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0:06:49
Non-convex Optimization via Convex Optimization Algorithms
0:09:47
Cauchy-Schwarz Inequality
0:04:45
Notation
0:11:29
Linear Programming
0:08:13
Addition and Elimination of Variables
0:08:41
Change of Variables
0:14:28
Least Squares Problem
0:13:54
Zeroth Order Condition for Convexity
0:19:20
Singular Value Decomposition
0:14:15
Motivation for Convex Optimization
0:11:36
General Norms
0:08:15
PSD Cone
0:20:29
LP in Communications Systems
0:11:08
First and Second Order Conditions for Convexity
0:08:02
Robust Optimization
0:12:21
Transformations that preserve Convexity
0:13:11
Relating Convex Sets and Functions
0:10:06
Examples of Convex Sets
0:20:51
Composition Rules for Convex Functions
0:12:43
Positive Definite Matrices
0:08:08
Convex Problems
0:12:59
Example: Verifying Convexity
0:15:09
L1 and L-Infinity Norm Minimization (Approximation Problems)
0:08:33
Supporting and Separating Hyperplanes
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