Edit Profile (opens in new tab) Overton, Michael L. Compute Distance To: Compute Author ID: overton.michael-l Published as: Overton, Michael L.; Overton, M. L.; Overton, Michael more...less Documents Indexed: 101 Publications since 1979, including 2 Books 2 Contributions as Editor Co-Authors: 62 Co-Authors with 90 Joint Publications 1,913 Co-Co-Authors all top 5 Co-Authors 13 single-authored 21 Burke, James V. 18 Lewis, Adrian S. 6 Gürbüzbalaban, Mert 6 Haeberly, Jean-Pierre A. 4 Guglielmi, Nicola 4 Mitchell, Tim 4 Nocedal, Jorge 4 Womersley, Robert S. 3 Alizadeh, Farid 3 Golub, Gene Howard 3 Greenbaum, Anne 3 Gu, Ming 3 Murray, Walter 3 Nayakkankuppam, Madhu V. 2 Andersen, Knud D. 2 Asl, Azam 2 Christiansen, Edmund 2 Cox, Steven J. 2 Curtis, Frank E. 2 Friedland, Shmuel 2 Grundel, Sara M. 2 Mengi, Emre 2 Wolkowicz, Henry 1 Alam, Rafikul 1 Blondel, Vincent D. 1 Bomze, Immanuel M. 1 Bora, Shreemayee 1 Braams, Bastiaan J. 1 Byers, Ralph 1 Conn, Andrew Roger 1 Deng, Zhiming 1 Dreyer, Derek R. 1 Eaton, Julia 1 Frangioni, Antonio 1 Fukuda, Mituhiro 1 Gade, Kranthi K. 1 Gay, David M. 1 Greif, Chen 1 Gurwitz, Chaya Bleich 1 Han, Bin 1 Helmberg, Christoph 1 Henrion, Didier 1 Kirillov, Oleg N. 1 Li, Rencang 1 Luk, Franklin T. 1 Maddocks, John H. 1 Megretski, Alexandre 1 Moro, Julio 1 Nakata, Maho 1 Percus, Jerome K. 1 Proskurowski, Andrzej 1 Rendl, Franz 1 Schnabel, Robert B. 1 Sezginer, Renan Sezer 1 Stewart, Gilbert Wright 1 Wright, Margaret H. 1 Xia, Jianlin 1 Yamashita, Makoto 1 Ye, Xianjian 1 Yu, Thomas Pok-Yin 1 Zhao, Zhengji 1 Zhu, Jiang all top 5 Serials 16 SIAM Journal on Matrix Analysis and Applications 13 Mathematical Programming. Series A. Series B 6 SIAM Journal on Optimization 5 IMA Journal of Numerical Analysis 4 Linear Algebra and its Applications 4 Optimization Methods & Software 3 IEEE Transactions on Automatic Control 3 SIAM Journal on Scientific and Statistical Computing 3 SIAM Journal on Scientific Computing 2 Numerische Mathematik 2 SIAM Journal on Numerical Analysis 2 Journal of Global Optimization 1 Communications on Pure and Applied Mathematics 1 Quarterly Journal of Mechanics and Applied Mathematics 1 ACM Transactions on Mathematical Software 1 Calcolo 1 Computing 1 Mathematics of Operations Research 1 Mathematical Programming 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Proceedings of the American Mathematical Society 1 SIAM Journal on Control and Optimization 1 Advances in Applied Mathematics 1 SIAM Journal on Applied Mathematics 1 SIAM Journal on Mathematical Analysis 1 SIAM Review 1 ETNA. Electronic Transactions on Numerical Analysis 1 Foundations of Computational Mathematics 1 BIT. Nordisk Tidskrift for Informationsbehandling 1 Aportaciones Matematicas. Textos 1 Optimization Letters 1 Set-Valued and Variational Analysis 1 Nonlinear Analysis. Theory, Methods & Applications all top 5 Fields 61 Numerical analysis (65-XX) 48 Operations research, mathematical programming (90-XX) 30 Linear and multilinear algebra; matrix theory (15-XX) 21 Calculus of variations and optimal control; optimization (49-XX) 14 Systems theory; control (93-XX) 6 Ordinary differential equations (34-XX) 5 Mechanics of deformable solids (74-XX) 4 Operator theory (47-XX) 4 Computer science (68-XX) 2 General and overarching topics; collections (00-XX) 2 History and biography (01-XX) 2 Real functions (26-XX) 1 Combinatorics (05-XX) 1 Partial differential equations (35-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Difference and functional equations (39-XX) 1 Approximations and expansions (41-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Functional analysis (46-XX) 1 Probability theory and stochastic processes (60-XX) 1 Mechanics of particles and systems (70-XX) 1 Quantum theory (81-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 89 Publications have been cited 1,808 times in 1,309 Documents Cited by ▼ Year ▼ Primal-dual interior-point methods for semidefinite programming: Convergence rates, stability and numerical results. Zbl 0911.65047Alizadeh, Farid; Haeberly, Jean-Pierre A.; Overton, Michael L. 140 1998 A robust gradient sampling algorithm for nonsmooth, nonconvex optimization. Zbl 1078.65048Burke, James V.; Lewis, Adrian S.; Overton, Michael L. 126 2005 Nonsmooth optimization via quasi-Newton methods. Zbl 1280.90118Lewis, Adrian S.; Overton, Michael L. 85 2013 Complementarity and nondegeneracy in semidefinite programming. Zbl 0890.90141Alizadeh, Farid; Haeberly, Jean-Pierre A.; Overton, Michael L. 76 1997 Projected Hessian updating algorithms for nonlinearly constrained optimization. Zbl 