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<p>In this paper, without requiring any constraint qualifications, we establish tight error bounds for the log-determinant cone, which is the closure of the hypograph of the perspective function of the log-determinant function. This error bound is obtained using the recently developed framework based on one-step facial residual functions.</p>

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Tight Error Bounds for Log-Determinant Cones Without Constraint Qualifications

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年4月9日

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  • Ying Lin,
  • Scott B. Lindstrom,
  • Bruno F. Lourenço,
  • Ting Kei Pong

摘要

In this paper, without requiring any constraint qualifications, we establish tight error bounds for the log-determinant cone, which is the closure of the hypograph of the perspective function of the log-determinant function. This error bound is obtained using the recently developed framework based on one-step facial residual functions.