## Overton, Michael L.

Compute Distance To:
 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
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### 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
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### 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)

### 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 0911.65047
Alizadeh, Farid; Haeberly, Jean-Pierre A.; Overton, Michael L.
1998
A robust gradient sampling algorithm for nonsmooth, nonconvex optimization. Zbl 1078.65048
Burke, James V.; Lewis, Adrian S.; Overton, Michael L.
2005
Nonsmooth optimization via quasi-Newton methods. Zbl 1280.90118
Lewis, Adrian S.; Overton, Michael L.
2013
Complementarity and nondegeneracy in semidefinite programming. Zbl 0890.90141
Alizadeh, Farid; Haeberly, Jean-Pierre A.; Overton, Michael L.
1997
Projected Hessian updating algorithms for nonlinearly constrained optimization. Zbl 0593.65043
Nocedal, Jorge; Overton, Michael L.
1985
Large-scale optimization of eigenvalues. Zbl 0757.65072
Overton, Michael L.
1992
The formulation and analysis of numerical methods for inverse eigenvalue problems. Zbl 0622.65030
Friedland, S.; Nocedal, J.; Overton, M. L.
1987
Eigenvalue optimization. Zbl 0870.65047
Lewis, Adrian S.; Overton, Michael L.
1996
On minimizing the maximum eigenvalue of a symmetric matrix. Zbl 0647.65044
Overton, Michael L.
1988
Optimality conditions and duality theory for minimizing sums of the largest eigenvalues of symmetric matrices. Zbl 0806.90114
Overton, M. L.; Womersley, R. S.
1993
On the Lidskii-Vishik-Lyusternik perturbation theory for eigenvalues of matrices with arbitrary Jordan structure. Zbl 0889.15016
Moro, Julio; Burke, James V.; Overton, Michael L.
1997
A quadratically convergent method for minimizing a sum of Euclidean norms. Zbl 0536.65053
Overton, Michael L.
1983
A projected Lagrangian algorithm for nonlinear minimax optimization. Zbl 0461.65052
Murray, Walter; Overton, Michael L.
1980
A block Lanczos method for computing the singular values and corresponding singular vectors of a matrix. Zbl 0466.65022
Golub, Gene H.; Luk, Franklin T.; Overton, Michael L.
1981
An efficient primal-dual interior-point method for minimizing a sum of Euclidean norms. Zbl 0966.65053
Andersen, Knud D.; Christiansen, Edmund; Conn, Andrew R.; Overton, Michael L.
2000
A sequential quadratic programming algorithm for nonconvex, nonsmooth constrained optimization. Zbl 1246.49031
Curtis, Frank E.; Overton, Michael L.
2012
Approximating subdifferentials by random sampling of gradients. Zbl 1082.49019
Burke, J. V.; Lewis, A. S.; Overton, M. L.
2002
The convergence of inexact Chebyshev and Richardson iterative methods for solving linear systems. Zbl 0661.65033
Golub, Gene H.; Overton, Michael L.
1988
Fast algorithms for the approximation of the pseudospectral abscissa and pseudospectral radius of a matrix. Zbl 1248.65034
Guglielmi, Nicola; Overton, Michael L.
2011
On the sum of the largest eigenvalues of a symmetric matrix. Zbl 0747.15005
Overton, Michael L.; Womersley, Robert S.
1992
Second derivatives for optimizing eigenvalues of symmetric matrices. Zbl 0832.65036
Overton, Michael L.; Womersley, Robert S.
1995
On the optimal design of columns against buckling. Zbl 0793.73070
Cox, Steven J.; Overton, Michael L.
1992
Numerical computing with IEEE floating point arithmetic. Incl. one theorem, one rule of thumb, and one hundred and one exercises. Zbl 0981.68057
Overton, Michael L.
2001
A primal-dual interior method for nonconvex nonlinear programming. Zbl 0908.90236
Gay, David M.; Overton, Michael L.; Wright, Margaret H.
1998
A new primal-dual interior-point method for semidefinite programming. Zbl 0819.65098
Alizadeh, Farid; Haeberly, Jean-Pierre A.; Overton, Michael L.