0593.65043Nocedal, Jorge; Overton, Michael L. 69 1985 Large-scale optimization of eigenvalues. Zbl 0757.65072Overton, Michael L. 64 1992 The formulation and analysis of numerical methods for inverse eigenvalue problems. Zbl 0622.65030Friedland, S.; Nocedal, J.; Overton, M. L. 64 1987 Eigenvalue optimization. Zbl 0870.65047Lewis, Adrian S.; Overton, Michael L. 58 1996 On minimizing the maximum eigenvalue of a symmetric matrix. Zbl 0647.65044Overton, Michael L. 56 1988 Optimality conditions and duality theory for minimizing sums of the largest eigenvalues of symmetric matrices. Zbl 0806.90114Overton, M. L.; Womersley, R. S. 52 1993 On the Lidskii-Vishik-Lyusternik perturbation theory for eigenvalues of matrices with arbitrary Jordan structure. Zbl 0889.15016Moro, Julio; Burke, James V.; Overton, Michael L. 50 1997 A quadratically convergent method for minimizing a sum of Euclidean norms. Zbl 0536.65053Overton, Michael L. 43 1983 A projected Lagrangian algorithm for nonlinear minimax optimization. Zbl 0461.65052Murray, Walter; Overton, Michael L. 37 1980 A block Lanczos method for computing the singular values and corresponding singular vectors of a matrix. Zbl 0466.65022Golub, Gene H.; Luk, Franklin T.; Overton, Michael L. 37 1981 An efficient primal-dual interior-point method for minimizing a sum of Euclidean norms. Zbl 0966.65053Andersen, Knud D.; Christiansen, Edmund; Conn, Andrew R.; Overton, Michael L. 36 2000 A sequential quadratic programming algorithm for nonconvex, nonsmooth constrained optimization. Zbl 1246.49031Curtis, Frank E.; Overton, Michael L. 34 2012 Approximating subdifferentials by random sampling of gradients. Zbl 1082.49019Burke, J. V.; Lewis, A. S.; Overton, M. L. 34 2002 The convergence of inexact Chebyshev and Richardson iterative methods for solving linear systems. Zbl 0661.65033Golub, Gene H.; Overton, Michael L. 32 1988 Fast algorithms for the approximation of the pseudospectral abscissa and pseudospectral radius of a matrix. Zbl 1248.65034Guglielmi, Nicola; Overton, Michael L. 31 2011 On the sum of the largest eigenvalues of a symmetric matrix. Zbl 0747.15005Overton, Michael L.; Womersley, Robert S. 30 1992 Second derivatives for optimizing eigenvalues of symmetric matrices. Zbl 0832.65036Overton, Michael L.; Womersley, Robert S. 29 1995 On the optimal design of columns against buckling. Zbl 0793.73070Cox, Steven J.; Overton, Michael L. 28 1992 Numerical computing with IEEE floating point arithmetic. Incl. one theorem, one rule of thumb, and one hundred and one exercises. Zbl 0981.68057Overton, Michael L. 28 2001 A primal-dual interior method for nonconvex nonlinear programming. Zbl 0908.90236Gay, David M.; Overton, Michael L.; Wright, Margaret H. 26 1998 A new primal-dual interior-point method for semidefinite programming. Zbl 0819.65098Alizadeh, Farid; Haeberly, Jean-Pierre A.; Overton, Michael L. 25 1994 A BFGS-SQP method for nonsmooth, nonconvex, constrained optimization and its evaluation using relative minimization profiles. Zbl 1364.90359Curtis, Frank E.; Mitchell, Tim; Overton, Michael L. 25 2017 Computing limit loads by minimizing a sum of norms. Zbl 0924.73074Andersen, Knud D.; Christiansen, Edmund; Overton, Michael L. 24 1998 On minimizing the spectral radius of a nonsymmetric matrix function: Optimality conditions and duality theory. Zbl 0684.65062Overton, Michael L.; Womersley, Robert S. 22 1988 Stabilization via nonsmooth, nonconvex optimization. Zbl 1366.93490Burke, James V.; Henrion, Didier; Lewis, Adrian S.; Overton, Michael L. 21 2006 Narrowing the difficulty gap for the Celis-Dennis-Tapia problem. Zbl 1328.90095Bomze, Immanuel M.; Overton, Michael L. 21 2015 Optimal stability and eigenvalue multiplicity. Zbl 0994.15022Burke, J. V.; Lewis, A. S.; Overton, M. L. 21 2001 Two numerical methods for optimizing matrix stability. Zbl 1005.65041Burke, James V.; Lewis, Adrian S.; Overton, Michael L. 19 2002 Fast approximation of the \(H_\infty\) norm via optimization over spectral value sets. Zbl 1271.93057Guglielmi, Nicola; Gürbüzbalaban, Mert; Overton, Michael L. 17 2013 Robust stability and a criss-cross algorithm for pseudospectra. Zbl 1042.65060Burke, J. V.; Lewis, A. S.; Overton, M. L. 17 2003 On Nesterov’s nonsmooth Chebyshev-Rosenbrock functions. Zbl 1269.49018Gürbüzbalaban, Mert; Overton, Michael L. 16 2012 Fast methods for estimating the distance to uncontrollability. Zbl 1115.65069Gu, M.; Mengi, E.; Overton, M. L.; Xia, J.; Zhu, J. 16 2006 Pseudospectral components and the distance to uncontrollability. Zbl 1078.93008Burke, J. V.; Lewis, A. S.; Overton, M. L. 