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Few Topics are:

  • mathematical optimization
  • Primal-dual initerior-point method for linear programming
  • Steepest descent method, Newton method, quasi Newton method
  • Numerical methods for nonlinear optimization problems
  • Numerical methods for constrained nonlinear optimization problems
  • Augmented Lagrangian method, trust-region method, primal-dual interior-point method
  • Conic optimization problems
  • Second-order cone programming, semidefinite programming
  • Optimization in mechanical measurement
  • Optimization methods that imitate nature
  • Combinatorial optimization problems, meta-heuristics
  • Brand-and-bound method
  • Semidefinite programming relaxation