Convex functions

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Strict convexity and uniqueness of optimal solutions

  • Characterization of strict convexity
  • Strict convexity and uniqueness of optimal solutions
  • Quadratic functions revisited

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  • Introduction
  • Preliminaries
  • First and second order characterizations of convex functions
  • Strict convexity and uniqueness of optimal solutions
    • Characterization of strict convexity
    • Strict convexity and uniqueness of optimal solutions
    • Quadratic functions revisited
  • Optimality conditions for convex optimization
  • Resolved exercises

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