15 2004 Algorithm for the computation of the pseudospectral radius and the numerical radius of a matrix. Zbl 1082.65043Mengi, Emre; Overton, Michael L. 15 2005 Optimizing matrix stability. Zbl 0965.15020Burke, J. V.; Lewis, A. S.; Overton, M. L. 14 2001 Variational analysis of non-Lipschitz spectral functions. Zbl 0988.15005Burke, James V.; Overton, Michael L. 13 2001 Optimization and pseudospectra, with applications to robust stability. Zbl 1061.15007Burke, J. V.; Lewis, A. S.; Overton, M. L. 13 2003 Conditioning of semidefinite programs. Zbl 0973.90056Nayakkankuppam, Madhu V.; Overton, Michael L. 12 1999 A projected Lagrangian algorithm for nonlinear \(l_ 1\) optimization. Zbl 0468.65036Murray, Walter; Overton, Michael L. 12 1981 An efficient algorithm for computing the generalized null space decomposition. Zbl 1327.65072Guglielmi, Nicola; Overton, Michael L.; Stewart, G. W. 11 2015 Stability theory for dissipatively perturbed Hamiltonian systems. Zbl 0828.70010Maddocks, John H.; Overton, Michael L. 10 1995 Stable perturbations of nonsymmetric matrices. Zbl 0756.15023Burke, James V.; Overton, Michael L. 10 1992 Steplength algorithms for minimizing a class of nondifferentiable functions. Zbl 0445.65060Murray, W.; Overton, M. L. 9 1979 Design of Hermite subdivision schemes aided by spectral radius optimization. Zbl 1037.42035Han, Bin; Overton, Michael L.; Yu, Thomas P.-Y. 9 2003 Large-scale semidefinite programs in electronic structure calculation. Zbl 1278.90495Fukuda, Mituhiro; Braams, Bastiaan J.; Nakata, Maho; Overton, Michael L.; Percus, Jerome K.; Yamashita, Makoto; Zhao, Zhengji 9 2007 First-order perturbation theory for eigenvalues and eigenvectors. Zbl 07207347Greenbaum, Anne; Li, Ren-Cang; Overton, Michael L. 9 2020 The largest singular value of \(e^ XA_ 0e^{-X}\) is convex on convex sets of commuting matrices. Zbl 0704.93023Sezginer, Renan Sezer; Overton, Michael L. 9 1990 Differential properties of the spectral abscissa and the spectral radius for analytic matrix-valued mappings. Zbl 0815.47007Burke, James V.; Overton, Michael L. 8 1994 Characterization and construction of the nearest defective matrix via coalescence of pseudospectral components. Zbl 1228.65062Alam, Rafikul; Bora, Shreemayee; Byers, Ralph; Overton, Michael L. 8 2011 Hybrid expansion-contraction: a robust scaleable method for approximating the \(H_{\infty}\) norm. Zbl 1433.93100Mitchell, Tim; Overton, Michael L. 7 2016 Towards second-order methods for structured nonsmooth optimization. Zbl 0821.90106Overton, Michael L.; Ye, Xianjian 6 1994 Perturbing the critically damped wave equation. Zbl 0866.35062Cox, Steven J.; Overton, Michael L. 6 1996 Explicit solutions for root optimization of a polynomial family with one affine constraint. Zbl 1369.93220Blondel, Vincent D.; Gürbüzbalaban, Mert; Megretski, Alexandre; Overton, Michael L. 6 2012 The spectral bundle method with second-order information. Zbl 1306.90118Helmberg, C.; Overton, M. L.; Rendl, F. 6 2014 Sequential quadratic programming methods based on approximating a projected Hessian matrix. Zbl 0686.65033Gurwitz, Chaya Bleich; Overton, Michael L. 6 1989 Foreword to: Semidefinite programming. Zbl 0899.90135Overton, Michael; Wolkowitz, Henry 5 1997 Variational analysis of the abscissa mapping for polynomials via the Gauss-Lucas theorem. Zbl 1134.49309Burke, James V.; Lewis, Adrian S.; Overton, Michael L. 5 2004 Variational analysis of the Crouzeix ratio. Zbl 1376.15015Greenbaum, Anne; Lewis, Adrian S.; Overton, Michael L. 4 2017 Four quadratically convergent methods for solving inverse eigenvalue problems. Zbl 0642.65025Friedland, S.; Nocedal, J.; Overton, M. L. 4 1986 Variational analysis of functions of the roots of polynomials. Zbl 1093.90078Burke, James V.; Lewis, Adrian S.; Overton, Michael L. 4 2005 The speed of Shor’s r-algorithm. Zbl 1185.90166Burke, J. V.; Lewis, A. S.; Overton, M. L. 4 2008 Numerical investigation of Crouzeix’s conjecture. Zbl 1415.15021Greenbaum, Anne; Overton, Michael L. 4 2018 Optimizing the asymptotic convergence rate of the Diaconis-Holmes-Neal sampler. Zbl 1156.60058Gade, Kranthi K.; Overton, Michael L. 4 2007 A hybrid algorithm for optimizing eigenvalues of symmetric definite pencils. Zbl 0808.65036Haeberly, Jean-Pierre A.; Overton, Michael L. 3 1994 Extending Mehrotra and Gondzio higher order methods to mixed semidefinite-quadratic-linear programming. Zbl 0957.90102Haeberly, Jean-Pierre; Nayakkankuppam, Madhu V.; Overton, Michael L. 3 1999 Variational analysis of the abscissa mapping for polynomials. Zbl 0997.49015Burke, James