CVX: Matlab Software for Disciplined Convex Programming

http://cvxr.com/cvx/

CVX is a Matlab-based modeling system for convex optimization. CVX turns Matlab into a modeling language, allowing constraints and objectives to be specified using standard Matlab expression syntax. For example, consider the following convex optimization model:



The following
code segment generates and solves a random instance of this model:

m = 20; n = 10; p = 4;
A = randn(m,n); b = randn(m,1);
C = randn(p,n); d = randn(p,1); e = rand;
cvx_begin
variable x(n)
minimize( norm( A * x - b, 2 ) )
subject to
C * x == d
norm( x, Inf ) <= e
cvx_end