1994
A BFGS-SQP method for nonsmooth, nonconvex, constrained optimization and its evaluation using relative minimization profiles. Zbl 1364.90359
Curtis, Frank E.; Mitchell, Tim; Overton, Michael L.
2017
Computing limit loads by minimizing a sum of norms. Zbl 0924.73074
Andersen, Knud D.; Christiansen, Edmund; Overton, Michael L.
1998
On minimizing the spectral radius of a nonsymmetric matrix function: Optimality conditions and duality theory. Zbl 0684.65062
Overton, Michael L.; Womersley, Robert S.
1988
Stabilization via nonsmooth, nonconvex optimization. Zbl 1366.93490
Burke, James V.; Henrion, Didier; Lewis, Adrian S.; Overton, Michael L.
2006
Narrowing the difficulty gap for the Celis-Dennis-Tapia problem. Zbl 1328.90095
Bomze, Immanuel M.; Overton, Michael L.
2015
Optimal stability and eigenvalue multiplicity. Zbl 0994.15022
Burke, J. V.; Lewis, A. S.; Overton, M. L.
2001
Two numerical methods for optimizing matrix stability. Zbl 1005.65041
Burke, James V.; Lewis, Adrian S.; Overton, Michael L.
2002
Fast approximation of the $$H_\infty$$ norm via optimization over spectral value sets. Zbl 1271.93057
Guglielmi, Nicola; Gürbüzbalaban, Mert; Overton, Michael L.
2013
Robust stability and a criss-cross algorithm for pseudospectra. Zbl 1042.65060
Burke, J. V.; Lewis, A. S.; Overton, M. L.
2003
On Nesterov’s nonsmooth Chebyshev-Rosenbrock functions. Zbl 1269.49018
Gürbüzbalaban, Mert; Overton, Michael L.
2012
Fast methods for estimating the distance to uncontrollability. Zbl 1115.65069
Gu, M.; Mengi, E.; Overton, M. L.; Xia, J.; Zhu, J.
2006
Pseudospectral components and the distance to uncontrollability. Zbl 1078.93008
Burke, J. V.; Lewis, A. S.; Overton, M. L.
2004
Algorithm for the computation of the pseudospectral radius and the numerical radius of a matrix. Zbl 1082.65043
Mengi, Emre; Overton, Michael L.
2005
Optimizing matrix stability. Zbl 0965.15020
Burke, J. V.; Lewis, A. S.; Overton, M. L.
2001
Variational analysis of non-Lipschitz spectral functions. Zbl 0988.15005
Burke, James V.; Overton, Michael L.
2001
Optimization and pseudospectra, with applications to robust stability. Zbl 1061.15007
Burke, J. V.; Lewis, A. S.; Overton, M. L.
2003
Conditioning of semidefinite programs. Zbl 0973.90056
Nayakkankuppam, Madhu V.; Overton, Michael L.
1999
A projected Lagrangian algorithm for nonlinear $$l_ 1$$ optimization. Zbl 0468.65036
Murray, Walter; Overton, Michael L.
1981
An efficient algorithm for computing the generalized null space decomposition. Zbl 1327.65072
Guglielmi, Nicola; Overton, Michael L.; Stewart, G. W.
2015
Stability theory for dissipatively perturbed Hamiltonian systems. Zbl 0828.70010
Maddocks, John H.; Overton, Michael L.
1995
Stable perturbations of nonsymmetric matrices. Zbl 0756.15023
Burke, James V.; Overton, Michael L.
1992
Steplength algorithms for minimizing a class of nondifferentiable functions. Zbl 0445.65060
Murray, W.; Overton, M. L.
1979
Design of Hermite subdivision schemes aided by spectral radius optimization. Zbl 1037.42035
Han, Bin; Overton, Michael L.; Yu, Thomas P.-Y.
2003
Large-scale semidefinite programs in electronic structure calculation. Zbl 1278.90495
Fukuda, Mituhiro; Braams, Bastiaan J.; Nakata, Maho; Overton, Michael L.; Percus, Jerome K.; Yamashita, Makoto; Zhao, Zhengji
2007
First-order perturbation theory for eigenvalues and eigenvectors. Zbl 07207347
Greenbaum, Anne; Li, Ren-Cang; Overton, Michael L.