V.; Overton, Michael L. 3 2001 Convergence of a two-stage Richardson iterative procedure for solving systems of linear equations. Zbl 0477.65023Golub, Gene H.; Overton, Michael L. 3 1982 An analysis of low-rank modifications of preconditioners for saddle point systems. Zbl 1205.65142Greif, Chen; Overton, Michael L. 3 2010 Two heuristics for the Euclidean Steiner tree problem. Zbl 0909.90199Dreyer, Derek R.; Overton, Michael L. 3 1998 Analysis of the gradient method with an Armijo-Wolfe line search on a class of non-smooth convex functions. Zbl 1437.90124Asl, Azam; Overton, Michael L. 3 2020 Spectral conditioning and pseudospectral growth. Zbl 1124.15004Burke, J. V.; Lewis, A. S.; Overton, M. L. 3 2007 On the subdifferentiability of functions of a matrix spectrum. II: Subdifferential formulas. Zbl 1050.49506Burke, J. V.; Overton, M. L. 2 1992 On minimizing the maximum eigenvalue of a symmetric matrix. Zbl 0669.65052Overton, Michael L. 2 1988 An algorithm to compute Sep\(_{\lambda}\). Zbl 1113.65031Gu, Ming; Overton, Michael L. 2 2006 Approximating the real structured stability radius with Frobenius-norm bounded perturbations. Zbl 1379.65040Guglielmi, N.; Gürbüzbalaban, M.; Mitchell, T.; Overton, M. L. 2 2017 Variational analysis of the spectral abscissa at a matrix with a nongeneric multiple eigenvalue. Zbl 1301.49037Grundel, Sara; Overton, Michael L. 1 2014 Partial smoothness of the numerical radius at matrices whose fields of values are disks. Zbl 1456.49017Lewis, A. S.; Overton, M. L. 1 2020 Analysis of limited-memory BFGS on a class of nonsmooth convex functions. Zbl 1464.65060Asl, Azam; Overton, Michael L. 1 2021 Mixed semidefinite-quadratic-linear programs. Zbl 1031.90021Haeberly, Jean-Pierre A.; Nayakkankuppam, Madhu V.; Overton, Michael L. 1 2000 On the subdifferentiability of functions of a matrix spectrum. I: Mathematical foundations. Zbl 1050.49505Burke, J. V.; Overton, M. L. 1 1992 Canonical incidence matrices of graphs. Zbl 0415.68029Overton, Michael L.; Proskurowski, Andrzej 1 1979 Some regularity results for the pseudospectral abscissa and pseudospectral radius of a matrix. Zbl 1253.15010Gürbüzbalaban, Mert; Overton, Michael L. 1 2012 Convexity and Lipschitz behavior of small pseudospectra. Zbl 1153.15013Burke, J. V.; Lewis, A. S.; Overton, M. L. 1 2007 Semidefinite programming. Dedicated to the memory of Svatopluk Polyak. Zbl 0880.00035 1 1997 Numerical solution of a model problem from collapse load analysis. Zbl 0585.73060Overton, Michael L. 1 1984 Analysis of limited-memory BFGS on a class of nonsmooth convex functions. Zbl 1464.65060Asl, Azam; Overton, Michael L. 1 2021 First-order perturbation theory for eigenvalues and eigenvectors. Zbl 07207347Greenbaum, Anne; Li, Ren-Cang; Overton, Michael L. 9 2020 Analysis of the gradient method with an Armijo-Wolfe line search on a class of non-smooth convex functions. Zbl 1437.90124Asl, Azam; Overton, Michael L. 3 2020 Partial smoothness of the numerical radius at matrices whose fields of values are disks. Zbl 1456.49017Lewis, A. S.; Overton, M. L. 1 2020 Numerical investigation of Crouzeix’s conjecture. Zbl 1415.15021Greenbaum, Anne; Overton, Michael L. 4 2018 A BFGS-SQP method for nonsmooth, nonconvex, constrained optimization and its evaluation using relative minimization profiles. Zbl 1364.90359Curtis, Frank E.; Mitchell, Tim; Overton, Michael L. 25 2017 Variational analysis of the Crouzeix ratio. Zbl 1376.15015Greenbaum, Anne; Lewis, Adrian S.; Overton, Michael L. 4 2017 Approximating the real structured stability radius with Frobenius-norm bounded perturbations. Zbl 1379.65040Guglielmi, N.; Gürbüzbalaban, M.; Mitchell, T.; Overton, M. L. 2 2017 Hybrid expansion-contraction: a robust scaleable method for approximating the \(H_{\infty}\) norm. Zbl 1433.93100Mitchell, Tim; Overton, Michael L. 7 2016 Narrowing the difficulty gap for the Celis-Dennis-Tapia problem. Zbl 1328.90095Bomze, Immanuel M.; Overton, Michael L. 21 2015 An efficient algorithm for computing the generalized null space decomposition. Zbl 1327.65072Guglielmi, Nicola; Overton, Michael L.; Stewart, G. W. 11 2015 The spectral bundle method with second-order information. Zbl 1306.90118Helmberg, C.; Overton, M. L.; Rendl, F. 6 2014 Variational analysis of the spectral abscissa at a matrix with a nongeneric multiple eigenvalue. Zbl 1301.49037Grundel, Sara; Overton, Michael L. 1 2014 Nonsmooth optimization via quasi-Newton methods. Zbl 1280.90118Lewis, Adrian S.; Overton, Michael L. 85 2013 Fast approximation of the \(H_\infty\) norm via optimization over spectral value sets. Zbl 