Abstract
This chapter deals with the construction of an algorithm to obtain inner and outer approximations of the f ∗ extension of a continuous function f, in the case of non-monotony of f in the studied domain. One convenient approach, but not the only one, is to simultaneously work with both inner and outer approximations. This kind of interval representation, referred to as twins, have already been studied in the field of classical intervals [55, 64]. First of all, twins with modal intervals will be presented.
Keywords
- Outer Approximation
- Modal Intervals
- Classical Intervals
- Proper Twin
- Improper Component
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
This is a preview of subscription content, access via your institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptions









References
V.M. Kreinovich, V. Nesterov, N.A. Zheludeva, Interval methods that are guaranteed to underestimate (and the resulting new justification of kaucher arithmetic). Reliable Comput. 2(2), 119–124 (1996)
V. Nesterov, Interval and twin arithmetics. Reliable Comput. 3(4), 369–380 (1997)
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 2014 Springer International Publishing Switzerland
About this chapter
Cite this chapter
Sainz, M.A., Armengol, J., Calm, R., Herrero, P., Jorba, L., Vehi, J. (2014). Twins and f ∗Algorithm. In: Modal Interval Analysis. Lecture Notes in Mathematics, vol 2091. Springer, Cham. https://doi.org/10.1007/978-3-319-01721-1_7
Download citation
DOI: https://doi.org/10.1007/978-3-319-01721-1_7
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-01720-4
Online ISBN: 978-3-319-01721-1
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)
