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Overton, Michael L.

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Author ID: overton.michael-l Recent zbMATH articles by "Overton, Michael L."
Published as: Overton, Michael L.; Overton, M. L.; Overton, Michael
Documents Indexed: 100 Publications since 1979, including 4 Books

Publications by Year

Citations contained in zbMATH Open

86 Publications have been cited 1,616 times in 1,191 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.
128
1998
A robust gradient sampling algorithm for nonsmooth, nonconvex optimization. Zbl 1078.65048
Burke, James V.; Lewis, Adrian S.; Overton, Michael L.
107
2005
Complementarity and nondegeneracy in semidefinite programming. Zbl 0890.90141
Alizadeh, Farid; Haeberly, Jean-Pierre A.; Overton, Michael L.
69
1997
Projected Hessian updating algorithms for nonlinearly constrained optimization. Zbl 0593.65043
Nocedal, Jorge; Overton, Michael L.
69
1985
Nonsmooth optimization via quasi-Newton methods. Zbl 1280.90118
Lewis, Adrian S.; Overton, Michael L.
68
2013
Large-scale optimization of eigenvalues. Zbl 0757.65072
Overton, Michael L.
57
1992
The formulation and analysis of numerical methods for inverse eigenvalue problems. Zbl 0622.65030
Friedland, S.; Nocedal, J.; Overton, M. L.
56
1987
Eigenvalue optimization. Zbl 0870.65047
Lewis, Adrian S.; Overton, Michael L.
54
1996
On minimizing the maximum eigenvalue of a symmetric matrix. Zbl 0647.65044
Overton, Michael L.
54
1988
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.
46
1997
Optimality conditions and duality theory for minimizing sums of the largest eigenvalues of symmetric matrices. Zbl 0806.90114
Overton, M. L.; Womersley, R. S.
44
1993
A quadratically convergent method for minimizing a sum of Euclidean norms. Zbl 0536.65053
Overton, Michael L.
42
1983
A projected Lagrangian algorithm for nonlinear minimax optimization. Zbl 0461.65052
Murray, Walter; Overton, Michael L.
37
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.
36
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.
32
2000
The convergence of inexact Chebyshev and Richardson iterative methods for solving linear systems. Zbl 0661.65033
Golub, Gene H.; Overton, Michael L.
30
1988
On the sum of the largest eigenvalues of a symmetric matrix. Zbl 0747.15005
Overton, Michael L.; Womersley, Robert S.
28
1992
Second derivatives for optimizing eigenvalues of symmetric matrices. Zbl 0832.65036
Overton, Michael L.; Womersley, Robert S.
27
1995
Fast algorithms for the approximation of the pseudospectral abscissa and pseudospectral radius of a matrix. Zbl 1248.65034
Guglielmi, Nicola; Overton, Michael L.
27
2011
On the optimal design of columns against buckling. Zbl 0793.73070
Cox, Steven J.; Overton, Michael L.
26
1992
A primal-dual interior method for nonconvex nonlinear programming. Zbl 0908.90236
Gay, David M.; Overton, Michael L.; Wright, Margaret H.
25
1998
A sequential quadratic programming algorithm for nonconvex, nonsmooth constrained optimization. Zbl 1246.49031
Curtis, Frank E.; Overton, Michael L.
25
2012
Approximating subdifferentials by random sampling of gradients. Zbl 1082.49019
Burke, J. V.; Lewis, A. S.; Overton, M. L.
25
2002
A new primal-dual interior-point method for semidefinite programming. Zbl 0819.65098
Alizadeh, Farid; Haeberly, Jean-Pierre A.; Overton, Michael L.
24
1994
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.
23
2001
Computing limit loads by minimizing a sum of norms. Zbl 0924.73074
Andersen, Knud D.; Christiansen, Edmund; Overton, Michael L.
21
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.
21
1988
Two numerical methods for optimizing matrix stability. Zbl 1005.65041
Burke, James V.; Lewis, Adrian S.; Overton, Michael L.
18
2002
Narrowing the difficulty gap for the Celis-Dennis-Tapia problem. Zbl 1328.90095
Bomze, Immanuel M.; Overton, Michael L.
