Optimization Online


Nonlinear Optimization Submissions - 2006

January 2006

Unconstrained Optimization
On the behavior of the conjugate-gradient method on ill-conditioned problems
Anders Forsgren

Nonlinear Systems and Least-Squares
Kantorovich's Majorants Principle for Newton's Method
Orizon Ferreira, Benar Svaiter

Continuous Optimization Methods for Structure Alignments
Roberto Andreani, José Mario Martínez , Leandro Martínez , Flavio Yano

February 2006

Unconstrained Optimization
Second-order convergence properties of trust-region methods using incomplete curvature information, with an application to multigrid optimization
Serge Gratton, Annick Sartenaer, Philippe Toint

Constrained Nonlinear Optimization
A local convergence property of primal-dual methods for nonlinear programming
Paul Armand, Benoist Joël

April 2006

Constrained Nonlinear Optimization
Cubic regularization of Newton's method for convex problems with constraints
Yurii Nesterov

Systems governed by Differential Equations Optimization
Primal-dual interior point methods for PDE-constrained optimization
Michael Ulbrich, Stefan Ulbrich

Unconstrained Optimization
Using Partial Separability of Functions in Generating Set Search Methods for Unconstrained Optimisation
Lennart Frimannslund, Trond Steihaug

May 2006

Unconstrained Optimization
Coordinate and Subspace Optimization Methods for Linear Least Squares with Non-Quadratic Regularization
Michael Elad, Boaz Matalon, Michael Zibulevsky

Exploiting Equalities in Polynomial Programming
Vera Juan, Pena Javier, Luis Zuluaga

Constrained Nonlinear Optimization
Recognizing Underlying Sparsity in Optimization
Sunyoung Kim, Masakazu Kojima, Philippe Toint

June 2006

Unconstrained Optimization
Convergence of the Proximal Point Method for Quasiconvex Minimization
Erik Papa Quiroz, Paulo Roberto Oliveira

Unconstrained Optimization
On the divergence of line search methods
Walter F. Mascarenhas

Nonlinear Systems and Least-Squares
An Accelerated Newton Method for Equations with Semismooth Jacobians and Nonlinear Complementarity Problems
Christina Oberlin, Stephen J. Wright

Convergence analysis of Riemannian trust-region methods
P.-A. Absil, C. G. Baker, K. A. Gallivan

Unconstrained Optimization
Convergence of the Proximal Point Method for Quasiconvex Minimization
Erik Papa Quiroz, Paulo Roberto Oliveira

Numerical Experience with a Recursive Trust-Region Method for Multilevel Nonlinear Optimization
Serge Gratton, Annick Sartenaer, Philippe L. Toint

July 2006

Unconstrained Optimization
Variational Problems in Quasi-Newton Methods
Osman Guler, Filiz Gurtuna, Olena Shevchenko

A Proximal Point Algorithm with phi-Divergence to Quasiconvex Programming
F. G. M. Cunha, J. X. da Cruz Neto, P. R. Oliveira

Constrained Nonlinear Optimization
Alternating projections on manifolds
Adrian Lewis, Jerome Malick

August 2006

Multiplier convergence in trust-region methods with application to convergence of decomposition methods for MPECs
Giovanni Giallombardo, Daniel Ralph

Constrained Nonlinear Optimization
Search via Probability Algorithm for Single-Objective Optimization Problems
Thong Nguyen Huu, Hao Tran Van

September 2006

Modified Cholesky Algorithms: A Catalog with New Approaches
Fang Haw-ren, O'Leary Dianne

Quadratic Programming
Gradient Projection for General Quadratic Programs
Sven Leyffer, Michael P. Friedlander

October 2006

A Brief History of Filter Methods
R Fletcher, S. Leyffer, Ph. T. Toint

Constrained Nonlinear Optimization
Simplex-type algorithm for optimizing a pseudolinear quadratic fractional function over a polytope
Ujvári Miklós

Unconstrained Optimization
Global Convergence of General Derivative-Free Trust-Region Algorithms to First and Second Order Critical Points
A. R. Conn, K. Scheinberg, L. N. Vicente

Unconstrained Optimization
Using Simplex Gradients of Nonsmooth Functions in Direct Search Methods
A. L. Custódio, J. E. Dennis, L. N. Vicente

November 2006

Constrained Nonlinear Optimization
The Hybrid Maximum Principle is a consequence of Pontryagin Maximum Principle
Andrei Dmitruk, Alexander Kaganovich

A Filter Algorithm for Nonlinear Semidefinite Programming
Walter Gómez, Héctor Ramírez

Inexact SQP Methods for Equality Constrained Optimization
Richard Byrd, Frank Curtis, Jorge Nocedal

Constrained Nonlinear Optimization
On Practical Second-Order Optimality Conditions for Nonlinear Programming
Roberto Andreani, José Mario Martínez, María Laura Schuverdt

Constrained Nonlinear Optimization
Mihai Anitescu

December 2006

Quadratic Programming
A New Unblocking Technique to Warmstart Interior Point Methods based on Sensitivity Analysis
Jacek Gondzio, Andreas Grothey

Constrained Nonlinear Optimization
Global convergence of slanting filter methods for nonlinear programming
Elizabeth W. Karas, Ana Paula Oening, Ademir A. Ribeiro

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