Scholarlink

<p>In this paper, the second-order directional derivative of the optimal value function and the optimal solution function are obtained for a strongly stable parametric problem with non-unique Lagrange multipliers. Some properties of the Lagrange multipliers are proved. It is justified that the second-order directional derivative of the optimal solution function for the parametric problem can be obtained by solving a suitable convex quadratic programming problem corresponding to an appropriate set of multipliers.</p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

Second-order directional derivatives of the optimal solution function in parametric programming problems

  • 期刊论文

  • 发表日期：

    2026年6月29日

查看全文
  • Bhuvnesh Khatana,
  • Geetanjali Panda

摘要

In this paper, the second-order directional derivative of the optimal value function and the optimal solution function are obtained for a strongly stable parametric problem with non-unique Lagrange multipliers. Some properties of the Lagrange multipliers are proved. It is justified that the second-order directional derivative of the optimal solution function for the parametric problem can be obtained by solving a suitable convex quadratic programming problem corresponding to an appropriate set of multipliers.