1271.93057Guglielmi, Nicola; Gürbüzbalaban, Mert; Overton, Michael L. 17 2013 A sequential quadratic programming algorithm for nonconvex, nonsmooth constrained optimization. Zbl 1246.49031Curtis, Frank E.; Overton, Michael L. 34 2012 On Nesterov’s nonsmooth Chebyshev-Rosenbrock functions. Zbl 1269.49018Gürbüzbalaban, Mert; Overton, Michael L. 16 2012 Explicit solutions for root optimization of a polynomial family with one affine constraint. Zbl 1369.93220Blondel, Vincent D.; Gürbüzbalaban, Mert; Megretski, Alexandre; Overton, Michael L. 6 2012 Some regularity results for the pseudospectral abscissa and pseudospectral radius of a matrix. Zbl 1253.15010Gürbüzbalaban, Mert; Overton, Michael L. 1 2012 Fast algorithms for the approximation of the pseudospectral abscissa and pseudospectral radius of a matrix. Zbl 1248.65034Guglielmi, Nicola; Overton, Michael L. 31 2011 Characterization and construction of the nearest defective matrix via coalescence of pseudospectral components. Zbl 1228.65062Alam, Rafikul; Bora, Shreemayee; Byers, Ralph; Overton, Michael L. 8 2011 An analysis of low-rank modifications of preconditioners for saddle point systems. Zbl 1205.65142Greif, Chen; Overton, Michael L. 3 2010 The speed of Shor’s r-algorithm. Zbl 1185.90166Burke, J. V.; Lewis, A. S.; Overton, M. L. 4 2008 Large-scale semidefinite programs in electronic structure calculation. Zbl 1278.90495Fukuda, Mituhiro; Braams, Bastiaan J.; Nakata, Maho; Overton, Michael L.; Percus, Jerome K.; Yamashita, Makoto; Zhao, Zhengji 9 2007 Optimizing the asymptotic convergence rate of the Diaconis-Holmes-Neal sampler. Zbl 1156.60058Gade, Kranthi K.; Overton, Michael L. 4 2007 Spectral conditioning and pseudospectral growth. Zbl 1124.15004Burke, J. V.; Lewis, A. S.; Overton, M. L. 3 2007 Convexity and Lipschitz behavior of small pseudospectra. Zbl 1153.15013Burke, J. V.; Lewis, A. S.; Overton, M. L. 1 2007 Stabilization via nonsmooth, nonconvex optimization. Zbl 1366.93490Burke, James V.; Henrion, Didier; Lewis, Adrian S.; Overton, Michael L. 21 2006 Fast methods for estimating the distance to uncontrollability. Zbl 1115.65069Gu, M.; Mengi, E.; Overton, M. L.; Xia, J.; Zhu, J. 16 2006 An algorithm to compute Sep\(_{\lambda}\). Zbl 1113.65031Gu, Ming; Overton, Michael L. 2 2006 A robust gradient sampling algorithm for nonsmooth, nonconvex optimization. Zbl 1078.65048Burke, James V.; Lewis, Adrian S.; Overton, Michael L. 126 2005 Algorithm for the computation of the pseudospectral radius and the numerical radius of a matrix. Zbl 1082.65043Mengi, Emre; Overton, Michael L. 15 2005 Variational analysis of functions of the roots of polynomials. Zbl 1093.90078Burke, James V.; Lewis, Adrian S.; Overton, Michael L. 4 2005 Pseudospectral components and the distance to uncontrollability. Zbl 1078.93008Burke, J. V.; Lewis, A. S.; Overton, M. L. 15 2004 Variational analysis of the abscissa mapping for polynomials via the Gauss-Lucas theorem. Zbl 1134.49309Burke, James V.; Lewis, Adrian S.; Overton, Michael L. 5 2004 Robust stability and a criss-cross algorithm for pseudospectra. Zbl 1042.65060Burke, J. V.; Lewis, A. S.; Overton, M. L. 17 2003 Optimization and pseudospectra, with applications to robust stability. Zbl 1061.15007Burke, J. V.; Lewis, A. S.; Overton, M. L. 13 2003 Design of Hermite subdivision schemes aided by spectral radius optimization. Zbl 1037.42035Han, Bin; Overton, Michael L.; Yu, Thomas P.-Y. 9 2003 Approximating subdifferentials by random sampling of gradients. Zbl 1082.49019Burke, J. V.; Lewis, A. S.; Overton, M. L. 34 2002 Two numerical methods for optimizing matrix stability. Zbl 1005.65041Burke, James V.; Lewis, Adrian S.; Overton, Michael L. 19 2002 Numerical computing with IEEE floating point arithmetic. Incl. one theorem, one rule of thumb, and one hundred and one exercises. Zbl 0981.68057Overton, Michael L. 28 2001 Optimal stability and eigenvalue multiplicity. Zbl 0994.15022Burke, J. V.; Lewis, A. S.; Overton, M. L. 21 2001 Optimizing matrix stability. Zbl 0965.15020Burke, J. V.; Lewis, A. S.; Overton, M. L. 14 2001 Variational analysis of non-Lipschitz spectral functions. Zbl 0988.15005Burke, James V.; Overton, Michael L. 13 2001 Variational analysis of the abscissa mapping for polynomials. Zbl 0997.49015Burke, James V.; Overton, Michael L. 3 2001 An efficient primal-dual interior-point method for minimizing a sum of Euclidean norms. Zbl 0966.65053Andersen, Knud D.; Christiansen, Edmund; Conn, Andrew R.; Overton, Michael L. 36 2000 Mixed semidefinite-quadratic-linear programs. Zbl 1031.90021Haeberly, Jean-Pierre