Analog design cost faces twin challenges in increasing design time with technology development and stagnation in architectural innovation. Consequently there is a clear need for effective analog circuit optimization, synthesis and automated design tools. There has been some work on analog optimization but such tools are mostly heuristic based and thus viable only for small circuit blocks. We are combining circuit design and sate-of-the-art optimization knowledge to solve circuit challenges using efficient, deterministic optimization techniques such as convex optimization. Convex optimization has been applied to digital design by companies and we have already successfully used convex optimization to develop an analog equalizer for 6.25GB/s 4-PAM backplane communications.