18
2015
Optimal stability and eigenvalue multiplicity. Zbl 0994.15022
Burke, J. V.; Lewis, A. S.; Overton, M. L.
18
2001
Stabilization via nonsmooth, nonconvex optimization. Zbl 1366.93490
Burke, James V.; Henrion, Didier; Lewis, Adrian S.; Overton, Michael L.
18
2006
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.
17
2017
Robust stability and a criss-cross algorithm for pseudospectra. Zbl 1042.65060
Burke, J. V.; Lewis, A. S.; Overton, M. L.
16
2003
Fast methods for estimating the distance to uncontrollability. Zbl 1115.65069
Gu, M.; Mengi, E.; Overton, M. L.; Xia, J.; Zhu, J.
16
2006
Fast approximation of the \(H_\infty\) norm via optimization over spectral value sets. Zbl 1271.93057
Guglielmi, Nicola; Gürbüzbalaban, Mert; Overton, Michael L.
15
2013
On Nesterov’s nonsmooth Chebyshev-Rosenbrock functions. Zbl 1269.49018
Gürbüzbalaban, Mert; Overton, Michael L.
14
2012
Pseudospectral components and the distance to uncontrollability. Zbl 1078.93008
Burke, J. V.; Lewis, A. S.; Overton, M. L.
13
2004
Optimization and pseudospectra, with applications to robust stability. Zbl 1061.15007
Burke, J. V.; Lewis, A. S.; Overton, M. L.
13
2003
Optimizing matrix stability. Zbl 0965.15020
Burke, J. V.; Lewis, A. S.; Overton, M. L.
12
2001
Variational analysis of non-Lipschitz spectral functions. Zbl 0988.15005
Burke, James V.; Overton, Michael L.
12
2001
A projected Lagrangian algorithm for nonlinear \(l_ 1\) optimization. Zbl 0468.65036
Murray, Walter; Overton, Michael L.
12
1981
Algorithm for the computation of the pseudospectral radius and the numerical radius of a matrix. Zbl 1082.65043
Mengi, Emre; Overton, Michael L.
12
2005
Conditioning of semidefinite programs. Zbl 0973.90056
Nayakkankuppam, Madhu V.; Overton, Michael L.
10
1999
Stability theory for dissipatively perturbed Hamiltonian systems. Zbl 0828.70010
Maddocks, John H.; Overton, Michael L.
10
1995
Stable perturbations of nonsymmetric matrices. Zbl 0756.15023
Burke, James V.; Overton, Michael L.
10
1992
Steplength algorithms for minimizing a class of nondifferentiable functions. Zbl 0445.65060
Murray, W.; Overton, M. L.
9
1979
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
9
2007
Design of Hermite subdivision schemes aided by spectral radius optimization. Zbl 1037.42035
Han, Bin; Overton, Michael L.; Yu, Thomas P.-Y.
9
2003
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.
9
1990
An efficient algorithm for computing the generalized null space decomposition. Zbl 1327.65072
Guglielmi, Nicola; Overton, Michael L.; Stewart, G. W.
9
2015
Differential properties of the spectral abscissa and the spectral radius for analytic matrix-valued mappings. Zbl 0815.47007
Burke, James V.; Overton, Michael L.
8
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.
7
2011
Hybrid expansion-contraction: a robust scaleable method for approximating the \(H_{\infty}\) norm. Zbl 1433.93100
Mitchell, Tim; Overton, Michael L.
6
2016
Towards second-order methods for structured nonsmooth optimization. Zbl 0821.90106
Overton, Michael L.; Ye, Xianjian
6
1994
Perturbing the critically damped wave equation. Zbl 0866.35062
Cox, Steven J.; Overton, Michael L.
6
1996
Sequential quadratic programming methods based on approximating a projected Hessian matrix. Zbl 0686.65033
Gurwitz, Chaya Bleich; Overton, Michael L.
6
1989
Foreword to: Semidefinite programming. Zbl 0899.90135
Overton, Michael; Wolkowitz, Henry
5
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.
