Rate My Professor Anne Greenbaum

Anne Greenbaum is a distinguished professor in Mathematics, specializing in numerical analysis with a focus on numerical linear algebra, matrix theory, and their applications. She received her B.S. in Mathematics and Philosophy from the University of Michigan in 1974, M.A. in Mathematics from the University of California, Berkeley in 1978, and Ph.D. in Mathematics from the University of California, Berkeley in 1981. Her doctoral thesis, supervised by Beresford Parlett and Paul Concus, was titled “Convergence Properties of the Conjugate Gradient Algorithm in Exact and Finite Precision Arithmetic.” Greenbaum's career spans significant roles: Mathematician at Lawrence Livermore National Laboratory from 1974 to 1986, Research Professor at the Courant Institute of Mathematical Sciences, New York University from 1986 to 1997, Professor in the Mathematics Department at the University of Washington from 1997 to 2009, and Professor in the Applied Mathematics Department at the University of Washington from 2009 to present, now as Professor Emerita.

Her research interests include nonnormal matrices and linear operators with connections to complex approximation theory, iterative methods for linear systems, and integral equations. Greenbaum co-authored the LAPACK Users’ Guide (SIAM, 1992), a cornerstone in high-performance computing. She authored Iterative Methods for Solving Linear Systems (SIAM, 1997) and co-authored Numerical Methods: Design, Analysis, and Computer Implementation of Algorithms with Tim Chartier (Princeton University Press, 2012). As editor, she contributed to the Handbook of Linear Algebra (Chapman and Hall/CRC, 2007) and IMA Volumes in Mathematics: Recent Advances in Iterative Methods (Springer, 1994). Selected publications feature “Any Nonincreasing Convergence Curve is Possible for GMRES” (SIAM J. Matrix Anal. Appl., 1996), “Near Normal Dilations of Non-normal Matrices and Linear Operators” (SIAM J. Matrix Anal. Appl., 2016), and “First-Order Perturbation Theory for Eigenvalues and Eigenvectors” with Ren-Cang Li and Michael L. Overton. Her honors include the SIAM Activity Group on Linear Algebra Award for Outstanding Paper (1991–1993), B. Bolzano Honorary Medal for Merit in the Mathematical Sciences (Academy of Sciences of the Czech Republic, 1997), SIAM Fellow (2015), and AWM-SIAM Sonia Kovalevsky Lecturer (2022). Greenbaum's contributions have shaped numerical linear algebra profoundly.