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His research concerns nonsmooth optimization and variational analysis. He has authored nearly 100 refereed publications and a book, and he is Co-Editor of Mathematical Programming. He received the 1995 Aisenstadt Prize, the 2003 Lagrange Prize, and a 2005 Outstanding Paper Prize from SIAM, and he is a SIAM Fellow. He was an invited section speaker at the 2014 International Congress of Mathematicians in Seoul.
Professor Lewis's research concerns the interplay between the mathematical theory of variational analysis and its practical application to concrete models in science and engineering, including the design and analysis of computational algorithms for nonsmooth optimization. He is particularly interested in optimization problems involving eigenvalues, such as robust control and pseudospectral sensitivity. Most recently his interests have turned to semi-algebraic geometry as a model for generic structure in nonsmooth optimization, leading to a fascinating blend of variational analysis, classical mathematics, numerical computation, and applied modeling.
Professor Lewis's research concerns the interplay between the mathematical theory of variational analysis and its practical application to concrete models in science and engineering, including the design and analysis of computational algorithms for nonsmooth optimization. He is particularly interested in optimization problems involving eigenvalues, such as robust control and pseudospectral sensitivity. Most recently his interests have turned to semi-algebraic geometry as a model for generic structure in nonsmooth optimization, leading to a fascinating blend of variational analysis, classical mathematics, numerical computation, and applied modeling.
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SIAM JOURNAL ON OPTIMIZATIONno. 1 (2024): 366-388
Siyu Kong,A. S. Lewis
MATHEMATICS OF OPERATIONS RESEARCH (2023)
SIAM J. Optim.no. 1 (2023): 36-62
arxiv(2020)
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user-5ebe28ba4c775eda72abcdf3(2019)
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arxiv(2019)
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