Convex functions

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Optimality conditions for convex optimization

  • Theorem
  • Remarks and explanation
  • Proof of the theorem
  • A special case

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  • Introduction
  • Preliminaries
  • First and second order characterizations of convex functions
  • Strict convexity and uniqueness of optimal solutions
  • Optimality conditions for convex optimization
    • Theorem
    • Remarks and explanation
    • Proof of the theorem
    • A special case
  • Resolved exercises

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