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Course Description

computer science, operations research, mathematical optimization (alternatively, optimization or mathematical programming) is the selection of a best element (with regard to some criteria) from some set of available alternatives.

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Course Syllabus
  • Mod-01 Lec-01 Introduction
  • Mod-02 Lec-02 Mathematical Background
  • Mod-02 Lec-03 Mathematical Background (contd)
  • Mod-03 Lec-04 One Dimensional Optimization - Optimality Conditions
  • Mod-03 Lec-05 One Dimensional Optimization (contd)
  • Mod-04 Lec-06 Convex Sets
  • Mod-04 Lec-07 Convex Sets (contd)
  • Mod-05 Lec-08 Convex Functions
  • Mod-05 Lec-09 Convex Functions (contd)
  • Mod-06 Lec-10 Multi Dimensional Optimization - Optimality Conditions, Conceptual Algorithm
  • Mod-06 Lec-11 Line Search Techniques
  • Mod-06 Lec-12 Global Convergence Theorem
  • Mod-06 Lec-13 Steepest Descent Method
  • Mod-06 Lec-14 Classical Newton Method
  • Mod-06 Lec-15 Trust Region and Quasi-Newton Methods
  • Mod-06 Lec-16 Quasi-Newton Methods - Rank One Correction, DFP Meth
  • Mod-06 Lec-17 Quasi-Newton Methods - Rank One Correction, DFP Method
  • Mod-06 Lec-18 Conjugate Direction
  • Mod-06 Lec-19 Quasi-Newton Methods - Rank One Correction, DFP Method
  • Mod-07 Lec-20 Constrained Optimization - Local and Global Solutions, Conceptual Algorithm
  • Mod-07 Lec-21 Feasible and Descent DirectionsMod-07 Lec-22 First Order KKT Conditions
  • Mod-07 Lec-22 First Order KKT
  • Mod-07 Lec-24 Convex Programming Problem
  • Mod-07 Lec-24 Convex Programming Problem
  • Mod-07 Lec-25 Second Order KKT Conditions
  • Mod-07 Lec-26 Second Order KKT Conditions (contd)
  • Mod-08 Lec-27 Weak and Strong Duality
  • Mod-08 Lec-28 Geometric Interpretatio
  • Mod-08 Lec-29 Lagrangian Saddle Point and Wolfe Dual
  • Mod-09 Lec-30 Linear Programming Problem
  • Mod-09 Lec-31 Geometric Solutio
  • Mod-09 Lec-32 Basic Feasible Solution
  • Mod-09 Lec-33 Optimality Conditions and Simplex Tableau
  • Mod-09 Lec-34 Simplex Algorithm and Two-Phase Method
  • Mod-09 Lec-35 Duality in Linear Programming
  • Mod-09 Lec-36 Interior Point Methods - Affine Scaling Method
  • Mod-09 Lec-37 Karmarkar's Method
  • Mod-10 Lec-38 Lagrange Methods,Active set method
  • Mod-10 Lec-39 Active Set Method

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