A.; Nayakkankuppam, Madhu V.; Overton, Michael L. 1 2000 Conditioning of semidefinite programs. Zbl 0973.90056Nayakkankuppam, Madhu V.; Overton, Michael L. 12 1999 Extending Mehrotra and Gondzio higher order methods to mixed semidefinite-quadratic-linear programming. Zbl 0957.90102Haeberly, Jean-Pierre; Nayakkankuppam, Madhu V.; Overton, Michael L. 3 1999 Primal-dual interior-point methods for semidefinite programming: Convergence rates, stability and numerical results. Zbl 0911.65047Alizadeh, Farid; Haeberly, Jean-Pierre A.; Overton, Michael L. 140 1998 A primal-dual interior method for nonconvex nonlinear programming. Zbl 0908.90236Gay, David M.; Overton, Michael L.; Wright, Margaret H. 26 1998 Computing limit loads by minimizing a sum of norms. Zbl 0924.73074Andersen, Knud D.; Christiansen, Edmund; Overton, Michael L. 24 1998 Two heuristics for the Euclidean Steiner tree problem. Zbl 0909.90199Dreyer, Derek R.; Overton, Michael L. 3 1998 Complementarity and nondegeneracy in semidefinite programming. Zbl 0890.90141Alizadeh, Farid; Haeberly, Jean-Pierre A.; Overton, Michael L. 76 1997 On the Lidskii-Vishik-Lyusternik perturbation theory for eigenvalues of matrices with arbitrary Jordan structure. Zbl 0889.15016Moro, Julio; Burke, James V.; Overton, Michael L. 50 1997 Foreword to: Semidefinite programming. Zbl 0899.90135Overton, Michael; Wolkowitz, Henry 5 1997 Semidefinite programming. Dedicated to the memory of Svatopluk Polyak. Zbl 0880.00035 1 1997 Eigenvalue optimization. Zbl 0870.65047Lewis, Adrian S.; Overton, Michael L. 58 1996 Perturbing the critically damped wave equation. Zbl 0866.35062Cox, Steven J.; Overton, Michael L. 6 1996 Second derivatives for optimizing eigenvalues of symmetric matrices. Zbl 0832.65036Overton, Michael L.; Womersley, Robert S. 29 1995 Stability theory for dissipatively perturbed Hamiltonian systems. Zbl 0828.70010Maddocks, John H.; Overton, Michael L. 10 1995 A new primal-dual interior-point method for semidefinite programming. Zbl 0819.65098Alizadeh, Farid; Haeberly, Jean-Pierre A.; Overton, Michael L. 25 1994 Differential properties of the spectral abscissa and the spectral radius for analytic matrix-valued mappings. Zbl 0815.47007Burke, James V.; Overton, Michael L. 8 1994 Towards second-order methods for structured nonsmooth optimization. Zbl 0821.90106Overton, Michael L.; Ye, Xianjian 6 1994 A hybrid algorithm for optimizing eigenvalues of symmetric definite pencils. Zbl 0808.65036Haeberly, Jean-Pierre A.; Overton, Michael L. 3 1994 Optimality conditions and duality theory for minimizing sums of the largest eigenvalues of symmetric matrices. Zbl 0806.90114Overton, M. L.; Womersley, R. S. 52 1993 Large-scale optimization of eigenvalues. Zbl 0757.65072Overton, Michael L. 64 1992 On the sum of the largest eigenvalues of a symmetric matrix. Zbl 0747.15005Overton, Michael L.; Womersley, Robert S. 30 1992 On the optimal design of columns against buckling. Zbl 0793.73070Cox, Steven J.; Overton, Michael L. 28 1992 Stable perturbations of nonsymmetric matrices. Zbl 0756.15023Burke, James V.; Overton, Michael L. 10 1992 On the subdifferentiability of functions of a matrix spectrum. II: Subdifferential formulas. Zbl 1050.49506Burke, J. V.; Overton, M. L. 2 1992 On the subdifferentiability of functions of a matrix spectrum. I: Mathematical foundations. Zbl 1050.49505Burke, J. V.; Overton, M. L. 1 1992 The largest singular value of \(e^ XA_ 0e^{-X}\) is convex on convex sets of commuting matrices. Zbl 0704.93023Sezginer, Renan Sezer; Overton, Michael L. 9 1990 Sequential quadratic programming methods based on approximating a projected Hessian matrix. Zbl 0686.65033Gurwitz, Chaya Bleich; Overton, Michael L. 6 1989 On minimizing the maximum eigenvalue of a symmetric matrix. Zbl 0647.65044Overton, Michael L. 56 1988 The convergence of inexact Chebyshev and Richardson iterative methods for solving linear systems. Zbl 0661.65033Golub, Gene H.; Overton, Michael L. 32 1988 On minimizing the spectral radius of a nonsymmetric matrix function: Optimality conditions and duality theory. Zbl 0684.65062Overton, Michael L.; Womersley, Robert S. 22 1988 On minimizing the maximum eigenvalue of a symmetric matrix. Zbl 0669.65052Overton, Michael L. 2 1988 The formulation and analysis of numerical methods for inverse eigenvalue problems. Zbl 0622.65030Friedland, S.; Nocedal, J.; Overton, M. L. 64 1987 Four quadratically convergent methods for solving inverse eigenvalue problems. Zbl 0642.65025Friedland, S.; Nocedal, J.; Overton, M. L. 4 1986 Projected Hessian updating algorithms for nonlinearly constrained