The accurate solution of certain continuous problems using only single precision arithmetic-Reference-Cited by-同舟云学术

The accurate solution of certain continuous problems using only single precision arithmetic

Published:1985-12 Issue:4 Volume:25 Page:635-651
ISSN:0006-3835
Container-title:BIT
language:en
Short-container-title:BIT

Author:

Jankowski M.,Woźniakowski H.

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Computational Mathematics,Computer Networks and Communications,Software

Link

http://link.springer.com/content/pdf/10.1007/BF01936142.pdf

Reference12 articles.

1. O. Axelsson and I. Gustafsson,A preconditioned conjugate gradient method for finite element equations, which is stable for rounding errors. Inf. Proc. 80, pp. 723–728.

2. I. Babuška,Numerical stability in problems of linear algebra. SIAM J. Num. Anal., 1972, 9, pp. 53–77.

3. M. Jankowski, A. Smoktunowicz and H. Woźniakowski,A note on floating-point summation of very many terms. Journal of Information Processing and Cybernetics-EIK, 19 (1983) 9, 435–440.

4. M. Jankowski, and H. Woźniakowski,Iterative refinement implies numerical stability. BIT, 17 (1977), pp. 303–311.

5. A. Kielbasiński,Summation algorithm with corrections and some of its applications, Math. Stos., 1973, I, pp. 22–41 (in Polish).

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