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Numerical Optimization
Lecture# 28
'Geometric Interpretation' Video Lecture
Geometric Interpretation
Course
:
Numerical Optimization
Discipline
:
Computer Science and Engineering
Faculty
: Dr. Shirish K. Shevade
Institute
:
IISc Bangalore
Geometric Interpretation
- Browse through
Numerical Optimization (Computer Science and Engineering)
Video Lectures by
Dr. Shirish K. Shevade
from
IISc Bangalore
through NPTEL.
Course
:
Numerical Optimization
Discipline
:
Computer Science and Engineering
Faculty
: Dr. Shirish K. Shevade
Institute
:
IISc Bangalore
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Lagrangian Saddle Point and Wolfe Dual
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Course Video Lectures
Introduction
Mathematical Background
Mathematical Background (contd)
One Dimensional Optimization - Optimality Con..
One Dimensional Optimization (contd)
Convex Sets
Convex Sets (contd)
Convex Functions
Convex Functions (contd)
Multi Dimensional Optimization - Optimality C..
Line Search Techniques
Global Convergence Theorem
Steepest Descent Method
Classical Newton Method
Trust Region and Quasi-Newton Methods
Quasi-Newton Methods - Rank One Correction, D..
i) Quasi-Newton Methods - Broyden Family ii) ..
Conjugate Directions
Conjugate Gradient Method
Constrained Optimization - Local and Global S..
Feasible and Descent Directions
First Order KKT Conditions
Constraint Qualifications
Convex Programming Problem
Second Order KKT Conditions
Second Order KKT Conditions (contd)
Weak and Strong Duality
Geometric Interpretation
Lagrangian Saddle Point and Wolfe Dual
Linear Programming Problem
Geometric Solution
Basic Feasible Solution
Optimality Conditions and Simplex Tableau
Simplex Algorithm and Two-Phase Method
Duality in Linear Programming
Interior Point Methods - Affine Scaling Metho..
Karmarkar\'s Method
Lagrange Methods, Active Set Method
Active Set Method (contd)
Barrier and Penalty Methods, Augmented Lagran..
Summary
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