A new least-squares refinement technique based on the fast Fourier transform algorithm

1978 Acta Crystallographica Section A 192 citations

Abstract

A new atomic-parameters least-squares refinement method is presented which makes use of the fast Fourier transform algorithm at all stages of the computation. For large structures, the amount of computation is almost proportional to the size of the structure making it very attractive for large biological structures such as proteins. In addition the method has a radius of convergence of approximately 0.75 Å making it applicable at a very early stage of the structure-determination process. The method has been tested on hypothetical as well as real structures. The method has been used to refine the structure of insulin at 1.5 Å resolution, barium beauvuricin complex at 1.2 Å resolution, and myoglobin at 2 Å resolution. Details of the method and brief summaries of its applications are presented in the paper.

Keywords

AlgorithmComputationFourier transformConvergence (economics)Resolution (logic)Fast Fourier transformComputer scienceLeast-squares function approximationMathematicsArtificial intelligenceMathematical analysis

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Publication Info

Year
1978
Type
article
Volume
34
Issue
5
Pages
791-809
Citations
192
Access
Closed

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R. C. Agarwal (1978). A new least-squares refinement technique based on the fast Fourier transform algorithm. Acta Crystallographica Section A , 34 (5) , 791-809. https://doi.org/10.1107/s0567739478001618

Identifiers

DOI
10.1107/s0567739478001618