@article{TURING01011948,
    Abstract = {A number of methods of solving sets of linear equations and inverting matrices are discussed. The theory of the rounding-off errors involved is investigated for some of the methods. In all cases examined, including the well-known `Gauss elimination process', it is found that the errors are normally quite moderate: no exponential build-up need occur.Included amongst the methods considered is a generalization of Choleski's method which appears to have advantages over other known methods both as regards accuracy and convenience. This method may also be regarded as a rearrangement of the elimination process.},
    Author = {Turing, A.},
    EPrint = {http://qjmam.oxfordjournals.org/content/1/1/287.full.pdf+html},
    File = {ROUNDING-OFF ERRORS IN MATRIX PROCESSES - TURING (0) (0) - a - a - z.pdf},
    Journal = {The Quarterly Journal of Mechanics and Applied Mathematics},
    Number = {1},
    Pages = {287--308},
    Title = {Rounding-off errors in matrix processes},
    URL = {http://qjmam.oxfordjournals.org/content/1/1/287.abstract},
    Volume = {1},
    Year = {1948},
    bdsk-url-1 = {http://qjmam.oxfordjournals.org/content/1/1/287.abstract},
    bdsk-url-2 = {http://dx.doi.org/10.1093/qjmam/1.1.287},
    date-added = {2016-06-08 11:00:00 +0000},
    date-modified = {2016-06-08 19:54:19 +0000},
    file-2 = {ROUNDING-OFF ERRORS IN MATRIX PROCESSES - TURING (1) (0) - a - a - z.pdf},
    doi = {10.1093/qjmam/1.1.287}
}

@article{TURING01011948, Abstract = {A number of methods of solving sets of linear equations and inverting matrices are discussed. The theory of the rounding-off errors involved is investigated for some of the methods. In all cases examined, including the well-known `Gauss elimination process', it is found that the errors are normally quite moderate: no exponential build-up need occur.Included amongst the methods considered is a generalization of Choleski's method which appears to have advantages over other known methods both as regards accuracy and convenience. This method may also be regarded as a rearrangement of the elimination process.}, Author = {Turing, A.}, EPrint = {http://qjmam.oxfordjournals.org/content/1/1/287.full.pdf+html}, File = {ROUNDING-OFF ERRORS IN MATRIX PROCESSES - TURING (0) (0) - a - a - z.pdf}, Journal = {The Quarterly Journal of Mechanics and Applied Mathematics}, Number = {1}, Pages = {287--308}, Title = {Rounding-off errors in matrix processes}, URL = {http://qjmam.oxfordjournals.org/content/1/1/287.abstract}, Volume = {1}, Year = {1948}, bdsk-url-1 = {http://qjmam.oxfordjournals.org/content/1/1/287.abstract}, bdsk-url-2 = {http://dx.doi.org/10.1093/qjmam/1.1.287}, date-added = {2016-06-08 11:00:00 +0000}, date-modified = {2016-06-08 19:54:19 +0000}, file-2 = {ROUNDING-OFF ERRORS IN MATRIX PROCESSES - TURING (1) (0) - a - a - z.pdf}, doi = {10.1093/qjmam/1.1.287} }