Title
Automatic Error Analysis Using Computer Algebraic Manipulation
Abstract
The inherent error and the floating-point roundoff error of an expression can be determined automatically using a computer algebra language such as REDUCE. The total error is algebraically determined as a linear combination of individual data errors and roundoff errors, with the coefficient of each error being a function of the data values. This result may be subjected to further automatic analysis to determine algebraically the variance or bound of the total error.
Year
DOI
Venue
1977
10.1145/355719.355721
ACM Trans. Math. Softw.
Keywords
Field
DocType
floating-point arithmetic,roundoff error cr categories: 5.7,computer algebraic manipulation,algebraic manipulation language,re- duce,automatic error analysis,5.11,floating point arithmetic,computer algebra,floating point
Algebraic manipulation,Floating-point unit,Floating point,Computer science,Double-precision floating-point format,Arithmetic,Machine epsilon,Theoretical computer science,Binary scaling
Journal
Volume
Issue
Citations 
3
1
5
PageRank 
References 
Authors
0.98
5
1
Name
Order
Citations
PageRank
David R. Stoutemyer14919.14