2020
The largest singular value of $$e^ XA_ 0e^{-X}$$ is convex on convex sets of commuting matrices. Zbl 0704.93023
Sezginer, Renan Sezer; Overton, Michael L.
1990
Differential properties of the spectral abscissa and the spectral radius for analytic matrix-valued mappings. Zbl 0815.47007
Burke, James V.; Overton, Michael L.
1994
Characterization and construction of the nearest defective matrix via coalescence of pseudospectral components. Zbl 1228.65062
Alam, Rafikul; Bora, Shreemayee; Byers, Ralph; Overton, Michael L.
2011
Hybrid expansion-contraction: a robust scaleable method for approximating the $$H_{\infty}$$ norm. Zbl 1433.93100
Mitchell, Tim; Overton, Michael L.
2016
Towards second-order methods for structured nonsmooth optimization. Zbl 0821.90106
Overton, Michael L.; Ye, Xianjian
1994
Perturbing the critically damped wave equation. Zbl 0866.35062
Cox, Steven J.; Overton, Michael L.
1996
Explicit solutions for root optimization of a polynomial family with one affine constraint. Zbl 1369.93220
Blondel, Vincent D.; Gürbüzbalaban, Mert; Megretski, Alexandre; Overton, Michael L.
2012
The spectral bundle method with second-order information. Zbl 1306.90118
Helmberg, C.; Overton, M. L.; Rendl, F.
2014
Sequential quadratic programming methods based on approximating a projected Hessian matrix. Zbl 0686.65033
Gurwitz, Chaya Bleich; Overton, Michael L.
1989
Foreword to: Semidefinite programming. Zbl 0899.90135
Overton, Michael; Wolkowitz, Henry
1997
Variational analysis of the abscissa mapping for polynomials via the Gauss-Lucas theorem. Zbl 1134.49309
Burke, James V.; Lewis, Adrian S.; Overton, Michael L.
2004
Variational analysis of the Crouzeix ratio. Zbl 1376.15015
Greenbaum, Anne; Lewis, Adrian S.; Overton, Michael L.
2017
Four quadratically convergent methods for solving inverse eigenvalue problems. Zbl 0642.65025
Friedland, S.; Nocedal, J.; Overton, M. L.
1986
Variational analysis of functions of the roots of polynomials. Zbl 1093.90078
Burke, James V.; Lewis, Adrian S.; Overton, Michael L.
2005
The speed of Shor’s r-algorithm. Zbl 1185.90166
Burke, J. V.; Lewis, A. S.; Overton, M. L.
2008
Numerical investigation of Crouzeix’s conjecture. Zbl 1415.15021
Greenbaum, Anne; Overton, Michael L.
2018
Optimizing the asymptotic convergence rate of the Diaconis-Holmes-Neal sampler. Zbl 1156.60058
Gade, Kranthi K.; Overton, Michael L.
2007
A hybrid algorithm for optimizing eigenvalues of symmetric definite pencils. Zbl 0808.65036
Haeberly, Jean-Pierre A.; Overton, Michael L.
1994
Extending Mehrotra and Gondzio higher order methods to mixed semidefinite-quadratic-linear programming. Zbl 0957.90102
Haeberly, Jean-Pierre; Nayakkankuppam, Madhu V.; Overton, Michael L.
1999
Variational analysis of the abscissa mapping for polynomials. Zbl 0997.49015
Burke, James V.; Overton, Michael L.
2001
Convergence of a two-stage Richardson iterative procedure for solving systems of linear equations. Zbl 0477.65023
Golub, Gene H.; Overton, Michael L.
1982
An analysis of low-rank modifications of preconditioners for saddle point systems. Zbl 1205.65142
Greif, Chen; Overton, Michael L.
2010
Two heuristics for the Euclidean Steiner tree problem. Zbl 0909.90199
Dreyer, Derek R.; Overton, Michael L.
1998
Analysis of the gradient method with an Armijo-Wolfe line search on a class of non-smooth convex functions. Zbl 1437.90124
Asl, Azam; Overton, Michael L.
2020
Spectral conditioning and pseudospectral growth. Zbl 1124.15004
Burke, J. V.; Lewis, A. S.; Overton, M. L.
