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Abstract <p> The stability of saddle points is studied. A stability theorem is proved and examples showing that its assumptions are essential are presented. Generalizations of the stability theorem are obtained. The notion of a generalized saddle point is discussed, and properties and stability of such points are studied. </p>

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On the Stability of Saddle Points

  • 期刊论文

  • 发表日期：

    2025年12月1日

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  • A. V. Arutyunov,
  • S. E. Zhukovskii

摘要

Abstract

The stability of saddle points is studied. A stability theorem is proved and examples showing that its assumptions are essential are presented. Generalizations of the stability theorem are obtained. The notion of a generalized saddle point is discussed, and properties and stability of such points are studied.