5
2004
Variational analysis of functions of the roots of polynomials. Zbl 1093.90078
Burke, James V.; Lewis, Adrian S.; Overton, Michael L.
4
2005
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.
4
2012
The spectral bundle method with second-order information. Zbl 1306.90118
Helmberg, C.; Overton, M. L.; Rendl, F.
4
2014
Two heuristics for the Euclidean Steiner tree problem. Zbl 0909.90199
Dreyer, Derek R.; Overton, Michael L.
3
1998
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.
3
1999
Variational analysis of the abscissa mapping for polynomials. Zbl 0997.49015
Burke, James V.; Overton, Michael L.
3
2001
A hybrid algorithm for optimizing eigenvalues of symmetric definite pencils. Zbl 0808.65036
Haeberly, Jean-Pierre A.; Overton, Michael L.
3
1994
The speed of Shor’s r-algorithm. Zbl 1185.90166
Burke, J. V.; Lewis, A. S.; Overton, M. L.
3
2008
An analysis of low-rank modifications of preconditioners for saddle point systems. Zbl 1205.65142
Greif, Chen; Overton, Michael L.
3
2010
Four quadratically convergent methods for solving inverse eigenvalue problems. Zbl 0642.65025
Friedland, S.; Nocedal, J.; Overton, M. L.
3
1986
Convergence of a two-stage Richardson iterative procedure for solving systems of linear equations. Zbl 0477.65023
Golub, Gene H.; Overton, Michael L.
3
1982
Numerical investigation of Crouzeix’s conjecture. Zbl 1415.15021
Greenbaum, Anne; Overton, Michael L.
3
2018
Spectral conditioning and pseudospectral growth. Zbl 1124.15004
Burke, J. V.; Lewis, A. S.; Overton, M. L.
3
2007
Optimizing the asymptotic convergence rate of the Diaconis-Holmes-Neal sampler. Zbl 1156.60058
Gade, Kranthi K.; Overton, Michael L.
3
2007
Variational analysis of the Crouzeix ratio. Zbl 1376.15015
Greenbaum, Anne; Lewis, Adrian S.; Overton, Michael L.
3
2017
First-order perturbation theory for eigenvalues and eigenvectors. Zbl 07207347
Greenbaum, Anne; Li, Ren-Cang; Overton, Michael L.
3
2020
On the subdifferentiability of functions of a matrix spectrum. II: Subdifferential formulas. Zbl 1050.49506
Burke, J. V.; Overton, M. L.
2
1992
On minimizing the maximum eigenvalue of a symmetric matrix. Zbl 0669.65052
Overton, Michael L.
2
1988
An algorithm to compute Sep\(_{\lambda}\). Zbl 1113.65031
Gu, Ming; Overton, Michael L.
2
2006
Approximating the real structured stability radius with Frobenius-norm bounded perturbations. Zbl 1379.65040
Guglielmi, N.; Gürbüzbalaban, M.; Mitchell, T.; Overton, M. L.
2
2017
Semidefinite programming. Dedicated to the memory of Svatopluk Polyak. Zbl 0880.00035
Overton, Michael (ed.); Wolkowicz, Henry (ed.)
1
1997
On the subdifferentiability of functions of a matrix spectrum. I: Mathematical foundations. Zbl 1050.49505
Burke, J. V.; Overton, M. L.
1
1992
Mixed semidefinite-quadratic-linear programs. Zbl 1031.90021
Haeberly, Jean-Pierre A.; Nayakkankuppam, Madhu V.; Overton, Michael L.
1
2000
Canonical incidence matrices of graphs. Zbl 0415.68029
Overton, Michael L.; Proskurowski, Andrzej
1
1979
Some regularity results for the pseudospectral abscissa and pseudospectral radius of a matrix. Zbl 1253.15010
Gürbüzbalaban, Mert; Overton, Michael L.
1
2012
Numerical solution of a model problem from collapse load analysis. Zbl 0585.73060
Overton, Michael L.
1
1984
Convexity and Lipschitz behavior of small pseudospectra. Zbl 1153.15013
Burke, J. V.; Lewis, A. S.; Overton, M. L.
