Precise computation using range arithmetic, via C++-Reference-Cited by-同舟云学术

Precise computation using range arithmetic, via C++

Published:1992-12 Issue:4 Volume:18 Page:481-491
ISSN:0098-3500
Container-title:ACM Transactions on Mathematical Software
language:en
Short-container-title:ACM Trans. Math. Softw.

Author:

Aberth Oliver,Schaefer Mark J.

Abstract

An arithmetic is described that can replace floating-point arithmetic for programming tasks requiring assured accuracy. A general explanation is given of how the arithmetic is constructed with C++, and a programming example in this language is supplied. Times for solving representative problems are presented.

Publisher

Association for Computing Machinery (ACM)

Subject

Applied Mathematics,Software

Link

https://dl.acm.org/doi/pdf/10.1145/138351.138377

Reference20 articles.

1. ABERTIt O. Preczse Numerwa! Analyszs. Wm. C. Brown Publishers Dubuque Iowa 1988. ABERTIt O. Preczse Numerwa! Analyszs. Wm. C. Brown Publishers Dubuque Iowa 1988.

2. ABERTH 0. AND SCHAEFER M.J. Precise matrix eigenvalues using range arithmetm. J. Matrix Anal. Appl. 14 i (Jan. 1993). 10.1137/0614018 ABERTH 0. AND SCHAEFER M.J. Precise matrix eigenvalues using range arithmetm. J. Matrix Anal. Appl. 14 i (Jan. 1993). 10.1137/0614018

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