Title: 40 Years of Linear Algebra and Optimization at Stanford Speaker: Michael Saunders Systems Optimization Laboratory (SOL) Department of Management Science and Engineering Stanford University Abstract: I came to Stanford in 1967 as a very green graduate student (not in today's ecological sense). Computer Science was a new department, as was Operations Research. The CS qualifying exams allowed 3 out of 5 topics, including numerical analysis. Alan George and I obtained permission to take one of the OR exams. Thus began a career of applying stable matrix methods to numerical optimization (as pioneered by Gene Golub, Philip Gill, and Walter Murray). We trace the impact of Gene inviting numerous researchers to Serra House (including Chris Paige and Bruce Murtagh), as well as George Dantzig's creation of the Systems Optimization Lab in the OR Department, and Gene's founding of the SCCM Program. The talk includes some illustrations of the use of optimization within the aerospace industry.