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Nonlinear Optimization Submissions - 2009

January 2009

A Sequential Quadratic Programming Algorithm with an Additional Equality Constrained Phase
Jose Luis Morales, Jorge Nocedal, Yuchen Wu

Constrained Nonlinear Optimization
A second derivative SQP method: local convergence
Nicholas I. M. Gould, Daniel P. Robinson

A Line Search Exact Penalty Method Using Steering Rules
Richard Byrd, Gabriel Lopez-Calva, Jorge Nocedal

Constrained Nonlinear Optimization
An interior point algorithm for nonlinear minimax problems
Enitan Obasanjo, George Tzallas-Regas, Berc Rustem

The Advanced Step NMPC Controller: Optimality, Stability and Robustness
Victor M Zavala, Lorenz T Biegler


February 2009

Unconstrained Optimization
Self-correcting geometry in model-based algorithms for derivative-free unconstrained optimization
Katya Scheinberg, Philippe L. Toint

Systems governed by Differential Equations Optimization
The Integer Approximation Error in Mixed-Integer Optimal Control
Sebastian Sager, Hans Georg Bock, Moritz Diehl

An Interior-Point Algorithm for Large-Scale Nonlinear Optimization with Inexact Step Computations
Frank E Curtis, Olaf Schenk, Andreas Waechter

The Constant Rank Condition is a second order constraint qualification
Roberto Andreani, Carlos Eugenio Echagüe, María Laura Schuverdt

Unconstrained Optimization
On solving trust-region and other regularised subproblems in optimization
Sue Dollar, Nick Gould, Daniel Robinson

Constrained Nonlinear Optimization
An Active Set Strategy for Solving Optimization Problems with up to 200,000,000 Nonlinear Constraints
Klaus Schittkowski

Constrained Nonlinear Optimization
An adaptive cubic regularisation algorithm for nonconvex optimization with convex constraints and its function-evaluation complexity
Coralia Cartis, Nick Gould, Philippe Toint

Transformations enabling to construct limited-memory Broyden class methods
Jan Vlcek, Ladislav Luksan

Limited-memory projective variable metric methods for unconstrained minimization
Jan Vlcek, Ladislav Luksan

Computational experience with modified conjugate gradient methods for unconstrained optimization
Ladislav Luksan, Ctirad Matonoha, Jan Vlcek

Interior-point method for nonlinear programming with complementarity constraints
Ladislav Luksan, Ctirad Matonoha, Jan Vlcek


March 2009

A practical method for solving large-scale TRS
M.S. Apostolopoulou, D.G. Sotiropoulos, C.A. Botsaris, P. Pintelas

Bound-constrained Optimization
Solving the Sensor Network Localization Problem using an Heuristic Multistage Approach
Andrea Cassioli


April 2009

TRESNEI, a Matlab trust-region solver for systems of nonlinear equalities and inequalities
Benedetta Morini, Margherita Porcelli

A Derivative-Free Algorithm for the Least-square minimization
Hongchao Zhang, Andrew Conn, Katya Scheinberg

Constrained Nonlinear Optimization
Switching stepsize strategies for PDIP
George Tzallas-Regas, Berc Rustem


June 2009

Quadratic Programming
Starting-Point Strategies for an Infeasible Potential Reduction Method
Marco D'Apuzzo, Valentina De Simone, Daniela di Serafino

On Sequential Optimality Conditions
Roberto Andreani , Gabriel Haeser , José M. Martínez

A new bound on the multipliers given by Caratheodory's theorem and a result on the internal penalty method
Gabriel Haeser


July 2009

A Combined Class of Self-Scaling and Modified Quasi-Newton Methods
Mehiddin Al-Baali, Humaid Khalfan

Constrained Nonlinear Optimization
An Augmented Lagrangian Approach for Sparse Principal Component Analysis
Zhaosong Lu, Yong Zhang

"Seminorm-induced oblique projections for sparse nonlinear convex feasibility problems"
Alexander Segal, Yair Censor

