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Applying Infeasible Interior Point Method to SQP for Constrained Nonlinear Programming

Authors: Hassan A. Bashir; Ximing Liang; Shanchun Li;

Applying Infeasible Interior Point Method to SQP for Constrained Nonlinear Programming

Abstract

Active set (AS) method suffers deteriorating performance and premature convergence when it is faced with a nonlinear programming problem (NLP) consisting of several inequality constraints. Thus, we propose an SQP/IPM algorithm that uses infeasible interior point method (IIPM) for solving quadratic programming (QP) subproblems. In this approach inequality constraints can be solved directly, alleviating the burden for choosing a feasible starting point necessary for efficient convergence to optimal active set. At every iteration k, we evaluate step length adaptively via a simple line search or a quadratic search algorithm depending on the QP subproblem. Benchmark NLPs are used for performance assessment and our SQP/IPM algorithm proves to be efficient and promising.

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
1
Average
Average
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