, in the context of the tensor complementarity problem (TCP). We show that the class of P tensor contains the class of even ordered Nekrasov Z tensors with positive diagonal elements. In this context, we propose a procedure by which a Nekrasov Z tensor can be transformed into a tensor which is diagonally dominant.