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Author Chartres, Bruce A. ♦ Geuder, James C.
Source ACM Digital Library
Content type Text
Publisher Association for Computing Machinery (ACM)
File Format PDF
Copyright Year ©1967
Language English
Subject Domain (in DDC) Computer science, information & general works ♦ Data processing & computer science
Abstract An error analysis of direct methods (i.e., Gaussian elimination or triangular factorization) of solving simultaneous linear algebraic equations is performed in the backward mode, in which the computational errors are expressed as perturbations on the data. Bounds are found for perturbations on the coefficients of the equations, leaving the right-hand sides unchanged. These bounds can be evaluated concurrently with the computation itself, with only a small increase in computing effort. Because they use information obtained during the solution process, these bounds avoid exaggerating the magnitude of the error, and so are also useful as error estimates.
ISSN 00045411
Age Range 18 to 22 years ♦ above 22 year
Educational Use Research
Education Level UG and PG
Learning Resource Type Article
Publisher Date 1967-01-01
Publisher Place New York
e-ISSN 1557735X
Journal Journal of the ACM (JACM)
Volume Number 14
Issue Number 1
Page Count 9
Starting Page 63
Ending Page 71

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Source: ACM Digital Library