Fwd: Re: Up-to date Interval Arithmetic

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Dear colleagues,

A theoretical foundation of interval arithmetic with infinitely small (large)

but nonzero (finite) endpoints is given in

S.M. Rump. Interval Arithmetic Over Finitely Many Endpoints. BIT Numerical Mathematics, 52(4):1059–1075, 2012.

The paper is appended. It covers in particular closed, half-open or open intervals,

as well as to treat special numbers such as pi as exact data.

Best wishes,

Siegfried

Am 25.03.2015, 05:19 Uhr, schrieb Ulrich Kulisch <ulrich.kulisch@xxxxxxx>:

Dear colleagues:

I attach an unpublished paper entitled:

Up-to-date Interval Arithmetic - From closed intervals to connected sets of real numbers

which on request recently was sent to the Reliable Computing Group. You may find it interesting.

Best regards
Ulrich
-- 
Karlsruher Institut für Technologie (KIT)
Institut für Angewandte und Numerische Mathematik
D-76128 Karlsruhe, Germany
Prof. Ulrich Kulisch
KIT Distinguished Senior Fellow

Telefon: +49 721 608-42680
Fax: +49 721 608-46679
E-Mail: ulrich.kulisch@xxxxxxx
www.kit.edu
www.math.kit.edu/ianm2/~kulisch/

KIT - Universität des Landes Baden-Württemberg 
und nationales Großforschungszentrum in der 
Helmholtz-Gesellschaft

=====================================================
Prof. Dr. Siegfried M. Rump
Institute for Reliable Computing
Hamburg University of Technology
Schwarzenbergstr. 95
21071 Hamburg
Germany
phone +49 40 42878 3027
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and

Visiting Professor at Waseda University
Faculty of Science and Engineering
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Tokyo 169-8555
Japan
phone/fax in Japan +81 3 5286 3330