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My research is largely concerned with the development and analysis of algorithms in numerical linear algebra. The second edition of my monograph on this topic was published by the Society for Industrial and Applied Mathematics (SIAM) in 2002. My most recent books are Functions of Matrices: Theory and Computation (SIAM, 2008) and the Princeton Companion to Applied Mathematics (2015), of which I am editor. I am a Fellow of the Royal Society and a SIAM Fellow.