Steplength algorithms for minimizing a class of nondifferentiable functions. - Walter Murray; Michael L. Overton (Computing, 1979)

Projected Lagrangian algorithms for nonlinear minimax and l₁ optimization. - Michael L. Overton (1979)

A Block Lanczos Method for Computing the Singular Values and Corresponding Singular Vectors of a Matrix. - Gene H. Golub; Franklin T. Luk; Michael L. Overton (ACM Trans. Math. Softw., 1981)

A quadratically convergent method for minimizing a sum of euclidean norms. - Michael L. Overton (Math. Program., 1983)

A Globally Convergent Algorithm for Minimizing Over the Rotation Group of Quadratic Forms. - Chaya Gurwitz; Michael L. Overton (IEEE Trans. Pattern Anal. Mach. Intell., 1989)

Large-Scale Optimization of Eigenvalues. - Michael L. Overton (SIAM J. Optim., 1992)

On the Sum of the Largest Eigenvalues of a Symmetric Matrix. - Michael L. Overton; Robert S. Womersley (SIAM J. Matrix Anal. Appl., 1992)

Optimality conditions and duality theory for minimizing sums of the largest eigenvalues of symmetric matrices. - Michael L. Overton; Robert S. Womersley (Math. Program., 1993)

A Hybrid Algorithm for Optimizing Eigenvalues of Symmetric Definite Pencils. - Jean-Pierre A. Haeberly; Michael L. Overton (SIAM J. Matrix Anal. Appl., 1994)

Second Derivatives for Optimizing Eigenvalues of Symmetric Matrices. - Michael L. Overton; Robert S. Womersley (SIAM J. Matrix Anal. Appl., 1995)

Perturbing the Critically Damped Wave Equation. - Steven J. Cox; Michael L. Overton (SIAM J. Appl. Math., 1996)

Complementarity and nondegeneracy in semidefinite programming. - Farid Alizadeh; Jean-Pierre A. Haeberly; Michael L. Overton (Math. Program., 1997)

Semidefinite Programming. - Michael L. Overton; Henry Wolkowicz (Math. Program., 1997)

On the Lidskii-Vishik-Lyusternik Perturbation Theory for Eigenvalues of Matrices with Arbitrary Jordan Structure. - Julio Moro; James V. Burke; Michael L. Overton (SIAM J. Matrix Anal. Appl., 1997)

Two Heuristics for the Euclidean Steiner Tree Problem. - Derek R. Dreyer; Michael L. Overton (J. Glob. Optim., 1998)

Primal-Dual Interior-Point Methods for Semidefinite Programming: Convergence Rates, Stability and Numerical Results. - Farid Alizadeh; Jean-Pierre A. Haeberly; Michael L. Overton (SIAM J. Optim., 1998)

Computing Limit Loads by Minimizing a Sum of Norms. - Knud D. Andersen; Edmund Christiansen; Michael L. Overton (SIAM J. Sci. Comput., 1998)

Conditioning of semidefinite programs. - Madhu V. Nayakkankuppam; Michael L. Overton (Math. Program., 1999)

Dedication. - Michael L. Overton; Robert B. Schnabel (SIAM J. Optim., 1999)

An Efficient Primal-Dual Interior-Point Method for Minimizing a Sum of Euclidean Norms. - Knud D. Andersen; Edmund Christiansen; Andrew R. Conn; Michael L. Overton (SIAM J. Sci. Comput., 2000)

Numerical computing with IEEE floating point arithmetic - including one theorem, one rule of thumb, and one hundred and one exercices. - Michael L. Overton (SIAM, 2001)

Optimal Stability and Eigenvalue Multiplicity. - James V. Burke; Adrian S. Lewis; Michael L. Overton (Found. Comput. Math., 2001)

Variational analysis of non-Lipschitz spectral functions. - James V. Burke; Michael L. Overton (Math. Program., 2001)

Variational Analysis of the Abscissa Mapping for Polynomials. - James V. Burke; Michael L. Overton (SIAM J. Control. Optim., 2001)