1
2008
Variational analysis of the spectral abscissa at a matrix with a nongeneric multiple eigenvalue. Zbl 1301.49037
Grundel, Sara; Overton, Michael L.
1
2014
First-order perturbation theory for eigenvalues and eigenvectors. Zbl 07207347
Greenbaum, Anne; Li, Ren-Cang; Overton, Michael L.
3
2020
Numerical investigation of Crouzeix’s conjecture. Zbl 1415.15021
Greenbaum, Anne; Overton, Michael L.
3
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.
17
2017
Variational analysis of the Crouzeix ratio. Zbl 1376.15015
Greenbaum, Anne; Lewis, Adrian S.; Overton, Michael L.
3
2017
Approximating the real structured stability radius with Frobenius-norm bounded perturbations. Zbl 1379.65040
Guglielmi, N.; Gürbüzbalaban, M.; Mitchell, T.; Overton, M. L.
2
2017
Hybrid expansion-contraction: a robust scaleable method for approximating the \(H_{\infty}\) norm. Zbl 1433.93100
Mitchell, Tim; Overton, Michael L.
6
2016
Narrowing the difficulty gap for the Celis-Dennis-Tapia problem. Zbl 1328.90095
Bomze, Immanuel M.; Overton, Michael L.
18
2015
An efficient algorithm for computing the generalized null space decomposition. Zbl 1327.65072
Guglielmi, Nicola; Overton, Michael L.; Stewart, G. W.
9
2015
The spectral bundle method with second-order information. Zbl 1306.90118
Helmberg, C.; Overton, M. L.; Rendl, F.
4
2014
Variational analysis of the spectral abscissa at a matrix with a nongeneric multiple eigenvalue. Zbl 1301.49037
Grundel, Sara; Overton, Michael L.
1
2014
Nonsmooth optimization via quasi-Newton methods. Zbl 1280.90118
Lewis, Adrian S.; Overton, Michael L.
68
2013
Fast approximation of the \(H_\infty\) norm via optimization over spectral value sets. Zbl 1271.93057
Guglielmi, Nicola; Gürbüzbalaban, Mert; Overton, Michael L.
15
2013
A sequential quadratic programming algorithm for nonconvex, nonsmooth constrained optimization. Zbl 1246.49031
Curtis, Frank E.; Overton, Michael L.
25
2012
On Nesterov’s nonsmooth Chebyshev-Rosenbrock functions. Zbl 1269.49018
Gürbüzbalaban, Mert; Overton, Michael L.
14
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.
4
2012
Some regularity results for the pseudospectral abscissa and pseudospectral radius of a matrix. Zbl 1253.15010
Gürbüzbalaban, Mert; Overton, Michael L.
1
2012
Fast algorithms for the approximation of the pseudospectral abscissa and pseudospectral radius of a matrix. Zbl 1248.65034
Guglielmi, Nicola; Overton, Michael L.
27
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.
7
2011
An analysis of low-rank modifications of preconditioners for saddle point systems. Zbl 1205.65142
Greif, Chen; Overton, Michael L.
3
2010
The speed of Shor’s r-algorithm. Zbl 1185.90166
Burke, J. V.; Lewis, A. S.; Overton, M. L.
3
2008
Convexity and Lipschitz behavior of small pseudospectra. Zbl 1153.15013
Burke, J. V.; Lewis, A. S.; Overton, M. L.
1
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
9
2007
Spectral conditioning and pseudospectral growth. Zbl 1124.15004
Burke, J. V.; Lewis, A. S.; Overton, M. L.
3
2007
Optimizing the asymptotic convergence rate of the Diaconis-Holmes-Neal sampler. Zbl 1156.60058
Gade, Kranthi K.; Overton, Michael L.
3
2007
Stabilization via nonsmooth, nonconvex optimization. Zbl 1366.93490
Burke, James V.; Henrion, Didier; Lewis, Adrian S.; Overton, Michael L.
18
2006
Fast methods for estimating the distance to uncontrollability. Zbl 1115.65069
Gu, M.; Mengi, E.; Overton, M. L.; Xia, J.; Zhu, J.