2007
On the subdifferentiability of functions of a matrix spectrum. II: Subdifferential formulas. Zbl 1050.49506
Burke, J. V.; Overton, M. L.
1992
On minimizing the maximum eigenvalue of a symmetric matrix. Zbl 0669.65052
Overton, Michael L.
1988
An algorithm to compute Sep$$_{\lambda}$$. Zbl 1113.65031
Gu, Ming; Overton, Michael L.
2006
Approximating the real structured stability radius with Frobenius-norm bounded perturbations. Zbl 1379.65040
Guglielmi, N.; Gürbüzbalaban, M.; Mitchell, T.; Overton, M. L.
2017
Variational analysis of the spectral abscissa at a matrix with a nongeneric multiple eigenvalue. Zbl 1301.49037
Grundel, Sara; Overton, Michael L.
2014
Partial smoothness of the numerical radius at matrices whose fields of values are disks. Zbl 1456.49017
Lewis, A. S.; Overton, M. L.
2020
Analysis of limited-memory BFGS on a class of nonsmooth convex functions. Zbl 1464.65060
Asl, Azam; Overton, Michael L.
2021
Haeberly, Jean-Pierre A.; Nayakkankuppam, Madhu V.; Overton, Michael L.
2000
On the subdifferentiability of functions of a matrix spectrum. I: Mathematical foundations. Zbl 1050.49505
Burke, J. V.; Overton, M. L.
1992
Canonical incidence matrices of graphs. Zbl 0415.68029
Overton, Michael L.; Proskurowski, Andrzej
1979
Some regularity results for the pseudospectral abscissa and pseudospectral radius of a matrix. Zbl 1253.15010
Gürbüzbalaban, Mert; Overton, Michael L.
2012
Convexity and Lipschitz behavior of small pseudospectra. Zbl 1153.15013
Burke, J. V.; Lewis, A. S.; Overton, M. L.
2007
Semidefinite programming. Dedicated to the memory of Svatopluk Polyak. Zbl 0880.00035
1997
Numerical solution of a model problem from collapse load analysis. Zbl 0585.73060
Overton, Michael L.
1984
Analysis of limited-memory BFGS on a class of nonsmooth convex functions. Zbl 1464.65060
Asl, Azam; Overton, Michael L.
2021
First-order perturbation theory for eigenvalues and eigenvectors. Zbl 07207347
Greenbaum, Anne; Li, Ren-Cang; Overton, Michael L.
2020
Analysis of the gradient method with an Armijo-Wolfe line search on a class of non-smooth convex functions. Zbl 1437.90124
Asl, Azam; Overton, Michael L.
2020
Partial smoothness of the numerical radius at matrices whose fields of values are disks. Zbl 1456.49017
Lewis, A. S.; Overton, M. L.
2020
Numerical investigation of Crouzeix’s conjecture. Zbl 1415.15021
Greenbaum, Anne; Overton, Michael L.
2018
A BFGS-SQP method for nonsmooth, nonconvex, constrained optimization and its evaluation using relative minimization profiles. Zbl 1364.90359
Curtis, Frank E.; Mitchell, Tim; Overton, Michael L.
2017
Variational analysis of the Crouzeix ratio. Zbl 1376.15015
Greenbaum, Anne; Lewis, Adrian S.; Overton, Michael L.
2017
Approximating the real structured stability radius with Frobenius-norm bounded perturbations. Zbl 1379.65040
Guglielmi, N.; Gürbüzbalaban, M.; Mitchell, T.; Overton, M. L.
2017
Hybrid expansion-contraction: a robust scaleable method for approximating the $$H_{\infty}$$ norm. Zbl 1433.93100
Mitchell, Tim; Overton, Michael L.
2016
Narrowing the difficulty gap for the Celis-Dennis-Tapia problem. Zbl 1328.90095
Bomze, Immanuel M.; Overton, Michael L.
2015
An efficient algorithm for computing the generalized null space decomposition. Zbl 1327.65072
Guglielmi, Nicola; Overton, Michael L.; Stewart, G. W.
2015
The spectral bundle method with second-order information. Zbl 1306.90118
Helmberg, C.; Overton, M. L.; Rendl, F.