Approximating Subdifferentials by Random Sampling of Gradients. - James V. Burke; Adrian S. Lewis; Michael L. Overton (Math. Oper. Res., 2002)

Optimization and Pseudospectra, with Applications to Robust Stability. - James V. Burke; Adrian S. Lewis; Michael L. Overton (SIAM J. Matrix Anal. Appl., 2003)

Design of Hermite Subdivision Schemes Aided by Spectral Radius Optimization. - Bin Han 003; Michael L. Overton; Thomas P. Y. Yu (SIAM J. Sci. Comput., 2003)

Variational Analysis of the Abscissa Mapping for Polynomials via the Gauss-Lucas Theorem. - James V. Burke; Adrian S. Lewis; Michael L. Overton (J. Glob. Optim., 2004)

Pseudospectral Components and the Distance to Uncontrollability. - James V. Burke; Adrian S. Lewis; Michael L. Overton (SIAM J. Matrix Anal. Appl., 2004)

On computing the complex passivity radius. - Michael L. Overton; Paul Van Dooren (CDC/ECC, 2005)

Variational analysis of functions of the roots of polynomials. - James V. Burke; Adrian S. Lewis; Michael L. Overton (Math. Program., 2005)

A Robust Gradient Sampling Algorithm for Nonsmooth, Nonconvex Optimization. - James V. Burke; Adrian S. Lewis; Michael L. Overton (SIAM J. Optim., 2005)

Survey and Review. - Michael L. Overton (SIAM Rev., 2005)

Fast Methods for Estimating the Distance to Uncontrollability. - Ming Gu 002; Emre Mengi; Michael L. Overton; Jianlin Xia; Jiang Zhu (SIAM J. Matrix Anal. Appl., 2006)

An Algorithm to Compute Sepλ. - Ming Gu 002; Michael L. Overton (SIAM J. Matrix Anal. Appl., 2006)

Stabilization via Nonsmooth, Nonconvex Optimization. - James V. Burke; Didier Henrion; Adrian S. Lewis; Michael L. Overton (IEEE Trans. Autom. Control., 2006)

Optimizing the asymptotic convergence rate of the Diaconis-Holmes-Neal sampler. - Kranthi K. Gade; Michael L. Overton (Adv. Appl. Math., 2007)

Large-scale semidefinite programs in electronic structure calculation. - Mituhiro Fukuda; Bastiaan J. Braams; Maho Nakata; Michael L. Overton; Jerome K. Percus; Makoto Yamashita; Zhengji Zhao (Math. Program., 2007)

Spectral conditioning and pseudospectral growth. - James V. Burke; Adrian S. Lewis; Michael L. Overton (Numerische Mathematik, 2007)

Convexity and Lipschitz Behavior of Small Pseudospectra. - James V. Burke; Adrian S. Lewis; Michael L. Overton (SIAM J. Matrix Anal. Appl., 2007)

Fixed-order H∞ controller design via HIFOO, a specialized nonsmooth optimization package. - Suat Gumussoy; Michael L. Overton (ACC, 2008)

Hinfinity strong stabilization via HIFOO, a package for fixed-order controller design. - Suat Gumussoy; Marc Millstone; Michael L. Overton (CDC, 2008)

Explicit solutions for root optimization of a polynomial family. - Vincent D. Blondel; Mert Gürbüzbalaban; Alexandre Megretski; Michael L. Overton (CDC, 2010)

Fast Algorithms for the Approximation of the Pseudospectral Abscissa and Pseudospectral Radius of a Matrix. - Nicola Guglielmi; Michael L. Overton (SIAM J. Matrix Anal. Appl., 2011)

A Sequential Quadratic Programming Algorithm for Nonconvex, Nonsmooth Constrained Optimization. - Frank E. Curtis; Michael L. Overton (SIAM J. Optim., 2012)

Some Regularity Results for the Pseudospectral Abscissa and Pseudospectral Radius of a Matrix. - Mert Gürbüzbalaban; Michael L. Overton (SIAM J. Optim., 2012)

Explicit Solutions for Root Optimization of a Polynomial Family With One Affine Constraint. - Vincent D. Blondel; Mert Gürbüzbalaban; Alexandre Megretski; Michael L. Overton (IEEE Trans. Autom. Control., 2012)