16
2006
An algorithm to compute Sep\(_{\lambda}\). Zbl 1113.65031
Gu, Ming; Overton, Michael L.
2
2006
A robust gradient sampling algorithm for nonsmooth, nonconvex optimization. Zbl 1078.65048
Burke, James V.; Lewis, Adrian S.; Overton, Michael L.
107
2005
Algorithm for the computation of the pseudospectral radius and the numerical radius of a matrix. Zbl 1082.65043
Mengi, Emre; Overton, Michael L.
12
2005
Variational analysis of functions of the roots of polynomials. Zbl 1093.90078
Burke, James V.; Lewis, Adrian S.; Overton, Michael L.
4
2005
Pseudospectral components and the distance to uncontrollability. Zbl 1078.93008
Burke, J. V.; Lewis, A. S.; Overton, M. L.
13
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.
5
2004
Robust stability and a criss-cross algorithm for pseudospectra. Zbl 1042.65060
Burke, J. V.; Lewis, A. S.; Overton, M. L.
16
2003
Optimization and pseudospectra, with applications to robust stability. Zbl 1061.15007
Burke, J. V.; Lewis, A. S.; Overton, M. L.
13
2003
Design of Hermite subdivision schemes aided by spectral radius optimization. Zbl 1037.42035
Han, Bin; Overton, Michael L.; Yu, Thomas P.-Y.
9
2003
Approximating subdifferentials by random sampling of gradients. Zbl 1082.49019
Burke, J. V.; Lewis, A. S.; Overton, M. L.
25
2002
Two numerical methods for optimizing matrix stability. Zbl 1005.65041
Burke, James V.; Lewis, Adrian S.; Overton, Michael L.
18
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.
23
2001
Optimal stability and eigenvalue multiplicity. Zbl 0994.15022
Burke, J. V.; Lewis, A. S.; Overton, M. L.
18
2001
Optimizing matrix stability. Zbl 0965.15020
Burke, J. V.; Lewis, A. S.; Overton, M. L.
12
2001
Variational analysis of non-Lipschitz spectral functions. Zbl 0988.15005
Burke, James V.; Overton, Michael L.
12
2001
Variational analysis of the abscissa mapping for polynomials. Zbl 0997.49015
Burke, James V.; Overton, Michael L.
3
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.
32
2000
Mixed semidefinite-quadratic-linear programs. Zbl 1031.90021
Haeberly, Jean-Pierre A.; Nayakkankuppam, Madhu V.; Overton, Michael L.
1
2000
Conditioning of semidefinite programs. Zbl 0973.90056
Nayakkankuppam, Madhu V.; Overton, Michael L.
10
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.
3
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.
128
1998
A primal-dual interior method for nonconvex nonlinear programming. Zbl 0908.90236
Gay, David M.; Overton, Michael L.; Wright, Margaret H.
25
1998
Computing limit loads by minimizing a sum of norms. Zbl 0924.73074
Andersen, Knud D.; Christiansen, Edmund; Overton, Michael L.
21
1998
Two heuristics for the Euclidean Steiner tree problem. Zbl 0909.90199
Dreyer, Derek R.; Overton, Michael L.
3
1998
Complementarity and nondegeneracy in semidefinite programming. Zbl 0890.90141
Alizadeh, Farid; Haeberly, Jean-Pierre A.; Overton, Michael L.
69
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.
46
1997
Foreword to: Semidefinite programming. Zbl 0899.90135
Overton, Michael; Wolkowitz, Henry
5
1997
Semidefinite programming. Dedicated to the memory of Svatopluk Polyak. Zbl 0880.00035
Overton, Michael; Wolkowicz, Henry
1
1997
Eigenvalue optimization. Zbl 0870.65047
Lewis, Adrian S.; Overton, Michael L.
54
1996
Perturbing the critically damped wave equation. Zbl 0866.35062
Cox, Steven J.; Overton, Michael L.
6
1996
Second derivatives for optimizing eigenvalues of symmetric matrices. Zbl 0832.65036
Overton, Michael L.; Womersley, Robert S.
