Research Papers
by Michael L. Overton
General Interests :
My research concerns numerical algorithms, their analysis, and related issues, primarily in the areas of optimization
and linear algebra. I am also interested in the mathematical analysis of nonsmooth functions, especially the analysis
of eigenvalues, which arise in many different areas of applied mathematics. A related topic is semidefinite programming,
which is linear programming in the space of real symmetric matrices, with eigenvalue positivity constraints.
I have a special interest in nonsmooth, nonconvex optimization problems involving eigenvalues and other
stability measures of nonsymmetric matrices, including pseudospectra and spectral value sets. I am also
interested in floating point arithmetic.
M.L. Overton's research work was supported
by the National Science Foundation every year from 1981 to 2024.
Other
Topics