optimization. Zbl 0593.65043Nocedal, Jorge; Overton, Michael L. 69 1985 Numerical solution of a model problem from collapse load analysis. Zbl 0585.73060Overton, Michael L. 1 1984 A quadratically convergent method for minimizing a sum of Euclidean norms. Zbl 0536.65053Overton, Michael L. 43 1983 Convergence of a two-stage Richardson iterative procedure for solving systems of linear equations. Zbl 0477.65023Golub, Gene H.; Overton, Michael L. 3 1982 A block Lanczos method for computing the singular values and corresponding singular vectors of a matrix. Zbl 0466.65022Golub, Gene H.; Luk, Franklin T.; Overton, Michael L. 37 1981 A projected Lagrangian algorithm for nonlinear \(l_ 1\) optimization. Zbl 0468.65036Murray, Walter; Overton, Michael L. 12 1981 A projected Lagrangian algorithm for nonlinear minimax optimization. Zbl 0461.65052Murray, Walter; Overton, Michael L. 37 1980 Steplength algorithms for minimizing a class of nondifferentiable functions. Zbl 0445.65060Murray, W.; Overton, M. L. 9 1979 Canonical incidence matrices of graphs. Zbl 0415.68029Overton, Michael L.; Proskurowski, Andrzej 1 1979 all cited Publications top 5 cited Publications all top 5 Cited by 1,786 Authors 26 Overton, Michael L. 22 Zhu, Detong 19 Lewis, Adrian S. 14 Noll, Dominikus 13 Guglielmi, Nicola 11 Apkarian, Pierre 11 Burke, James V. 11 Li, Chong 10 Le Van Canh 10 Michiels, Wim 10 Pang, Liping 9 Benner, Peter 9 Mitchell, Tim 9 Toh, Kim Chuan 9 Wolkowicz, Henry 9 Yao, Jen-Chih 8 Drusvyatskiy, Dmitriy 8 Huang, Ming 8 Jarre, Florian 8 Jian, Jinbao 8 Mengi, Emre 8 Shen, Weiping 8 Watson, G. Alistair 7 Gaudioso, Manlio 7 Griewank, Andreas 7 Kressner, Daniel 7 Liu, Hongwei 7 Mahdavi-Amiri, Nezam 7 Nguyen-Xuan, Hung 7 Sun, Defeng 7 Szyld, Daniel B. 7 Teo, Kok Lay 7 Yang, Xiaoqi 6 Bagirov, Adil M. 6 Ding, Chao 6 Kojima, Masakazu 6 Mehrmann, Volker 6 Pan, Shaohua 6 Rustem, Berc 6 Santos, Sandra Augusta 6 Sun, Jie 6 Terlaky, Tamás 6 Van Dooren, Paul M. 6 Walther, Andrea 6 Yu, Thomas Pok-Yin 6 Zhang, Jianzhong 5 Atanackovic, Teodor M. 5 Bai, Zhengjian 5 Bai, Zhongzhi 5 Bora, Shreemayee 5 Boyd, Stephen Poythress 5 Coleman, Thomas F. 5 Fan, Michael Ko-Hui 5 Golub, Gene Howard 5 Greenbaum, Anne 5 Jin, Xiaoqing 5 Kanzow, Christian 5 Monteiro, Renato D. C. 5 Moro, Julio 5 Nakata, Kazuhide 5 Nobakhtian, Soghra 5 Qi, Houduo 5 Reichel, Lothar 5 Rendl, Franz 5 Roos, Cornelis 5 Salahi, Maziar 5 Sendov, Hristo S. 5 Simões, Lucas Eduardo Azevedo 5 Takeda, Akiko 5 Tang, Chunming 5 Xia, Zunquan 5 Xu, Chengxian 5 Ye, Jane J. 5 Yousefpour, Rohollah 5 Zhang, Liwei 4 Alam, Rafikul 4 Askes, Harm 4 Bomze, Immanuel M. 4 Chu, Moody T. 4 Curtis, Frank E. 4 Dai, Hua 4 Dax, Achiya 4 Gilbert, Jean Charles 4 Gu, Chao 4 Hare, Warren L. 4 Helou, Elias Salomão 4 Henrion, Didier 4 Ioffe, Alexander Davidovich 4 Kheirfam, Behrouz 4 Kirillov, Oleg N. 4 Lubich, Christian 4 Nakatsukasa, Yuji 4 Nesterov, Yurii 4 Niculescu, Silviu-Iulian 4 O’Leary, Dianne P. 4 Polak, Elijah (Lucien) 4 Potra, Florian-Alexandru 4 Schulz, Volker H. 4 Seeger, Alberto 4 Simoncini, Valeria ...and 1,686 more Authors all top 5 Cited in 238 Serials 90 Mathematical Programming. Series A. Series B 88 Linear Algebra and its Applications 71 Journal of Optimization Theory and Applications 51 Journal of Computational and Applied Mathematics 49 Optimization Methods & Software 48 SIAM Journal on Optimization 40 Computational Optimization and Applications 39 SIAM Journal on Matrix Analysis and Applications 32 Applied Mathematics and Computation 32 Optimization 29 Numerical Algorithms 23 Systems & Control Letters 21 Numerische Mathematik 21 Journal of Global Optimization 19 Applied Numerical Mathematics 19 SIAM Journal on Scientific Computing 17 Automatica 16 International Journal for Numerical Methods in Engineering 15 European Journal of Operational Research 14 BIT 14 Optimization Letters 13 Mathematical Programming 11 International Journal of Control 11 Journal of Mathematical Analysis and Applications 11 International Journal of Computer Mathematics 10 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 10 Journal of Industrial and Management Optimization 9 Computers & Mathematics with Applications 9 Journal of Computational Physics 8 Computer Methods in Applied Mechanics and Engineering 8 Annals of Operations Research 8 Mathematical Methods of Operations Research 8 Set-Valued and Variational Analysis 7 Linear and Multilinear Algebra 7 Numerical Functional Analysis and Optimization 7 Operations Research Letters 7 Mathematical Problems in Engineering 7 European Journal of Mechanics. A. Solids 6 