Convex Optimization
Solutions Manual
Stephen Boyd
January 4, 2006
Lieven Vandenberghe
Chapter 2
Convex sets
Exercises
Exercises
Denition of convexity
2.1 Let C Rn be a convex set, with x1 , . . . , xk C, and let 1 , . . . , k R satisfy i 0,
1 + + k = 1. S

Convex Optimization Boyd & Vandenberghe
1. Introduction
mathematical optimization
least-squares and linear programming
convex optimization
example
course goals and topics
nonlinear optimization
brief history of convex optimization
11
Mathematical o