Building upon research on the mathematical modeling of computationally intensive codes, CORESPEQ Inc. has developed technology for intensive program optimization. Our formal foundations provide generality of solution, and therefore, do not impose any hardware updates or process changes. Amongst others, we have successfully adapted our technology to SSE vectorization, CUDA for NVIDIA GPGPUs, openMP and pthreads on shared memory platforms and distributed processing using MPI. Drawn from various domains, our core group of computer scientists and master engineers are among the best in the field. Irrespective of its size and complexity, we guarantee the performance and perfection of our solution over any competition. CORESPEQ Inc. offers HPC consulting for the domains that rely heavily on mathematical and scientific computations such as image, video and signal processing, animation and special effects, physical and numerical simulation, bio-informatics, etc. Using the Polyhedral Model as a rigorous mathematical modeling framework, the company offers highly sophisticated loop analysis and optimization techniques for such computations. These optimizations improve the per-core performance by about 20x and, combined with threading, reduce hardware requirements by more than 100x. While our products are an effort to commercialize these advancements, our HPC scientists and engineers supplement our compilation technology and offer consulting services for High Performance Computing.