2014
Variational analysis of the spectral abscissa at a matrix with a nongeneric multiple eigenvalue. Zbl 1301.49037
Grundel, Sara; Overton, Michael L.
2014
Nonsmooth optimization via quasi-Newton methods. Zbl 1280.90118
Lewis, Adrian S.; Overton, Michael L.
2013
Fast approximation of the $$H_\infty$$ norm via optimization over spectral value sets. Zbl 1271.93057
Guglielmi, Nicola; Gürbüzbalaban, Mert; Overton, Michael L.
2013
A sequential quadratic programming algorithm for nonconvex, nonsmooth constrained optimization. Zbl 1246.49031
Curtis, Frank E.; Overton, Michael L.
2012
On Nesterov’s nonsmooth Chebyshev-Rosenbrock functions. Zbl 1269.49018
Gürbüzbalaban, Mert; Overton, Michael L.
2012
Explicit solutions for root optimization of a polynomial family with one affine constraint. Zbl 1369.93220
Blondel, Vincent D.; Gürbüzbalaban, Mert; Megretski, Alexandre; Overton, Michael L.
2012
Some regularity results for the pseudospectral abscissa and pseudospectral radius of a matrix. Zbl 1253.15010
Gürbüzbalaban, Mert; Overton, Michael L.
2012
Fast algorithms for the approximation of the pseudospectral abscissa and pseudospectral radius of a matrix. Zbl 1248.65034
Guglielmi, Nicola; Overton, Michael L.
2011
Characterization and construction of the nearest defective matrix via coalescence of pseudospectral components. Zbl 1228.65062
Alam, Rafikul; Bora, Shreemayee; Byers, Ralph; Overton, Michael L.
2011
An analysis of low-rank modifications of preconditioners for saddle point systems. Zbl 1205.65142
Greif, Chen; Overton, Michael L.
2010
The speed of Shor’s r-algorithm. Zbl 1185.90166
Burke, J. V.; Lewis, A. S.; Overton, M. L.
2008
Large-scale semidefinite programs in electronic structure calculation. Zbl 1278.90495
Fukuda, Mituhiro; Braams, Bastiaan J.; Nakata, Maho; Overton, Michael L.; Percus, Jerome K.; Yamashita, Makoto; Zhao, Zhengji
2007
Optimizing the asymptotic convergence rate of the Diaconis-Holmes-Neal sampler. Zbl 1156.60058
Gade, Kranthi K.; Overton, Michael L.
2007
Spectral conditioning and pseudospectral growth. Zbl 1124.15004
Burke, J. V.; Lewis, A. S.; Overton, M. L.
2007
Convexity and Lipschitz behavior of small pseudospectra. Zbl 1153.15013
Burke, J. V.; Lewis, A. S.; Overton, M. L.
2007
Stabilization via nonsmooth, nonconvex optimization. Zbl 1366.93490
Burke, James V.; Henrion, Didier; Lewis, Adrian S.; Overton, Michael L.
2006
Fast methods for estimating the distance to uncontrollability. Zbl 1115.65069
Gu, M.; Mengi, E.; Overton, M. L.; Xia, J.; Zhu, J.
2006
An algorithm to compute Sep$$_{\lambda}$$. Zbl 1113.65031
Gu, Ming; Overton, Michael L.
2006
A robust gradient sampling algorithm for nonsmooth, nonconvex optimization. Zbl 1078.65048
Burke, James V.; Lewis, Adrian S.; Overton, Michael L.
2005
Algorithm for the computation of the pseudospectral radius and the numerical radius of a matrix. Zbl 1082.65043
Mengi, Emre; Overton, Michael L.
2005
Variational analysis of functions of the roots of polynomials. Zbl 1093.90078
Burke, James V.; Lewis, Adrian S.; Overton, Michael L.
2005
Pseudospectral components and the distance to uncontrollability. Zbl 1078.93008
Burke, J. V.; Lewis, A. S.; Overton, M. L.
2004
Variational analysis of the abscissa mapping for polynomials via the Gauss-Lucas theorem. Zbl 1134.49309
Burke, James V.; Lewis, Adrian S.; Overton, Michael L.
2004
Robust stability and a criss-cross algorithm for pseudospectra. Zbl 1042.65060
Burke, J. V.; Lewis, A. S.; Overton, M. L.
