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A trust region method based on interior point techniques for nonlinear programming

Mathematical programming, 2000-11, Vol.89 (1), p.149-185

2000

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A lower bound on the iterative complexity of the Harker and Pang globalization technique of the Newton-min algorithm for solving the linear complementarity problem

EURO journal on computational optimization, 2019-12, Vol.7 (4), p.359-380

2019

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On the Solution Uniqueness Characterization in the L1 Norm and Polyhedral Gauge Recovery

Journal of optimization theory and applications, 2017-01, Vol.172 (1), p.70-101

Gilbert, Jean Charles

2017

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Polyhedral Newton-min algorithms for complementarity problems

Mathematical programming, 2024-03, Vol.in revision

2024

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Application of the Moment-SOS Approach to Global Optimization of the OPF Problem

IEEE transactions on power systems, 2015-01, Vol.30 (1), p.463-470

2015

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Exact computation of an error bound for the balanced linear complementarity problem with unique solution

Mathematical programming, 2023-05, Vol.199 (1-2), p.1221-1238

2023

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On the B-differential of the componentwise minimum of two affine vector functions

Mathematical programming computation, 2023-11, Vol.in revision

2023

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An Algorithmic Characterization of P-matricity II: Adjustments, Refinements, and Validation

SIAM journal on matrix analysis and applications, 2019-01, Vol.40 (2), p.800-813

2019

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Nonconvergence of the plain Newton-min algorithm for linear complementarity problems with a P-matrix

Mathematical programming, 2012-09, Vol.134 (2), p.349-364

2012

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Numerical Optimization: Theoretical and Practical Aspects

1, 2006

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Numerical Optimization: Theoretical and Practical Aspects

1, 2003

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Global Convergence Properties of Conjugate Gradient Methods for Optimization

SIAM journal on optimization, 1992-02, Vol.2 (1), p.21-42

1992

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The genomic sequence and analysis of the swine major histocompatibility complex

Genomics (San Diego, Calif.), 2006-07, Vol.88 (1), p.96-110

2006

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An Algorithmic Characterization of $P$-Matricity

SIAM journal on matrix analysis and applications, 2013-01, Vol.34 (3), p.904-916

2013

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Numerical Optimization: Theoretical and Practical Aspects

2013

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Constrained optimization in seismic reflection tomography: a Gauss-Newton augmented Lagrangian approach

Geophysical journal international, 2006-03, Vol.164 (3), p.670-684

2006

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Examples of ill-behaved central paths in convex optimization

Mathematical programming, 2005-05, Vol.103 (1), p.63-94

2005

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Some numerical experiments with variable-storage quasi-Newton algorithms

Mathematical programming, 1989-12, Vol.45 (3), p.407-435

1989

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Higher Order Time Stepping for Second Order Hyperbolic Problems and Optimal CFL Conditions

Partial Differential Equations, 2008, Vol.16, p.67-93

2008

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Numerical Optimization

2nd ed. 2006., 2006

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A Feasible BFGS Interior Point Algorithm for Solving Convex Minimization Problems

SIAM journal on optimization, 2000, Vol.11 (1), p.199-222

2000

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A BFGS-IP algorithm for solving strongly convex optimization problems with feasibility enforced by an exact penalty approach

Mathematical programming, 2002, Vol.92 (3), p.393-424

2002

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Automatic differentiation and iterative processes

Optimization methods & software, 1992-01, Vol.1 (1), p.13-21

Gilbert, Jean Charles

1992

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A truncated SQP algorithm for solving nonconvex equality constrained optimization problems

High Performance Algorithms and Software for Nonlinear Optimization, p.149-176

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On the Realization of the Wolfe Conditions in Reduced Quasi-Newton Methods for Equality Constrained Optimization

SIAM journal on optimization, 1997-08, Vol.7 (3), p.780-813

Gilbert, Jean Charles

1997

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A trust region method based on interior point techniques for nonlinear programming

A lower bound on the iterative complexity of the Harker and Pang globalization technique of the Newton-min algorithm for solving the linear complementarity problem

On the Solution Uniqueness Characterization in the L1 Norm and Polyhedral Gauge Recovery

Polyhedral Newton-min algorithms for complementarity problems

Application of the Moment-SOS Approach to Global Optimization of the OPF Problem

Exact computation of an error bound for the balanced linear complementarity problem with unique solution

On the B-differential of the componentwise minimum of two affine vector functions

An Algorithmic Characterization of P-matricity II: Adjustments, Refinements, and Validation

Nonconvergence of the plain Newton-min algorithm for linear complementarity problems with a P-matrix

Numerical Optimization: Theoretical and Practical Aspects

Numerical Optimization: Theoretical and Practical Aspects

Global Convergence Properties of Conjugate Gradient Methods for Optimization

The genomic sequence and analysis of the swine major histocompatibility complex

An Algorithmic Characterization of $P$-Matricity

Numerical Optimization: Theoretical and Practical Aspects

Constrained optimization in seismic reflection tomography: a Gauss-Newton augmented Lagrangian approach

Examples of ill-behaved central paths in convex optimization

Some numerical experiments with variable-storage quasi-Newton algorithms

Higher Order Time Stepping for Second Order Hyperbolic Problems and Optimal CFL Conditions

Numerical Optimization

A Feasible BFGS Interior Point Algorithm for Solving Convex Minimization Problems

A BFGS-IP algorithm for solving strongly convex optimization problems with feasibility enforced by an exact penalty approach

Automatic differentiation and iterative processes

A truncated SQP algorithm for solving nonconvex equality constrained optimization problems

On the Realization of the Wolfe Conditions in Reduced Quasi-Newton Methods for Equality Constrained Optimization

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