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May 23rd, 2010, 05:55 PM  #1 
Newbie Joined: May 2010 Posts: 3 Thanks: 0  Precision Arithmetic: A New FloatingPoint Arithmetic
ABSTRACT: A new floatingpoint arithmetic called precision arithmetic is developed to track precision for arithmetic calculations. It uses a novel rounding scheme to avoid excessive rounding error propagation of conventional floatingpoint arithmetic. Unlike interval arithmetic, its uncertainty tracking is based on statistics and its bounding range is much tighter. Generic standards and systematic methods for validating uncertaintybearing arithmetics are discussed. The precision arithmetic is found to be better than interval arithmetic in uncertaintytracking for linear algorithms. PDF: http://arxiv.org/ftp/cs/papers/0606/0606103.pdf This is an alternative and generic way to solve rounding error problem in linear system. Please comment. You can also contact me Chengpu@gmail.com directly. I will start a source forge project on it soon. 

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arithmetic, floatingpoint, precision 
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