27
1995
Stability theory for dissipatively perturbed Hamiltonian systems. Zbl 0828.70010
Maddocks, John H.; Overton, Michael L.
10
1995
A new primal-dual interior-point method for semidefinite programming. Zbl 0819.65098
Alizadeh, Farid; Haeberly, Jean-Pierre A.; Overton, Michael L.
24
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.
8
1994
Towards second-order methods for structured nonsmooth optimization. Zbl 0821.90106
Overton, Michael L.; Ye, Xianjian
6
1994
A hybrid algorithm for optimizing eigenvalues of symmetric definite pencils. Zbl 0808.65036
Haeberly, Jean-Pierre A.; Overton, Michael L.
3
1994
Optimality conditions and duality theory for minimizing sums of the largest eigenvalues of symmetric matrices. Zbl 0806.90114
Overton, M. L.; Womersley, R. S.
44
1993
Large-scale optimization of eigenvalues. Zbl 0757.65072
Overton, Michael L.
57
1992
On the sum of the largest eigenvalues of a symmetric matrix. Zbl 0747.15005
Overton, Michael L.; Womersley, Robert S.
28
1992
On the optimal design of columns against buckling. Zbl 0793.73070
Cox, Steven J.; Overton, Michael L.
26
1992
Stable perturbations of nonsymmetric matrices. Zbl 0756.15023
Burke, James V.; Overton, Michael L.
10
1992
On the subdifferentiability of functions of a matrix spectrum. II: Subdifferential formulas. Zbl 1050.49506
Burke, J. V.; Overton, M. L.
2
1992
On the subdifferentiability of functions of a matrix spectrum. I: Mathematical foundations. Zbl 1050.49505
Burke, 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 0704.93023
Sezginer, Renan Sezer; Overton, Michael L.
9
1990
Sequential quadratic programming methods based on approximating a projected Hessian matrix. Zbl 0686.65033
Gurwitz, Chaya Bleich; Overton, Michael L.
6
1989
On minimizing the maximum eigenvalue of a symmetric matrix. Zbl 0647.65044
Overton, Michael L.
54
1988
The convergence of inexact Chebyshev and Richardson iterative methods for solving linear systems. Zbl 0661.65033
Golub, Gene H.; Overton, Michael L.
30
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.
21
1988
On minimizing the maximum eigenvalue of a symmetric matrix. Zbl 0669.65052
Overton, Michael L.
2
1988
The formulation and analysis of numerical methods for inverse eigenvalue problems. Zbl 0622.65030
Friedland, S.; Nocedal, J.; Overton, M. L.
56
1987
Four quadratically convergent methods for solving inverse eigenvalue problems. Zbl 0642.65025
Friedland, S.; Nocedal, J.; Overton, M. L.
3
1986
Projected Hessian updating algorithms for nonlinearly constrained optimization. Zbl 0593.65043
Nocedal, Jorge; Overton, Michael L.
69
1985
Numerical solution of a model problem from collapse load analysis. Zbl 0585.73060
Overton, Michael L.
1
1984
A quadratically convergent method for minimizing a sum of Euclidean norms. Zbl 0536.65053
Overton, Michael L.
42
1983
Convergence of a two-stage Richardson iterative procedure for solving systems of linear equations. Zbl 0477.65023
Golub, Gene H.; Overton, Michael L.
3
1982
A block Lanczos method for computing the singular values and corresponding singular vectors of a matrix. Zbl 0466.65022
Golub, Gene H.; Luk, Franklin T.; Overton, Michael L.
36
1981
A projected Lagrangian algorithm for nonlinear \(l_ 1\) optimization. Zbl 0468.65036
Murray, Walter; Overton, Michael L.
12
1981
A projected Lagrangian algorithm for nonlinear minimax optimization. Zbl 0461.65052
Murray, Walter; Overton, Michael L.
37
1980
Steplength algorithms for minimizing a class of nondifferentiable functions. Zbl 0445.65060
Murray, W.; Overton, M. L.
