Convex optimization by stephen boyd

4.5/5AbeBooks Convex optimization problems arise frequently in many different fields. This book provides a comprehensive introduction to the subject, and shows in detail how such problems can be solved numerically with great efficiency. Google BooksOriginally published: 2004Authors: Stephen P. Boyd and Lieven Vandenberghe
Convex Optimization book cover. Convex Optimization Stephen Boyd and Lieven VandenbergheCambridge University Press. A MOOC on convex optimization, CVX101 

Is a(X)Ta(x) Si a convex optimization problem?

Since the function A(x)TA(x) − sI is matrix convex in (x,s), this is a convex optimization problem with a single q×qmatrix inequality constraint

We can also formulate the problem using a single linear matrix inequality of size (p+q)× (p+q), using the fact that ATA t2I(and t≥ 0) ⇐⇒ tI A ATtI 0

(see §A 5 5)

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