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The '''Rybicki–Press algorithm''' is a fast direct algorithm for inverting a matrix, whose entries are given by <math>A(i,j) = \exp(-a \vert t_i - t_j \vert)</math>, where <math>a \in \mathbb{R}</math>.<ref>{{citation
|last1 = Rybicki|first1 = George B.|last2 = Press|first2 = William H.|arxiv = comp-gas/9405004|doi = 10.1103/PhysRevLett.74.1060|journal = Physical Review Letters|page = 1060|title = Class of fast methods for processing Irregularly sampled or otherwise inhomogeneous one-dimensional data|volume = 74|year = 1995}} {{Open access}}</ref> It is a computational optimization of a general set of statistical methods developed to determine whether two noisy, irregularly sampled data sets are, in fact, dimensionally shifted representations of the same underlying function.<ref>{{Cite journal|url = |title = Interpolation, realization, and reconstruction of noisy, irregularly sampled data|last = Rybicki|first = George B.|date = October 1992|journal = The Astrophysical Journal|doi = 10.1086/171845|pmid = |access-date = 2015-07-24|last2 = Press|first2 = William H.}}{{Open access}}</ref><ref>{{Cite journal|url = |title = Quasar Selection Based on Photometric Variability|last = McLeod|first = C. L.|date = February 2011|journal = The Astrophysical Journal|doi = 10.1088/0004-637X/728/1/26|pmid = |access-date = 2015-07-24|last2 = et al.}}{{Open access}}</ref>{{Rp|2}} The most common use of the algorithm as of 2015 is in the detection of periodicity in astronomical observations.{{Citation needed|date = July 2015}}
==References==
{{Reflist}}.[[Category:Numerical linear algebra]]▼
▲[[Category:Numerical linear algebra]]
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