AERN-RnToRm



polynomial function enclosures (PFEs) approximating exact real functions

Category: Data, Math

Hackage Homepage

About AERN-RnToRm

AERN-RnToRm provides datatypes and abstractions for approximating functions of type @D -> R^m@ where @D@ is a bounded interval in @R^n@ with non-empty interior. The main datatype are function enclosures whose boundaries are piece-wise polynomial with a bounded degree. (This degree can be set arbitrarily high or as low as 0.) This datatype is supported by safely rounding operations whose precision can be increased arbitrarily, so that they all converge to the exact operations. Field operations, integration, maximisation and some elementary operations (namely exp, sin, cos) are among those already implemented. For an architectural overview, see module "Data.Number.ER.RnToRm". A mathematical description of the very basics as well as a brief comparison with Taylor Models is included in the paper <http://www-users.aston.ac.uk/~konecnym/papers/cfv08.html>. Simple examples of usage can be found in folder @examples@ and a test suite can be run via the module in the folder @tests@.

Author

Michal Konecny (Aston University)

Maintainer

mikkonecny@gmail.com

License

BSD3

Copyright

(c) 2007-2009 Michal Konecny, Jan Duracz

Stability

experimental

Dependencies

AERN-Real, base, containers, binary, html, QuickCheck, time, filepath, directory

Modules

Latest Version

0.5.0.1

Older Versions

0.3.0, 0.3.0.1, 0.3.0.2, 0.3.0.3, 0.4, 0.4.1, 0.4.2, 0.4.9, 0.4.9.1, 0.5, 0.5.0.1