Michael L. Overton

Publication Activity (10 Years)

Years Active: 1979-2023
Publications (10 Years): 18

Top Topics

Gradient Method

Eigenvalues And Eigenvectors

Constrained Optimization

Controller Design

Top Venues

SIAM J. Matrix Anal. Appl.

Optim. Methods Softw.

Publications

Tim Mitchell, Michael L. Overton
An Experimental Comparison of Methods for Computing the Numerical Radius. CoRR (2023)
Steffen W. R. Werner, Michael L. Overton, Benjamin Peherstorfer
Multifidelity Robust Controller Design with Gradient Sampling. SIAM J. Sci. Comput. 45 (2) (2023)
Michael L. Overton, Pinze Yu
On the Choice of Sign Defining Householder Transformations. CoRR (2023)
Steffen W. R. Werner, Michael L. Overton, Benjamin Peherstorfer
Multi-fidelity robust controller design with gradient sampling. CoRR (2022)
Tim Mitchell, Michael L. Overton
On properties of univariate max functions at local maximizers. Optim. Lett. 16 (9) (2022)
Michael L. Overton
Local Minimizers of the Crouzeix Ratio: A Nonsmooth Optimization Case Study. CoRR (2021)
Suat Gumussoy, Marc Millstone, Michael L. Overton
H-infinity Strong Stabilization via HIFOO, a Package for Fixed-Order Controller Design. CoRR (2020)
Azam Asl, Michael L. Overton
Analysis of the gradient method with an Armijo-Wolfe line search on a class of non-smooth convex functions. Optim. Methods Softw. 35 (2) (2020)
Adrian S. Lewis, Michael L. Overton
Partial Smoothness of the Numerical Radius at Matrices Whose Fields of Values are Disks. SIAM J. Matrix Anal. Appl. 41 (3) (2020)
Oleg N. Kirillov, Michael L. Overton
Finding the strongest stable weightless column with a follower load and relocatable concentrated masses. CoRR (2020)
Anne Greenbaum, Ren-Cang Li, Michael L. Overton
First-Order Perturbation Theory for Eigenvalues and Eigenvectors. SIAM Rev. 62 (2) (2020)
Suat Gumussoy, Michael L. Overton
Fixed-Order H-infinity Controller Design via HIFOO, a Specialized Nonsmooth Optimization Package. CoRR (2020)
Anne Greenbaum, Ren-Cang Li, Michael L. Overton
First-order Perturbation Theory for Eigenvalues and Eigenvectors. CoRR (2019)
Peter Benner, Tim Mitchell, Michael L. Overton
Low-Order Control Design using a Reduced-Order Model with a Stability Constraint on the Full-Order Model. CDC (2018)
Frank E. Curtis, Tim Mitchell, Michael L. Overton
A BFGS-SQP method for nonsmooth, nonconvex, constrained optimization and its evaluation using relative minimization profiles. Optim. Methods Softw. 32 (1) (2017)
Julia Eaton, Sara Grundel, Mert Gürbüzbalaban, Michael L. Overton
Polynomial root radius optimization with affine constraints. Math. Program. 165 (2) (2017)
Nicola Guglielmi, Mert Gürbüzbalaban, Tim Mitchell, Michael L. Overton
Approximating the Real Structured Stability Radius with Frobenius-Norm Bounded Perturbations. SIAM J. Matrix Anal. Appl. 38 (4) (2017)
Anne Greenbaum, Adrian S. Lewis, Michael L. Overton
Variational analysis of the Crouzeix ratio. Math. Program. 164 (1-2) (2017)
Nicola Guglielmi, Michael L. Overton, G. W. Stewart
An Efficient Algorithm for Computing the Generalized Null Space Decomposition. SIAM J. Matrix Anal. Appl. 36 (1) (2015)
Immanuel M. Bomze, Michael L. Overton
Narrowing the difficulty gap for the Celis-Dennis-Tapia problem. Math. Program. 151 (2) (2015)
Christoph Helmberg, Michael L. Overton, Franz Rendl
The spectral bundle method with second-order information. Optim. Methods Softw. 29 (4) (2014)
Adrian S. Lewis, Michael L. Overton