Preface. - Antonio Frangioni; Michael L. Overton; Claudia A. Sagastizábal (Math. Program., 2013)

Nonsmooth optimization via quasi-Newton methods. - Adrian S. Lewis; Michael L. Overton (Math. Program., 2013)

Fast Approximation of the HINFINITY Norm via Optimization over Spectral Value Sets. - Nicola Guglielmi; Mert Gürbüzbalaban; Michael L. Overton (SIAM J. Matrix Anal. Appl., 2013)

The spectral bundle method with second-order information. - Christoph Helmberg; Michael L. Overton; Franz Rendl (Optim. Methods Softw., 2014)

Narrowing the difficulty gap for the Celis-Dennis-Tapia problem. - Immanuel M. Bomze; Michael L. Overton (Math. Program., 2015)

An Efficient Algorithm for Computing the Generalized Null Space Decomposition. - Nicola Guglielmi; Michael L. Overton; G. W. Stewart (SIAM J. Matrix Anal. Appl., 2015)

Polynomial root radius optimization with affine constraints. - Julia Eaton; Sara Grundel; Mert Gürbüzbalaban; Michael L. Overton (Math. Program., 2017)

Variational analysis of the Crouzeix ratio. - Anne Greenbaum; Adrian S. Lewis; Michael L. Overton (Math. Program., 2017)

A BFGS-SQP method for nonsmooth, nonconvex, constrained optimization and its evaluation using relative minimization profiles. - Frank E. Curtis; Tim Mitchell; Michael L. Overton (Optim. Methods Softw., 2017)

Approximating the Real Structured Stability Radius with Frobenius-Norm Bounded Perturbations. - Nicola Guglielmi; Mert Gürbüzbalaban; Tim Mitchell; Michael L. Overton (SIAM J. Matrix Anal. Appl., 2017)

Low-Order Control Design using a Reduced-Order Model with a Stability Constraint on the Full-Order Model. - Peter Benner; Tim Mitchell; Michael L. Overton (CDC, 2018)

Fixed-Order H-infinity Controller Design via HIFOO, a Specialized Nonsmooth Optimization Package. - Suat Gumussoy; Michael L. Overton (CoRR, 2020)

H-infinity Strong Stabilization via HIFOO, a Package for Fixed-Order Controller Design. - Suat Gumussoy; Marc Millstone; Michael L. Overton (CoRR, 2020)

Finding the strongest stable weightless column with a follower load and relocatable concentrated masses. - Oleg N. Kirillov; Michael L. Overton (CoRR, 2020)

Analysis of the gradient method with an Armijo-Wolfe line search on a class of non-smooth convex functions. - Azam Asl; Michael L. Overton (Optim. Methods Softw., 2020)

Partial Smoothness of the Numerical Radius at Matrices Whose Fields of Values are Disks. - Adrian S. Lewis; Michael L. Overton (SIAM J. Matrix Anal. Appl., 2020)

First-Order Perturbation Theory for Eigenvalues and Eigenvectors. - Anne Greenbaum; Ren-Cang Li; Michael L. Overton (SIAM Rev., 2020)

Local Minimizers of the Crouzeix Ratio: A Nonsmooth Optimization Case Study. - Michael L. Overton (CoRR, 2021)

Multi-fidelity robust controller design with gradient sampling. - Steffen W. R. Werner; Michael L. Overton; Benjamin Peherstorfer (CoRR, 2022)

On properties of univariate max functions at local maximizers. - Tim Mitchell; Michael L. Overton (Optim. Lett., 2022)

On the Choice of Sign Defining Householder Transformations. - Michael L. Overton; Pinze Yu (CoRR, 2023)

An Experimental Comparison of Methods for Computing the Numerical Radius. - Tim Mitchell; Michael L. Overton (CoRR, 2023)

Multifidelity Robust Controller Design with Gradient Sampling. - Steffen W. R. Werner; Michael L. Overton; Benjamin Peherstorfer (SIAM J. Sci. Comput., 2023)