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Arnold Neumaier wrote (in: Vienna proposal for interval standardization, final version):
Bob Davis wrote:Is it possible to perform calculation in interval arithmetic, although possibly slower, without requiring a patent license from the Marcel Gavriliu, Eldon Hansen, Nathan Hayes, and William Walster?Many of the relevant patents can be found by typing in turn each one of the above authors (the patents are not jointly by these) into the top left search line of http://www.patentstorm.us/ (begin with William Walster to get the most relevant list). Most of these patents seem to cover various specific things to be done with interval arithmetic, not the arithmetic per se; though from thelegal formulations employed it is not clear to me whether the pure arithmetic really remains untouched. The arithmetic itself is themain contents for the patents mentioned below (among those I amaware of);
====================================================================== Patents directly related to interval arithmetic and its generalizations:
I want to bring to your attention a few more patents on interval arithmetic implementations, not yet mentioned in my previous mail:
Patents by Guy Steele http://www.patentstorm.us/inventors-patents/Guy_L__Steele__Jr_/1195238.html - Methods and systems for computing the quotient of floating-point intervals - Methods and systems for computing floating-point intervals - Floating point system with improved support of interval arithmetic Patent by Sang Hoo Dhong http://www.patentstorm.us/patents/7447725/fulltext.html - Apparatus for controlling rounding modes in single instruction multiple data (SIMD) floating-point units Arnold Neumaier