Iterative Refinement in Floating Point-Reference-Cited by-同舟云学术

Iterative Refinement in Floating Point

Published:1967-04 Issue:2 Volume:14 Page:316-321
ISSN:0004-5411
Container-title:Journal of the ACM
language:en
Short-container-title:J. ACM

Author:

Moler Cleve B.¹

Affiliation:

1. Department of Mathematics, University of Michigan, Ann Arbor, Michigan and Swiss Federal Institute of Technology, Zurich, Switzerland

Abstract

Iterative refinement reduces the roundoff errors in the computed solution to a system of linear equations. Only one step requires higher precision arithmetic. If sufficiently high precision is used, the final result is shown to be very accurate.

Publisher

Association for Computing Machinery (ACM)

Subject

Artificial Intelligence,Hardware and Architecture,Information Systems,Control and Systems Engineering,Software

Link

https://dl.acm.org/doi/pdf/10.1145/321386.321394

Reference6 articles.

1. Algorithm 135: Crout with equilibration and iteration

2. Iterative refinement of the solution of positive definite system of equations;MARTIN R. S.;Numer. Math.,1966

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