Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8898510 | Journal of Complexity | 2018 | 11 Pages |
Abstract
It is known that, for systems of initial-value problems, algorithms using adaptive information perform much better in the worst case setting than the algorithms using nonadaptive information. In the latter case, lower and upper complexity bounds significantly depend on the number of equations. However, in contrast with adaptive information, existing lower and upper complexity bounds for nonadaptive information are not asymptotically tight. In this paper, we close the gap in the complexity exponents, showing asymptotically matching bounds for nonadaptive standard information, as well as for a more general class of nonadaptive linear information.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
BolesÅaw Kacewicz,