dc.contributor.author |
Hertling, P |
en |
dc.date.accessioned |
2009-04-16T23:15:56Z |
en |
dc.date.available |
2009-04-16T23:15:56Z |
en |
dc.date.issued |
1998-01 |
en |
dc.identifier.citation |
CDMTCS Research Reports CDMTCS-077 (1998) |
en |
dc.identifier.issn |
1178-3540 |
en |
dc.identifier.uri |
http://hdl.handle.net/2292/3586 |
en |
dc.description.abstract |
Including the range of a rational function over an interval is an im-
portant problem in numerical computation. A direct interval arithmetic
evaluation of a formula for the function yields in general a superset with
an error linear in the width of the interval. Special formulas like the cen-
tered forms yield a better approximation with a quadratic error. Alefeld
posed the question whether in general there exists a formula whose inter-
val arithmetic evaluation gives an approximation of better than quadratic
order. In this paper we show that the answer to this question is negative
if in the interval arithmetic evaluation of a formula only the basic four
interval operations +,-,•,/= are used. |
en |
dc.publisher |
Department of Computer Science, The University of Auckland, New Zealand |
en |
dc.relation.ispartofseries |
CDMTCS Research Report Series |
en |
dc.rights.uri |
https://researchspace.auckland.ac.nz/docs/uoa-docs/rights.htm |
en |
dc.source.uri |
http://www.cs.auckland.ac.nz/staff-cgi-bin/mjd/secondcgi.pl?serial |
en |
dc.title |
A Lower Bound for Range Enclosure in Interval Arithmetic |
en |
dc.type |
Technical Report |
en |
dc.subject.marsden |
Fields of Research::280000 Information, Computing and Communication Sciences |
en |
dc.rights.holder |
The author(s) |
en |
dc.rights.accessrights |
http://purl.org/eprint/accessRights/OpenAccess |
en |