"On String-Averaging for Sparse Problems and On the Split Common Fixed Point Problem"
Yair Censor, Alexander Segal


August 2009

Quasi-Newton methods on Grassmannians and multilinear approximations of tensors
Berkant Savas, Lek-Heng Lim

Constrained Nonlinear Optimization
All roads lead to Newton: Feasible second-order methods for equality-constrained optimization
P.-A. Absil, Jochen Trumpf, Robert Mahony, Ben Andrews


September 2009

Quadratic Programming
Block Structured Quadratic Programming for the Direct Multiple Shooting Method for Optimal Control
Christian Kirches, Hans Georg Bock, Johannes P. Schlöder, Sebastian Sager

Further Study on Strong Lagrangian Duality Property for Invex Programs via Penalty Functions
J. Zhang, X. X. Huang

Hager-Zhang Active Set Algorithm for Large-Scale Continuous Knapsack Problems
Ruhollah Tavakoli

Unconstrained Optimization
On the Stopping Criterion for Numerical Methods Used to Solve Linear Systems with Additive Gaussian Noise
Benoit Hamelin, Yves Goussard, Jean-Pierre Dussault

A globally convergent modified conjugate-gradient line-search algorithm with intertia controlling
Wenwen Zhou, Joshua D. Griffin, Ioannis G. Akrotirianakis


October 2009

Approximate KKT condition for variational inequality problems
Gabriel Haeser, Maria Laura Schuverdt

Quadratic Programming
Matrix-Free Interior Point Method
Jacek Gondzio

Analysis of direct searches for non-Lipschitzian functions
L. N. Vicente, A. L. Custódio

Bound-constrained Optimization
Stopping rules and backward error analysis for bound-constrained optimization
Serge Gratton, Melodie Mouffe, Philippe Toint

Unconstrained Optimization
On the complexity of steepest descent, Newton's and regularized Newton's methods for nonconvex unconstrained optimization
Coralia Cartis, Nick Gould, Philippe Toint

Nonmonotone Filter Method for Nonlinear Optimization
Chungen Chen, Roger Fletcher, Sven Leyffer

Exact Penalty Functions for Nonlinear Integer Programming Problems
S. Lucidi , F. Rinaldi


November 2009

Quadratic Programming
A Factorization with Update Procedures for a KKT Matrix Arising in Direct Optimal Control
Christian Kirches, Hans Georg Bock, Johannes P. Schlöder, Sebastian Sager

A new sequential optimality condition for constrained optimization and algorithmic consequences
Roberto Andreani , José Mario Martínez, Benar F. Svaiter

Nonlinear Systems and Least-Squares
Data Fitting and Experimental Design in Dynamical Systems with EASY-FIT ModelDesign
Klaus Schittkowski

Systems governed by Differential Equations Optimization
A Collection of 1,300 Dynamical Systems for Testing Data Fitting, Optimal Control, Experimental Design, Identification, Simulation or Similar Software - User's Guide
Klaus Schittkowski

Nonlinear Systems and Least-Squares
A sufficiently exact inexact Newton step based on reusing matrix information
Anders Forsgren

On nonlinear optimization since 1959
MJD Powell


December 2009

Unconstrained Optimization
Using approximate secant equations in limited memory methods for multilevel unconstrained optimization
Serge Gratton, Vincent Malmedy, Philppe L. Toint

Unconstrained Optimization
A three-term conjugate gradient method with sufficient descent property for unconstrained optimization
Y Narushima, H Yabe, J.A Ford

Nonlinear Systems and Least-Squares
On affine scaling inexact dogleg methods for bound-constrained nonlinear systems
Stefania Bellavia, Maria Macconi, Sandra Pieraccini

Nonlinear Systems and Least-Squares
Constrained Dogleg Methods for nonlinear systems with simple bounds
Stefania Bellavia, Maria Macconi, Sandra Pieraccini


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