2003
Optimization and pseudospectra, with applications to robust stability. Zbl 1061.15007
Burke, J. V.; Lewis, A. S.; Overton, M. L.
2003
Design of Hermite subdivision schemes aided by spectral radius optimization. Zbl 1037.42035
Han, Bin; Overton, Michael L.; Yu, Thomas P.-Y.
2003
Approximating subdifferentials by random sampling of gradients. Zbl 1082.49019
Burke, J. V.; Lewis, A. S.; Overton, M. L.
2002
Two numerical methods for optimizing matrix stability. Zbl 1005.65041
Burke, James V.; Lewis, Adrian S.; Overton, Michael L.
2002
Numerical computing with IEEE floating point arithmetic. Incl. one theorem, one rule of thumb, and one hundred and one exercises. Zbl 0981.68057
Overton, Michael L.
2001
Optimal stability and eigenvalue multiplicity. Zbl 0994.15022
Burke, J. V.; Lewis, A. S.; Overton, M. L.
2001
Optimizing matrix stability. Zbl 0965.15020
Burke, J. V.; Lewis, A. S.; Overton, M. L.
2001
Variational analysis of non-Lipschitz spectral functions. Zbl 0988.15005
Burke, James V.; Overton, Michael L.
2001
Variational analysis of the abscissa mapping for polynomials. Zbl 0997.49015
Burke, James V.; Overton, Michael L.
2001
An efficient primal-dual interior-point method for minimizing a sum of Euclidean norms. Zbl 0966.65053
Andersen, Knud D.; Christiansen, Edmund; Conn, Andrew R.; Overton, Michael L.
2000
Haeberly, Jean-Pierre A.; Nayakkankuppam, Madhu V.; Overton, Michael L.
2000
Conditioning of semidefinite programs. Zbl 0973.90056
Nayakkankuppam, Madhu V.; Overton, Michael L.
1999
Extending Mehrotra and Gondzio higher order methods to mixed semidefinite-quadratic-linear programming. Zbl 0957.90102
Haeberly, Jean-Pierre; Nayakkankuppam, Madhu V.; Overton, Michael L.
1999
Primal-dual interior-point methods for semidefinite programming: Convergence rates, stability and numerical results. Zbl 0911.65047
Alizadeh, Farid; Haeberly, Jean-Pierre A.; Overton, Michael L.
1998
A primal-dual interior method for nonconvex nonlinear programming. Zbl 0908.90236
Gay, David M.; Overton, Michael L.; Wright, Margaret H.
1998
Computing limit loads by minimizing a sum of norms. Zbl 0924.73074
Andersen, Knud D.; Christiansen, Edmund; Overton, Michael L.
1998
Two heuristics for the Euclidean Steiner tree problem. Zbl 0909.90199
Dreyer, Derek R.; Overton, Michael L.
1998
Complementarity and nondegeneracy in semidefinite programming. Zbl 0890.90141
Alizadeh, Farid; Haeberly, Jean-Pierre A.; Overton, Michael L.
1997
On the Lidskii-Vishik-Lyusternik perturbation theory for eigenvalues of matrices with arbitrary Jordan structure. Zbl 0889.15016
Moro, Julio; Burke, James V.; Overton, Michael L.
1997
Foreword to: Semidefinite programming. Zbl 0899.90135
Overton, Michael; Wolkowitz, Henry
1997
Semidefinite programming. Dedicated to the memory of Svatopluk Polyak. Zbl 0880.00035
1997
Eigenvalue optimization. Zbl 0870.65047
Lewis, Adrian S.; Overton, Michael L.
1996
Perturbing the critically damped wave equation. Zbl 0866.35062
Cox, Steven J.; Overton, Michael L.
1996
Second derivatives for optimizing eigenvalues of symmetric matrices. Zbl 0832.65036
Overton, Michael L.; Womersley, Robert S.
1995
Stability theory for dissipatively perturbed Hamiltonian systems. Zbl 0828.70010
Maddocks, John H.; Overton, Michael L.
1995
A new primal-dual interior-point method for semidefinite programming. Zbl 0819.65098
Alizadeh, Farid; Haeberly, Jean-Pierre A.; Overton, Michael L.