Nonsmooth optimization via quasi-Newton methods. Math. Program. 141 (1-2) (2013)
Antonio Frangioni, Michael L. Overton, Claudia A. Sagastizábal
Preface. Math. Program. 140 (1) (2013)
Nicola Guglielmi, Mert Gürbüzbalaban, Michael L. Overton
Norm via Optimization over Spectral Value Sets. SIAM J. Matrix Anal. Appl. 34 (2) (2013)
Mert Gürbüzbalaban, Michael L. Overton
Some Regularity Results for the Pseudospectral Abscissa and Pseudospectral Radius of a Matrix. SIAM J. Optim. 22 (2) (2012)
Frank E. Curtis, Michael L. Overton
A Sequential Quadratic Programming Algorithm for Nonconvex, Nonsmooth Constrained Optimization. SIAM J. Optim. 22 (2) (2012)
Vincent D. Blondel, Mert Gürbüzbalaban, Alexandre Megretski, Michael L. Overton
Explicit Solutions for Root Optimization of a Polynomial Family With One Affine Constraint. IEEE Trans. Autom. Control. 57 (12) (2012)
Nicola Guglielmi, Michael L. Overton
Fast Algorithms for the Approximation of the Pseudospectral Abscissa and Pseudospectral Radius of a Matrix. SIAM J. Matrix Anal. Appl. 32 (4) (2011)
Vincent D. Blondel, Mert Gürbüzbalaban, Alexandre Megretski, Michael L. Overton
Explicit solutions for root optimization of a polynomial family. CDC (2010)
Suat Gumussoy, Michael L. Overton
Fixed-order H∞ controller design via HIFOO, a specialized nonsmooth optimization package. ACC (2008)
Suat Gumussoy, Marc Millstone, Michael L. Overton
strong stabilization via HIFOO, a package for fixed-order controller design. CDC (2008)
Mituhiro Fukuda, Bastiaan J. Braams, Maho Nakata, Michael L. Overton, Jerome K. Percus, Makoto Yamashita, Zhengji Zhao
Large-scale semidefinite programs in electronic structure calculation. Math. Program. 109 (2-3) (2007)
James V. Burke, Adrian S. Lewis, Michael L. Overton
Spectral conditioning and pseudospectral growth. Numerische Mathematik 107 (1) (2007)
Kranthi K. Gade, Michael L. Overton
Optimizing the asymptotic convergence rate of the Diaconis-Holmes-Neal sampler. Adv. Appl. Math. 38 (3) (2007)
James V. Burke, Adrian S. Lewis, Michael L. Overton
Convexity and Lipschitz Behavior of Small Pseudospectra. SIAM J. Matrix Anal. Appl. 29 (2) (2007)
Ming Gu, Michael L. Overton
. SIAM J. Matrix Anal. Appl. 28 (2) (2006)
James V. Burke, Didier Henrion, Adrian S. Lewis, Michael L. Overton
Stabilization via Nonsmooth, Nonconvex Optimization. IEEE Trans. Autom. Control. 51 (11) (2006)
Ming Gu, Emre Mengi, Michael L. Overton, J. Xia, J. Zhu
Fast Methods for Estimating the Distance to Uncontrollability. SIAM J. Matrix Anal. Appl. 28 (2) (2006)
Michael L. Overton
Survey and Review. SIAM Rev. 47 (4) (2005)
James V. Burke, Adrian S. Lewis, Michael L. Overton
A Robust Gradient Sampling Algorithm for Nonsmooth, Nonconvex Optimization. SIAM J. Optim. 15 (3) (2005)
Michael L. Overton, Paul Van Dooren
On computing the complex passivity radius. CDC/ECC (2005)
James V. Burke, Adrian S. Lewis, Michael L. Overton
Variational analysis of functions of the roots of polynomials. Math. Program. 104 (2-3) (2005)
James V. Burke, Adrian S. Lewis, Michael L. Overton
Pseudospectral Components and the Distance to Uncontrollability. SIAM J. Matrix Anal. Appl. 26 (2) (2004)
James V. Burke, Adrian S. Lewis, Michael L. Overton
Variational Analysis of the Abscissa Mapping for Polynomials via the Gauss-Lucas Theorem. J. Glob. Optim. 28 (3-4) (2004)
Bin Han, Michael L. Overton, Thomas P. Y. Yu
Design of Hermite Subdivision Schemes Aided by Spectral Radius Optimization. SIAM J. Sci. Comput. 25 (2) (2003)
