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<p>This article considers the sparse solutions of the tensor complementarity problem (TCP). For a TCP with <i>Z</i>-tensor we establish a connection between the least element of the feasible set of TCP and the sparse solution of the TCP. We propose a <i>p</i> norm regularized minimization problem and show that it can approximate sparse solution applying the regularization of parameter.</p>

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On sparse solution of tensor complementarity problem

  • 期刊论文

  • 发表日期：

    2025年1月31日

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  • R. Deb,
  • A. K. Das

摘要

This article considers the sparse solutions of the tensor complementarity problem (TCP). For a TCP with Z-tensor we establish a connection between the least element of the feasible set of TCP and the sparse solution of the TCP. We propose a p norm regularized minimization problem and show that it can approximate sparse solution applying the regularization of parameter.