Optimization Online


Nonlinear Optimization Submissions - 2013

January 2013

A Framework of Constraint Preserving Update Schemes for Optimization on Stiefel Manifold
Bo Jiang, Yu-Hong Dai

Approximate-KKT stopping criterion when Lagrange multipliers are not available
Gabriel Haeser, Vinícius V. de Melo

February 2013

Constrained Nonlinear Optimization
Abstract Newtonian Frameworks and Their Applications
A.F. Izmailov, A.S. Kurennoy

Constrained Nonlinear Optimization
Attraction of Newton method to critical Lagrange multipliers: fully quadratic case
A.F. Izmailov, E.I. Uskov

Nonlinear Systems and Least-Squares
Strong local convergence properties of adaptive regularized methods for nonlinear least-squares
Stefania Bellavia, Benedetta Morini

Quadratic Programming
On the connection between the conjugate gradient method and quasi-Newton methods on quadratic problems
Anders Forsgren, Tove Odland

Constrained Nonlinear Optimization
An interior point method with a primal-dual quadratic barrier penalty function for nonlinear semidefinite programming
Atsushi Kato, Hiroshi Yabe, Hiroshi Yamashita

A class of derivative-free nonmonotone optimization algorithms employing coordinate rotations and gradient approximations
Francesco Rinaldi, Luigi Grippo

A generalization of the Lowner-John's ellipsoid theorem
Jean B Lasserre

March 2013

Constrained Nonlinear Optimization
Trace-Penalty Minimization for Large-scale Eigenspace Computation
Zaiwen Wen, Chao Yang, Xin Liu, Yin Zhang

Unconstrained Optimization
Worst-case evaluation complexity of non-monotone gradient-related algorithms for unconstrained optimization
Coralia Cartis, Phillipe Sampaio, Philippe L. Toint

April 2013

Constrained Nonlinear Optimization
On the evaluation complexity of constrained nonlinear least-squares and general constrained nonlinear optimization using second-order methods
Coralia Cartis, Nicholas I.M. Gould, Philippe L. Toint

Properly optimal elements in vector optimization with variable ordering structures
Gabriele Eichfelder, Refail Kasimbeyli

Convergence of trust-region methods based on probabilistic models
A. S. Bandeira, K. Scheinberg, L. N. Vicente

Globally convergent DC trust-region methods
Le Thi Hoai An, Huynh Van Ngai, Pham Dinh Tao, A. I. F. Vaz, L. N. Vicente

May 2013

Constrained Nonlinear Optimization
An Inexact Sequential Quadratic Optimization Algorithm for Large-Scale Nonlinear Optimization
Frank E Curtis, Travis C Johnson, Daniel P Robinson, Andreas Waechter

Constrained Nonlinear Optimization
Incremental Accelerated Gradient Methods for SVM Classification: Study of the Constrained Approach
Nicolas Couellan, Sophie Jan

Unconstrained Optimization
An example of slow convergence for Newton's method on a function with globally Lipschitz continuous Hessian
Coralia Cartis, Nicholas I.M. Gould, Philippe L. Toint

Constrained Nonlinear Optimization
A filter method with unified step computation for nonlinear optimization
Nicholas I. M. Gould, Yueling Loh, Daniel P. Robinson

Constrained Nonlinear Optimization
A Linesearch-based Derivative-free Approach for Nonsmooth Optimization
Giovanni Fasano, Giampaolo Liuzzi, Stefano Lucidi, Francesco Rinaldi

A matrix-free approach to build band preconditioners for large-scale bound-constrained optimization
Valentina De Simone, Daniela di Serafino

Dual equilibrium problems: how a succession of aspiration points converges to an equilibrium
Felipe Garcia Moreno, Paulo Roberto Oliveira, Antoine Soubeyran

Systems governed by Differential Equations Optimization
Second-order necessary conditions in Pontryagin form for optimal control problems
J. Frederic Bonnans, Xavier Dupuis, Laurent Pfeiffer

