Title
Useful computations need useful numbers
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.
Year
DOI
Venue
2007
10.1145/1358190.1358192
ACM Comm. Computer Algebra
Keywords
Field
DocType
exact rational arithmetic,approximate result,approximate number,exact result,useful number,long time,computer algebra system,adjustable-precision floating-point arithmetic,useful computation,intelligible result,total computer memory,error bound,floating point arithmetic
Discrete mathematics,Ask price,Algebra,Symbolic computation,Computer memory,Mathematics,Computation
Journal
Volume
Issue
Citations 
41
3
3
PageRank 
References 
Authors
0.48
8
1
Name
Order
Citations
PageRank
David R. Stoutemyer14919.14