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Numerical study of a matrix-free trust-region SQP method for equality constrained optimization.
Author(s) -
Matthias Heinkenschloss,
Denis Ridzal,
Miguel A. Aguiló
Publication year - 2011
Publication title -
osti oai (u.s. department of energy office of scientific and technical information)
Language(s) - English
Resource type - Reports
DOI - 10.2172/1038211
Subject(s) - sequential quadratic programming , trust region , mathematical optimization , matrix (chemical analysis) , quadratic programming , mathematics , constrained optimization , variety (cybernetics) , iterative method , optimization problem , computer science , statistics , materials science , computer security , radius , composite material
This is a companion publication to the paper 'A Matrix-Free Trust-Region SQP Algorithm for Equality Constrained Optimization' [11]. In [11], we develop and analyze a trust-region sequential quadratic programming (SQP) method that supports the matrix-free (iterative, in-exact) solution of linear systems. In this report, we document the numerical behavior of the algorithm applied to a variety of equality constrained optimization problems, with constraints given by partial differential equations (PDEs)

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