Systems governed by Differential Equations Optimization
Second-order sufficient conditions for strong solutions to optimal control problems
J. Frederic Bonnans, Xavier Dupuis, Laurent Pfeiffer

Unconstrained Optimization
An inexact and nonmonotone proximal method for smooth unconstrained minimization
S. A. Santos, R. C. M. Silva

Efficient tridiagonal preconditioner for the matrix-free truncated Newton method
Ladislav Luksan, Jan Vlcek

June 2013

A Riemannian symmetric rank-one trust-region method
Wen Huang, P.-A. Absil, K. A. Gallivan

A variable fixing version of the two-block nonlinear constrained Gauss-Seidel algorithm for $\ell_1$-regularized least-squares
Francesco Rinaldi, Margherita Porcelli

Regularizing Bilevel Nonlinear Programs by Lifting
Kathrin Hatz, Sven Leyffer, Johannes P. Schloeder, Hans Georg Bock

Nonlinear Systems and Least-Squares
Family Constraining of Iterative Algorithms
Yair Censor, Ioana Pantelimon, Constantin Popa

July 2013

Constrained Nonlinear Optimization
Theoretical aspects of adopting exact penalty elements within sequential methods for nonlinear programming
Ademir A. Ribeiro, Mael Sachine, Sandra A. Santos

Quadratic Programming
A dual Newton strategy for the efficient solution of sparse quadratic programs arising in SQP-based nonlinear MPC
Janick Frasch, Milan Vukov, Hans Joachim Ferreau, Moritz Diehl

Unconstrained Optimization
Stochastic Derivative-free Optimization using a Trust Region Framework
Jeffrey Larson, Stephen C. Billups

August 2013

Unconstrained Optimization
Algebraic rules for quadratic regularization of Newton's method
Elizabeth W. Karas, Sandra A. Santos, Benar F. Svaiter

Systems governed by Differential Equations Optimization
Optimization of running strategies based on anaerobic energy and variations of velocity
Amandine Aftalion, J. Frédéric Bonnans

Convergence Analysis of DC Algorithm for DC programming with subanalytic data
Hoai An Le Thi, Ngai Huynh Van, Tao Pham Dinh

Constrained Nonlinear Optimization
Projected subgradient minimization versus superiorization
Yair Censor, Ran Davidi, Gabor T. Herman, Reinhard W. Schulte, Luba Tetruashvili

Constrained Nonlinear Optimization
A.F. Izmailov, A.S. Kurennoy, M.V. Solodov

A Sequential Quadratic Optimization Algorithm with Rapid Infeasibility Detection
James Burke, Frank Curtis, Hao Wang

Some Remarks for a Decomposition of Linear-Quadratic Optimal Control Problems for Two-Steps Systems
Shahlar Meherrem

Constrained Nonlinear Optimization
Mini-batch Stochastic Approximation Methods for Constrained Nonconvex Stochastic Programming
Saeed Ghadimi, Guanghui Lan, Hongchao Zhang

Constrained Nonlinear Optimization
A Flexible Inexact Restoration Method and Application to Optimization with Multiobjective Constraints under Weighted-Sum Scalarization
L. F. Bueno, G. Haeser, J. M. Martínez

September 2013

Constrained Nonlinear Optimization
String-Averaging Projected Subgradient Methods for Constrained Minimization
Yair Censor, Alexander J. Zaslavski

Constrained Nonlinear Optimization
The Euclidean distance degree of an algebraic variety
Jan Draisma, Emil Horobet, Giorgio Ottaviani, Bernd Sturmfels, Rekha R. Thomas

Bound-constrained Optimization
On the Incomplete Oblique Projections Method for Solving Box Constrained Least Squares Problems
H Scolnik, N. Echebest, MT Guardarucci

On the use of iterative methods in cubic regularization for unconstrained optimization
Tommaso Bianconcini, Giampaolo Liuzzi, Benedetta Morini, Marco Sciandrone

