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May 23rd, 2010, 05:55 PM   #1
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Precision Arithmetic: A New Floating-Point Arithmetic

ABSTRACT: A new floating-point 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 floating-point 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 uncertainty-bearing arithmetics are discussed. The precision arithmetic is found to be better than interval arithmetic in uncertainty-tracking 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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