Second order necessary optimality conditions for minimizing a sup-type function

研究成果: ジャーナルへの寄稿記事

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The second derivative of an envelope cannot be expressed only by second derivatives of the constituent functions. By taking account of this fact, we derive new second order necessary optimality conditions for minimization of a sup-type function. The conditions involve an extra term besides the second derivative of the Lagrange function. Furthermore, we will comment on the relationship between the extra term and a kind of second order directional derivative of the sup-type function.

元の言語英語
ページ(範囲)213-229
ページ数17
ジャーナルMathematical Programming, Series B
49
発行部数2
出版物ステータス出版済み - 12 1 1990

All Science Journal Classification (ASJC) codes

  • Software
  • Mathematics(all)

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