A new and improved quantitative recovery analysis for iterative hard thresholding algorithms in compressed sensing
Coralia Cartis, Andrew Thompson

Constrained Nonlinear Optimization
Complementarity Formulations of l0 -norm Optimization Problems
Mingbin Feng, John E Mitchell, Jong-Shi Pang, Xin Shen, Andreas Wächter

October 2013

Constrained Nonlinear Optimization
Constant rank constraint qualifications: a geometric introduction
Roberto Andreani, Paulo J. S. Silva

Unconstrained Optimization
The divergence of the BFGS and the Gauss Newton Methods
Walter F. Mascarenhas

Quadratic Programming
An Active-Set Quadratic Programming Method Based On Sequential Hot-Starts
Travis C Johnson, Christian Kirches, Andreas Wächter

Unconstrained Optimization
Quasi-Newton updates with weighted secant equations
Serge Gratton, Vincent Malmedy, Philippe L. Toint

Quadratic Programming
A feasible active set method for convex problems with simple bounds
Philipp Hungerländer, Franz Rendl

An efficient gradient method using the Yuan steplength
Roberta De Asmundis, Daniela di Serafino, Gerardo Toraldo

A Regularized SQP Method with Convergence to Second-Order Optimal Points
Philip E. Gill, Vyacheslav Kungurtsev, Daniel P. Robinson

Finding Diverse Solutions of High Quality to Binary Integer Programs
Andrew C. Trapp, Renata A. Konrad

November 2013

An alternative proof of a PTAS for fixed-degree polynomial optimization over the simplex
Etienne de Klerk, Monique Laurent, Zhao Sun

An efficient gradient method using the Yuan steplength
Roberta De Asmundis, Daniela di Serafino, Gerardo Toraldo

Quadratic Programming
A Parallel Quadratic Programming Method for Dynamic Optimization Problems
Janick Frasch, Sebastian Sager, Moritz Diehl

A Derivative-Free Algorithm for Constrained Global Optimization based on Exact Penalty Functions
G. Di Pillo, S. Lucidi, F. Rinaldi

Derivative-free Robust Optimization for Circuit Design
A. Ciccazzo, V. Latorre, G. Liuzzi, S. Lucidi, F. Rinaldi

Constrained Nonlinear Optimization
A fast fixed point algorithm for a class of nonlinear programming problems
Ashok Belegundu

Quadratic Programming
Narrowing the difficulty gap for the Celis-Dennis-Tapia problem
Immanuel M. Bomze, Michael L. Overton

Quadratic Programming
Copositive relaxation beats Lagrangian dual bounds in quadratically and linearly constrained QPs
Immanuel M. Bomze

Unconstrained Optimization
On Efficiently Combining Limited Memory and Trust-Region Techniques
Oleg Burdakov, Lujin Gong, Ya-xiang Yuan, Spartak Zikrin

Quadratic Programming
Updating constraint preconditioners for KKT systems in quadratic programming via low-rank corrections
Stefania Bellavia, Valentina De Simone, Daniela di Serafino, Benedetta Morini

December 2013

Quadratic Programming
A Revisit to Quadratic Programming with One Inequality Quadratic Constraint via Matrix Pencil
Hsia Yong, Lin Gang-Xuan, Sheu Ruey-Lin

Penalty Methods with Stochastic Approximation for Stochastic Nonlinear Programming
Xiao Wang, Shiqian Ma, Ya-xiang Yuan

Preconditioning issues in the numerical solution of nonlinear equations and nonlinear least squares
Stefania Bellavia, Margherita Porcelli

An Interior-Point Trust-Funnel Algorithm for Nonlinear Optimization
Frank E. Curtis, Nicholas I. M. Gould, Daniel P. Robinson, Philippe L. Toint

Matrix-Free Solvers for Exact Penalty Subproblems
James V. Burke, Frank E. Curtis, Hao Wang, Jiashan Wang

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