weighted_analytic_center.m
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			% Weighted analytic center of a set of linear inequalities
			% Joëlle Skaf - 04/29/08
			%
			% The weighted analytic center of a set of linear inequalities:
			% a_i^Tx <= b_i i=1,...,m,
			% is the solution of the unconstrained minimization problem
			% minimize -sum_{i=1}^m w_i*log(b_i-a_i^Tx),
			% where w_i>0

			% Input data
			randn('state', 0);
			rand('state', 0);
			n = 10;
			m = 50;
			tmp = randn(n,1);
			A = randn(m,n);
			b = Atmp + 2rand(m,1);
			w = rand(m,1);

			% Analytic center
			cvx_begin
			variable x(n)
			minimize -sum(w.log(b-Ax))
			cvx_end

			disp('The weighted analytic center of the set of linear inequalities is: ');
			disp(x);

R1252/simulation-code/cvx/examples/log_exp/weighted_analytic_center.mde096106547amaster