Local convergence of collinear scaling algorithms related to direct least-change secant update methods for minimization (Q1281792)
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scientific article; zbMATH DE number 1268411
| Language | Label | Description | Also known as |
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| English | Local convergence of collinear scaling algorithms related to direct least-change secant update methods for minimization |
scientific article; zbMATH DE number 1268411 |
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Local convergence of collinear scaling algorithms related to direct least-change secant update methods for minimization (English)
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22 March 1999
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The purpose of the present paper is to derive collinear scaling algorithms for the problem: Find a local minimizer of the function \(F\), where \(F\in{\mathcal C}^2(X)\), \(X\subset\mathbb{R}\) open, with \(F''(x)= C(x)+ S(x)\) and \(C(x)\) ``easily computable'', \(S(x)\) ``difficult to compute''. Theorems on local and \(q\)-superlinear convergence of these algorithms are given.
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local convergence
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direct least-change secant update methods
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superlinear convergence
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collinear scaling algorithms
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