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Re: Motion P1788/M0009.01_ExactDotProduct



On Tue, 17 Nov 2009 13:30:18 +0100, Arnold Neumaier <arnold.neumaier@xxxxxxxxxxxx> wrote:

The top-ranked solution of the SIAM 100 digit challence solved half the
problems using multiprecision interval arithmetic, again without an exact
dot product.

In the top-ranked solution published in

F. Bornemann, D. Laurie, S. Wagon, and J. Waldvogel:
The SIAM 100-Digit Challenge---A Study in High-Accuracy Numerical Computing,
  SIAM, Philadelphia, 2004.

half of the problems were solved in INTLAB, thus using interval arithmetic
and verification methods in DOUBLE PRECISION !

Best wishes,

Siegfried M. Rump


--
=====================================================
Prof. Dr. Siegfried M. Rump
Institute for Reliable Computing
Hamburg University of Technology
Schwarzenbergstr. 95
21071 Hamburg
Germany
phone  +49 40 42878 3027
fax    +49 40 42878 2489
http://www.ti3.tu-harburg.de

and

Visiting Professor at Waseda University
Faculty of Science and Engineering
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Tokyo 169-0072
Japan
phone/fax in Japan  +81 3 5286 3414