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A convergent secant method for constrained optimization - MaRDI portal

A convergent secant method for constrained optimization (Q1335568)

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scientific article; zbMATH DE number 650936
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A convergent secant method for constrained optimization
scientific article; zbMATH DE number 650936

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    A convergent secant method for constrained optimization (English)
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    16 October 1994
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    The authors combine a secant method with a trust region strategy so that the resulting algorithm not only has a local two-step superlinear rate, but also globally converges to Karush-Kuhn-Tucker points. The condition for proving these convergence properties is weaker than that of some trust region methods which use reduced Hessian as a tool. A minor revision of this algorithm is shown to possess a one-step superlinear rate.
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    constrained optimization
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    projective matrix
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    secant method
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    algorithm
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    convergence
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    trust region methods
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