Fast Algorithm for Likelihood Evaluation of Mega-Pixel Maps

Details Fast Algorithm for Likelihood Evaluation of Mega-Pixel Maps Fast Algorithm for Likelihood Evaluation of Mega-Pixel Maps

May 1998

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1998aas...192.7005k&link_type=abstract

American Astronomical Society, 192nd AAS Meeting, #70.05; Bulletin of the American Astronomical Society, Vol. 30, p.926

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Scientific paper

Maximum likelihood estimation of cosmological parameters from maps of the cosmic microwave background requires two computationally expensive steps: a chi (2) evaluation and a matrix determinant. Standard algorithms, applied to maps with N pixels, require O(N(3)) operations and are prohibitively expensive in CPU time. I present an approximate method requiring N(2) log (N) operations and discuss applications for the MAP, Planck, and balloon-borne CMB data sets.

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