Line Search Filter Methods for Nonlinear Programming: Motivation and Global Convergence
SIAM Journal on Computing
Test Examples for Nonlinear Programming Codes
Test Examples for Nonlinear Programming Codes
On the Global Convergence of a Filter--SQP Algorithm
SIAM Journal on Optimization
A Trust-Region Approach to Nonlinear Systems of Equalities and Inequalities
SIAM Journal on Optimization
Global Convergence of a Trust-Region SQP-Filter Algorithm for General Nonlinear Programming
SIAM Journal on Optimization
A Globally Convergent Filter Method for Nonlinear Programming
SIAM Journal on Optimization
STRSCNE: A Scaled Trust-Region Solver for Constrained Nonlinear Equations
Computational Optimization and Applications
A Pattern Search Filter Method for Nonlinear Programming without Derivatives
SIAM Journal on Optimization
On the superlinear local convergence of a filter-SQP method
Mathematical Programming: Series A and B
A globally convergent primal-dual interior-point filter method for nonlinear programming
Mathematical Programming: Series A and B
A Multidimensional Filter Algorithm for Nonlinear Equations and Nonlinear Least-Squares
SIAM Journal on Optimization
An interior-point method for solving box-constrained underdetermined nonlinear systems
Journal of Computational and Applied Mathematics
Line Search Filter Methods for Nonlinear Programming: Local Convergence
SIAM Journal on Optimization
A Filter-Trust-Region Method for Unconstrained Optimization
SIAM Journal on Optimization
LION'10 Proceedings of the 4th international conference on Learning and intelligent optimization
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In this paper, we propose a new filter line search SQP method in which the violations of equality and inequality constraints are considered separately. Thus the filter in our algorithm is composed by three components: objective function value, equality and inequality constraints violations. The filter with three components accepts reasonable steps flexibly, comparing that with two components. The new filter shares some features with the Chin and Fletcher's approach, namely the ''slanting envelope'' and the ''inclusion property''. Under mild conditions, the filter line search SQP method is proven to be globally convergent. Numerical experiments also show the efficiency of our method.