9
1979
Canonical incidence matrices of graphs. Zbl 0415.68029
Overton, Michael L.; Proskurowski, Andrzej
1
1979
all top 5

Cited by 1,603 Authors

24 Overton, Michael L.
22 Zhu, Detong
19 Lewis, Adrian S.
14 Noll, Dominikus
11 Apkarian, Pierre
11 Li, Chong
10 Burke, James V.
10 Guglielmi, Nicola
9 Benner, Peter
9 Le Van Canh
9 Michiels, Wim
9 Wolkowicz, Henry
9 Yao, Jen-Chih
8 Drusvyatskiy, Dmitriy
8 Shen, Weiping
8 Watson, G. Alistair
7 Griewank, Andreas
7 Huang, Ming
7 Jian, Jinbao
7 Kressner, Daniel
7 Mahdavi-Amiri, Nezam
7 Mengi, Emre
7 Mitchell, Tim
7 Nguyen-Xuan, Hung
7 Pang, Liping
7 Sun, Defeng
7 Szyld, Daniel B.
7 Teo, Kok Lay
7 Yang, Xiaoqi
6 Gaudioso, Manlio
6 Jarre, Florian
6 Kojima, Masakazu
6 Liu, Hongwei
6 Pan, Shaohua
6 Rustem, Berc
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 Bagirov, Adil M.
5 Bai, Zhengjian
5 Bai, Zhongzhi
5 Bora, Shreemayee
5 Boyd, Stephen Poythress
5 Coleman, Thomas F.
5 Ding, Chao
5 Fan, Michael Ko-Hui
5 Golub, Gene Howard
5 Greenbaum, Anne
5 Kanzow, Christian
5 Mehrmann, Volker
5 Monteiro, Renato D. C.
5 Moro, Julio
5 Nakata, Kazuhide
5 Qi, Houduo
5 Reichel, Lothar
5 Rendl, Franz
5 Roos, Cornelis
5 Salahi, Maziar
5 Santos, Sandra Augusta
5 Sendov, Hristo S.
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 Dax, Achiya
4 Gilbert, Jean Charles
4 Gu, Chao
4 Helou, Elias Salomão
4 Henrion, Didier
4 Ioffe, Alexander Davidovich
4 Kirillov, Oleg N.
4 Nakatsukasa, Yuji
4 Nobakhtian, Soghra
4 O’Leary, Dianne P.
4 Polak, Elijah (Lucien)
4 Potra, Florian-Alexandru
4 Schulz, Volker H.
4 Simões, Lucas Eduardo Azevedo
4 Nguyen Khoa Son
4 Sturm, Jos F.
4 Takeda, Akiko
4 Tang, Chunming
4 Thuan, Do Duc
4 Todd, Michael J.
4 Tunçel, Levent
4 Vandenberghe, Lieven
4 Voigt, Matthias
4 Wang, Xiangmei
4 Wojtylak, Michał
4 Xia, Zunquan
4 Xiu, Naihua
4 Xu, Mengwei
...and 1,503 more Authors
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Cited in 217 Serials

87 Mathematical Programming. Series A. Series B
83 Linear Algebra and its Applications
68 Journal of Optimization Theory and Applications
48 Journal of Computational and Applied Mathematics
47 Optimization Methods & Software
43 SIAM Journal on Optimization
39 Computational Optimization and Applications
36 SIAM Journal on Matrix Analysis and Applications
29 Optimization
28 Applied Mathematics and Computation
28 Numerical Algorithms
23 Systems & Control Letters
21 Numerische Mathematik
21 Journal of Global Optimization
19 Applied Numerical Mathematics
16 International Journal for Numerical Methods in Engineering
16 SIAM Journal on Scientific Computing
15 Automatica
15 European Journal of Operational Research
13 Mathematical Programming
12 BIT
11 Journal of Mathematical Analysis and Applications
11 Optimization Letters
10 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
9 Computers & Mathematics with Applications
9 International Journal of Control
9 Journal of Computational Physics
8 International Journal of Computer Mathematics
8 Mathematical Methods of Operations Research
8 Journal of Industrial and Management Optimization
7 Numerical Functional Analysis and Optimization
7 Operations Research Letters
7 Annals of Operations Research
7 Mathematical Problems in Engineering
7 Set-Valued and Variational Analysis
6 Computer Methods in Applied Mechanics and Engineering
6 Linear and Multilinear Algebra
6 Computing
6 Numerical Linear Algebra with Applications
6 Advances in Computational Mathematics
6 Journal of Systems Science and Complexity
6 Structural and Multidisciplinary Optimization
5 Mathematics of Computation
