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  1. ACM Communications in Computer Algebra (ACCA)
  2. Volume 41
  3. Volume 41, Issue 3, September 2007 issue 161
  4. Useful computations need useful numbers
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Volume 51
Volume 50
Volume 49
Volume 48
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Volume 46
Volume 45
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Volume 42
Volume 41
Volume 41, Issue 4, December 2007 issue 162
Volume 41, Issue 3, September 2007 issue 161
Useful computations need useful numbers
Symbolic-algebraic methods for linear partial differential operators
DISCOVERER
Fast algorithms, modular methods, parallel approaches and software engineering for solving polynomial systems symbolically
PGB
SNAP package for Mathematica
Implementation of CGS and CGB on Risa/Asir and other computer algebra systems using Suzuki-Sato algorithm
GAP
ALLTYPES in the web
A maple library for high performance sparse polynomial arithmetic
CoCoA
SyNRAC
AXIOM
Volume 41, Issue 1-2, March-June 2007 issues 159-160
Volume 40

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Useful computations need useful numbers

Content Provider ACM Digital Library
Author Stoutemyer, David R.
Abstract Most of us have taken the exact rational and approximate numbers in our computer algebra systems for granted for a long time, not thinking to ask if they could be significantly better. With exact rational arithmetic and adjustable-precision floating-point arithmetic to precision limited only by the total computer memory or our patience, what more could we want for such numbers? It turns out that there is much more that can be done that permits us to obtain exact results more often, more intelligible results, approximate results guaranteed to have requested error bounds, and recovery of exact results from approximate ones.
Starting Page 75
Ending Page 99
Page Count 25
File Format PDF
ISSN 19322240
DOI 10.1145/1358190.1358192
Journal ACM Communications in Computer Algebra (ACCA)
Volume Number 41
Issue Number 3
Language English
Publisher Association for Computing Machinery (ACM)
Publisher Date 2015-02-05
Publisher Place New York
Access Restriction One Nation One Subscription (ONOS)
Content Type Text
Resource Type Article
Subject Computational Theory and Mathematics Computational Mathematics
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