This document discusses using extreme computing techniques for adaptive optics systems to directly image exoplanets. It proposes using a QDWH-based partial SVD algorithm for computing the pseudoinverse required by adaptive optics systems. This algorithm uses the polar decomposition to reduce the matrix size before computing a partial SVD, improving performance over traditional full SVD methods. Results show the QDWH approach achieves up to a 4x speedup on GPUs and reaches 75% of theoretical peak performance, making it suitable for extreme adaptive optics applications seeking exoplanets.