Affine arithmetic
Improvement on interval arithmetic From Wikipedia, the free encyclopedia
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Affine arithmetic (AA) is a computer arithmetic which was made to improve the performance of interval arithmetic.
Background
Today, the interval arithmetic technology which was made by Sunaga[1] and R. Moore[2][3][4] is used in many areas including validated numerics.[5] Unfortunately, interval arithmetic is useless when numerical computation is repeated many times.[4] Therefore, many experts have studied how to overcome this weakness. Affine arithmetic is one result of this movement.
Applications
Affine arithmetic is available in some interval arithmetic libraries like INTLAB.[6][7] It is also used in the following fields:
Improvements
Some experts are trying to improve affine arithmetic. Their results are known as the extended affine arithmetic[28][29][30] or modified affine arithmetic.[31][32]
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Libraries
This a list of libraries that supports affine arithmetic:
References
Further Reading
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