1994
Differential properties of the spectral abscissa and the spectral radius for analytic matrix-valued mappings. Zbl 0815.47007
Burke, James V.; Overton, Michael L.
1994
Towards second-order methods for structured nonsmooth optimization. Zbl 0821.90106
Overton, Michael L.; Ye, Xianjian
1994
A hybrid algorithm for optimizing eigenvalues of symmetric definite pencils. Zbl 0808.65036
Haeberly, Jean-Pierre A.; Overton, Michael L.
1994
Optimality conditions and duality theory for minimizing sums of the largest eigenvalues of symmetric matrices. Zbl 0806.90114
Overton, M. L.; Womersley, R. S.
1993
Large-scale optimization of eigenvalues. Zbl 0757.65072
Overton, Michael L.
1992
On the sum of the largest eigenvalues of a symmetric matrix. Zbl 0747.15005
Overton, Michael L.; Womersley, Robert S.
1992
On the optimal design of columns against buckling. Zbl 0793.73070
Cox, Steven J.; Overton, Michael L.
1992
Stable perturbations of nonsymmetric matrices. Zbl 0756.15023
Burke, James V.; Overton, Michael L.
1992
On the subdifferentiability of functions of a matrix spectrum. II: Subdifferential formulas. Zbl 1050.49506
Burke, J. V.; Overton, M. L.
1992
On the subdifferentiability of functions of a matrix spectrum. I: Mathematical foundations. Zbl 1050.49505
Burke, J. V.; Overton, M. L.
1992
The largest singular value of $$e^ XA_ 0e^{-X}$$ is convex on convex sets of commuting matrices. Zbl 0704.93023
Sezginer, Renan Sezer; Overton, Michael L.
1990
Sequential quadratic programming methods based on approximating a projected Hessian matrix. Zbl 0686.65033
Gurwitz, Chaya Bleich; Overton, Michael L.
1989
On minimizing the maximum eigenvalue of a symmetric matrix. Zbl 0647.65044
Overton, Michael L.
1988
The convergence of inexact Chebyshev and Richardson iterative methods for solving linear systems. Zbl 0661.65033
Golub, Gene H.; Overton, Michael L.
1988
On minimizing the spectral radius of a nonsymmetric matrix function: Optimality conditions and duality theory. Zbl 0684.65062
Overton, Michael L.; Womersley, Robert S.
1988
On minimizing the maximum eigenvalue of a symmetric matrix. Zbl 0669.65052
Overton, Michael L.
1988
The formulation and analysis of numerical methods for inverse eigenvalue problems. Zbl 0622.65030
Friedland, S.; Nocedal, J.; Overton, M. L.
1987
Four quadratically convergent methods for solving inverse eigenvalue problems. Zbl 0642.65025
Friedland, S.; Nocedal, J.; Overton, M. L.
1986
Projected Hessian updating algorithms for nonlinearly constrained optimization. Zbl 0593.65043
Nocedal, Jorge; Overton, Michael L.
1985
Numerical solution of a model problem from collapse load analysis. Zbl 0585.73060
Overton, Michael L.
1984
A quadratically convergent method for minimizing a sum of Euclidean norms. Zbl 0536.65053
Overton, Michael L.
1983
Convergence of a two-stage Richardson iterative procedure for solving systems of linear equations. Zbl 0477.65023
Golub, Gene H.; Overton, Michael L.
1982
A block Lanczos method for computing the singular values and corresponding singular vectors of a matrix. Zbl 0466.65022
Golub, Gene H.; Luk, Franklin T.; Overton, Michael L.
1981
A projected Lagrangian algorithm for nonlinear $$l_ 1$$ optimization. Zbl 0468.65036
Murray, Walter; Overton, Michael L.
1981
A projected Lagrangian algorithm for nonlinear minimax optimization. Zbl 0461.65052
Murray, Walter; Overton, Michael L.
1980
Steplength algorithms for minimizing a class of nondifferentiable functions. Zbl 0445.65060
Murray, W.; Overton, M. L.
1979
Canonical incidence matrices of graphs. Zbl 0415.68029
Overton, Michael L.; Proskurowski, Andrzej
1979
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
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### 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
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### 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)