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Globalizing stabilized sequential quadratic programming method by smooth primal-dual exact penalty function - MaRDI portal

Globalizing stabilized sequential quadratic programming method by smooth primal-dual exact penalty function (Q289075)

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scientific article; zbMATH DE number 6586780
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Globalizing stabilized sequential quadratic programming method by smooth primal-dual exact penalty function
scientific article; zbMATH DE number 6586780

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    Globalizing stabilized sequential quadratic programming method by smooth primal-dual exact penalty function (English)
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    27 May 2016
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    The authors propose a globalization approach to the stabilized sequential quadratic programming method (sSQP), by using line search in sSQP directions for minimizing the two-parameter primal-dual merit function of \textit{G. Di Pillo} and \textit{L. Grippo} [SIAM J. Control Optim. 17, 618--628 (1979; Zbl 0418.90077)]. Global convergence properties and the rate of convergence of the proposed algorithm are established. Computational experiments are also provided.
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    stabilized sequential quadratic programming
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    superlinear convergence
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    global convergence
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    exact penalty function
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    second-order sufficiency
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    noncritical Lagrange multiplier
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    numerical examples
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    primal-dual merit function
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    algorithm
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