A fast Newton algorithm for entropy maximization in phase determination (Q2780622)

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scientific article; zbMATH DE number 1729232
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A fast Newton algorithm for entropy maximization in phase determination
scientific article; zbMATH DE number 1729232

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    15 April 2002
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    X-ray crystallography
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    protein structure determination
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    entropy maximization
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    Newton's method
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    Fourier transform
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    convolution
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    numerical examples
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    algorithm
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    A fast Newton algorithm for entropy maximization in phase determination (English)
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    The authors study the entropy maximization problem in the Bayesian statistical approach to the phase problem of X-ray crystallography. The entropy maximization problem is a semi-infinite convex program and can be solved in a finite dual space by using a standard Newton method. This Newton method is too expensive for this application. Therefore, a fast Newton algorithm is presented. Computational results are given.
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