James V. Burke, Adrian S. Lewis, Michael L. Overton
Optimization and Pseudospectra, with Applications to Robust Stability. SIAM J. Matrix Anal. Appl. 25 (1) (2003)
James V. Burke, Adrian S. Lewis, Michael L. Overton
Approximating Subdifferentials by Random Sampling of Gradients. Math. Oper. Res. 27 (3) (2002)
James V. Burke, Michael L. Overton
Variational analysis of non-Lipschitz spectral functions. Math. Program. 90 (2) (2001)
James V. Burke, Adrian S. Lewis, Michael L. Overton
Optimal Stability and Eigenvalue Multiplicity. Found. Comput. Math. 1 (2) (2001)
James V. Burke, Michael L. Overton
Variational Analysis of the Abscissa Mapping for Polynomials. SIAM J. Control. Optim. 39 (6) (2001)
Knud D. Andersen, Edmund Christiansen, Andrew R. Conn, Michael L. Overton
An Efficient Primal-Dual Interior-Point Method for Minimizing a Sum of Euclidean Norms. SIAM J. Sci. Comput. 22 (1) (2000)
Madhu V. Nayakkankuppam, Michael L. Overton
Conditioning of semidefinite programs. Math. Program. 85 (3) (1999)
Michael L. Overton, Robert B. Schnabel
Dedication. SIAM J. Optim. 9 (4) (1999)
Farid Alizadeh, Jean-Pierre A. Haeberly, Michael L. Overton
Primal-Dual Interior-Point Methods for Semidefinite Programming: Convergence Rates, Stability and Numerical Results. SIAM J. Optim. 8 (3) (1998)
Knud D. Andersen, Edmund Christiansen, Michael L. Overton
Computing Limit Loads by Minimizing a Sum of Norms. SIAM J. Sci. Comput. 19 (3) (1998)
Derek R. Dreyer, Michael L. Overton
Two Heuristics for the Euclidean Steiner Tree Problem. J. Glob. Optim. 13 (1) (1998)
Julio Moro, James V. Burke, Michael L. Overton
On the Lidskii-Vishik-Lyusternik Perturbation Theory for Eigenvalues of Matrices with Arbitrary Jordan Structure. SIAM J. Matrix Anal. Appl. 18 (4) (1997)
Farid Alizadeh, Jean-Pierre A. Haeberly, Michael L. Overton
Complementarity and nondegeneracy in semidefinite programming. Math. Program. 77 (1997)
Michael L. Overton, Henry Wolkowicz
Semidefinite Programming. Math. Program. 77 (1997)
Steven J. Cox, Michael L. Overton
Perturbing the Critically Damped Wave Equation. SIAM J. Appl. Math. 56 (5) (1996)
Michael L. Overton, Robert S. Womersley
Second Derivatives for Optimizing Eigenvalues of Symmetric Matrices. SIAM J. Matrix Anal. Appl. 16 (3) (1995)
Jean-Pierre A. Haeberly, Michael L. Overton
A Hybrid Algorithm for Optimizing Eigenvalues of Symmetric Definite Pencils. SIAM J. Matrix Anal. Appl. 15 (4) (1994)
Michael L. Overton, Robert S. Womersley
Optimality conditions and duality theory for minimizing sums of the largest eigenvalues of symmetric matrices. Math. Program. 62 (1993)
Michael L. Overton
Large-Scale Optimization of Eigenvalues. SIAM J. Optim. 2 (1) (1992)
Michael L. Overton, Robert S. Womersley
On the Sum of the Largest Eigenvalues of a Symmetric Matrix. SIAM J. Matrix Anal. Appl. 13 (1) (1992)
Chaya Gurwitz, Michael L. Overton
A Globally Convergent Algorithm for Minimizing Over the Rotation Group of Quadratic Forms. IEEE Trans. Pattern Anal. Mach. Intell. 11 (11) (1989)
Michael L. Overton
A quadratically convergent method for minimizing a sum of euclidean norms. Math. Program. 27 (1) (1983)
Gene H. Golub, Franklin T. Luk, Michael L. Overton
A Block Lanczos Method for Computing the Singular Values and Corresponding Singular Vectors of a Matrix. ACM Trans. Math. Softw. 7 (2) (1981)
Walter Murray, Michael L. Overton
Steplength algorithms for minimizing a class of nondifferentiable functions. Computing 23 (4) (1979)