plq_pa - Piecewise linear quadratic (plq), convex proximal average via conjugates
Compute the proximal average (PA) of two plq functions at a specified lambda_pa value. The PA is computed using the following formula, where * represents the Fenchel Conjugate.
P(f1,lambda,f2) = [ (1 - lambda)(f1 + (1/2)||.||^2)* + lambda(f2 + (1/2)||.||^2)* ]* - (1/2)||.||^2
lambda_pa = 0.5; f1 = [%inf, 0, 1, 0]; f2 = [%inf, 0, -1, 5]; result = plq_pa(f1, f2, lambda_pa);
Mike Trienis, University of British Columbia, BC, Canada