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He is well known for his research on the accuracy and stability of numerical algorithms, and the second edition of his 700-page monograph on this topic was published by SIAM in 2002. His most recent monograph, Functions of Matrices: Theory and Computation (SIAM, 2008), is the first book devoted to this topic. He is the Editor of the Princeton Companion to Applied Mathematics (2015, over 1000 pages).
He has more than 160 refereed publications on topics such as rounding error analysis, linear systems, least squares problems, matrix functions and nonlinear matrix equations, condition number estimation, and polynomial eigenvalue problems. His research has been supported by grants from EPSRC and by fellowships from the Nuffield Foundation, the Royal Society and the Leverhulme Trust. He held a 2M euro ERC Advanced Grant (2011-2016) supporting his research on matrix functions.
Elected to the National Academy of Engineering in 2023
He has more than 160 refereed publications on topics such as rounding error analysis, linear systems, least squares problems, matrix functions and nonlinear matrix equations, condition number estimation, and polynomial eigenvalue problems. His research has been supported by grants from EPSRC and by fellowships from the Nuffield Foundation, the Royal Society and the Leverhulme Trust. He held a 2M euro ERC Advanced Grant (2011-2016) supporting his research on matrix functions.
Elected to the National Academy of Engineering in 2023
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SIAM J. Matrix Anal. Appl.no. 1 (2024): 529-552
SIAM J. Matrix Anal. Appl.no. 1 (2022): 233-256
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