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Re: more patents on interval arithmetic implementations



Arnold Neumaier schrieb:

more patents, not yet mentioned in my previous two mails:


Several old patents, two by Kulisch, one by Miranker, and one by Rump,
are related to items 2 and 3 (accurate sum and inner product) in
Section 5.1 of the Vienna proposal:

- Circuitry for generating sums, especially scalar products
  http://www.patentstorm.us/patents/4866653/fulltext.html

- Circuitry for generating scalar products and sums of floating point
  numbers with maximum accuracy
  http://www.patentstorm.us/patents/4622650/fulltext.html

- Systolic super summation device
  http://www.patentstorm.us/patents/4751665/fulltext.html

- Method and circuit arrangement for adding floating point numbers
  http://www.patentstorm.us/patents/4866651/fulltext.html


There are, however, recent alternative (public and better)
implementation techniques by
   Ogita, Rump, and Oishhi
   Accurate sum and dot product
   http://www.ti3.tu-harburg.de/paper/rump/OgRuOi05.pdf


Arnold Neumaier