5 Journal of Differential Equations
5 Applied Mathematics and Mechanics. (English Edition)
5 Acta Mathematicae Applicatae Sinica. English Series
5 MCSS. Mathematics of Control, Signals, and Systems
5 Applied Mathematical Modelling
5 RAIRO. Operations Research
5 Journal of Machine Learning Research (JMLR)
5 Journal of Applied Mathematics and Computing
4 International Journal of Robust and Nonlinear Control
4 Computational and Applied Mathematics
4 Top
4 European Journal of Control
4 European Journal of Mechanics. A. Solids
4 Optimization and Engineering
4 The ANZIAM Journal
4 Comptes Rendus. Mathématique. Académie des Sciences, Paris
4 Mathematical Programming Computation
3 Calcolo
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 Journal of Mathematical Sciences (New York)
3 International Journal of Computational Methods
3 Numerical Algebra, Control and Optimization
3 Nonlinear Analysis. Theory, Methods & Applications
2 Acta Mechanica
2 Archive for Rational Mechanics and Analysis
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 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 Computer Aided Geometric Design
2 RAIRO. Modélisation Mathématique et Analyse Numérique
2 Computational Mechanics
2 Asia-Pacific Journal of Operational Research
2 Mathematical and Computer Modelling
2 Journal of Scientific Computing
2 Neural Computation
2 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
2 Pattern Recognition
2 SIAM Review
2 Archive of Applied Mechanics
2 Communications in Numerical Methods in Engineering
2 Random Operators and Stochastic Equations
2 Journal of Convex Analysis
2 Bernoulli
...and 117 more Serials
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Cited in 50 Fields

670 Operations research, mathematical programming (90-XX)
512 Numerical analysis (65-XX)
207 Calculus of variations and optimal control; optimization (49-XX)
168 Linear and multilinear algebra; matrix theory (15-XX)
111 Systems theory; control (93-XX)
76 Mechanics of deformable solids (74-XX)
41 Computer science (68-XX)
40 Partial differential equations (35-XX)
37 Statistics (62-XX)
36 Operator theory (47-XX)
35 Ordinary differential equations (34-XX)
17 Convex and discrete geometry (52-XX)
16 Combinatorics (05-XX)
16 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
14 Approximations and expansions (41-XX)
14 Mechanics of particles and systems (70-XX)
12 Probability theory and stochastic processes (60-XX)
12 Fluid mechanics (76-XX)
10 Algebraic geometry (14-XX)
10 Information and communication theory, circuits (94-XX)
9 Global analysis, analysis on manifolds (58-XX)
8 Functional analysis (46-XX)
7 Real functions (26-XX)
7 Dynamical systems and ergodic theory (37-XX)
6 Quantum theory (81-XX)
6 Biology and other natural sciences (92-XX)
4 Functions of a complex variable (30-XX)
4 Differential geometry (53-XX)
4 Optics, electromagnetic theory (78-XX)
4 Statistical mechanics, structure of matter (82-XX)
3 Nonassociative rings and algebras (17-XX)
3 Several complex variables and analytic spaces (32-XX)
3 Special functions (33-XX)
3 Harmonic analysis on Euclidean spaces (42-XX)
3 Mathematics education (97-XX)
2 General and overarching topics; collections (00-XX)
2 History and biography (01-XX)
2 Sequences, series, summability (40-XX)
2 Manifolds and cell complexes (57-XX)
2 Geophysics (86-XX)
1 Number theory (11-XX)
1 Field theory and polynomials (12-XX)
1 Topological groups, Lie groups (22-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)

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