Computing 6 Journal of Differential Equations 6 Acta Mathematicae Applicatae Sinica. English Series 6 Applied Mathematical Modelling 6 Numerical Linear Algebra with Applications 6 Advances in Computational Mathematics 6 Optimization and Engineering 6 Journal of Systems Science and Complexity 6 Structural and Multidisciplinary Optimization 5 Mathematics of Computation 5 Calcolo 5 Applied Mathematics and Mechanics. (English Edition) 5 MCSS. Mathematics of Control, Signals, and Systems 5 Computational and Applied Mathematics 5 RAIRO. Operations Research 5 Journal of Machine Learning Research (JMLR) 5 Comptes Rendus. Mathématique. Académie des Sciences, Paris 5 Journal of Applied Mathematics and Computing 4 Asia-Pacific Journal of Operational Research 4 International Journal of Robust and Nonlinear Control 4 Top 4 European Journal of Control 4 The ANZIAM Journal 4 Mathematical Programming Computation 4 Numerical Algebra, Control and Optimization 3 Archive for Rational Mechanics and Analysis 3 Mathematics and Computers in Simulation 3 Mathematics of Operations Research 3 SIAM Journal on Control and Optimization 3 SIAM Journal on Numerical Analysis 3 Discrete & Computational Geometry 3 Computers & Operations Research 3 Applied Mathematics Letters 3 SIAM Review 3 Journal of Mathematical Sciences (New York) 3 Journal of Convex Analysis 3 Engineering Analysis with Boundary Elements 3 Acta Mathematica Sinica. English Series 3 Discrete and Continuous Dynamical Systems. Series B 3 International Journal of Computational Methods 3 Journal of the Operations Research Society of China 3 East Asian Journal on Applied Mathematics 3 Nonlinear Analysis. Theory, Methods & Applications 2 Acta Mechanica 2 International Journal of Solids and Structures 2 Journal of Engineering Mathematics 2 ZAMP. Zeitschrift für angewandte Mathematik und Physik 2 The Mathematical Intelligencer 2 Applied Mathematics and Optimization 2 Journal of the American Statistical Association 2 Journal of Functional Analysis 2 Journal of Soviet Mathematics 2 Journal of Statistical Planning and Inference 2 Meccanica 2 Proceedings of the American Mathematical Society 2 Transactions of the American Mathematical Society 2 Mathematica Numerica Sinica 2 Computer Aided Geometric Design 2 RAIRO. Modélisation Mathématique et Analyse Numérique 2 Computational Mechanics 2 Mathematical and Computer Modelling 2 Journal of Scientific Computing ...and 138 more Serials all top 5 Cited in 53 Fields 726 Operations research, mathematical programming (90-XX) 565 Numerical analysis (65-XX) 227 Calculus of variations and optimal control; optimization (49-XX) 193 Linear and multilinear algebra; matrix theory (15-XX) 125 Systems theory; control (93-XX) 87 Mechanics of deformable solids (74-XX) 48 Computer science (68-XX) 47 Partial differential equations (35-XX) 42 Statistics (62-XX) 41 Operator theory (47-XX) 38 Ordinary differential equations (34-XX) 18 Convex and discrete geometry (52-XX) 17 Combinatorics (05-XX) 17 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 16 Approximations and expansions (41-XX) 15 Fluid mechanics (76-XX) 14 Mechanics of particles and systems (70-XX) 13 Probability theory and stochastic processes (60-XX) 12 Information and communication theory, circuits (94-XX) 11 Algebraic geometry (14-XX) 11 Dynamical systems and ergodic theory (37-XX) 10 Global analysis, analysis on manifolds (58-XX) 9 Functional analysis (46-XX) 7 Real functions (26-XX) 7 Quantum theory (81-XX) 6 Biology and other natural sciences (92-XX) 5 Functions of a complex variable (30-XX) 5 Differential geometry (53-XX) 5 Statistical mechanics, structure of matter (82-XX) 4 Nonassociative rings and algebras (17-XX) 4 Special functions (33-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 4 Optics, electromagnetic theory (78-XX) 3 Several complex variables and analytic spaces (32-XX) 3 Mathematics education (97-XX) 2 General and overarching topics; collections (00-XX) 2 History and biography (01-XX) 2 Field theory and polynomials (12-XX) 2 Sequences, series, summability (40-XX) 2 Manifolds and cell complexes (57-XX) 2 Geophysics (86-XX) 1 Number theory (11-XX) 1 Commutative algebra (13-XX) 1 Category theory; homological algebra (18-XX) 1 Topological groups, Lie groups (22-XX) 1 Measure and integration (28-XX) 1 Difference and functional equations (39-XX) 1 Integral transforms, operational calculus (44-XX) 1 Integral equations (45-XX) 1 Geometry (51-XX) 1 General topology (54-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Astronomy and astrophysics (85-XX) Citations by Year