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FLOPS
2008
Springer
13 years 6 months ago
Certified Exact Real Arithmetic Using Co-induction in Arbitrary Integer Base
In this paper we describe some certified algorithms for exact real arithmetic based on co-recursion. Our work is based on previous experiences using redundant digits of base 2 but ...
Nicolas Julien
CORR
2010
Springer
118views Education» more  CORR 2010»
13 years 4 months ago
alphaCertified: certifying solutions to polynomial systems
Smale's -theory uses estimates related to the convergence of Newton's method to give criteria implying that Newton iterations will converge quadratically to solutions to ...
Jonathan D. Hauenstein, Frank Sottile
DAGSTUHL
2008
13 years 6 months ago
A Modified Staggered Correction Arithmetic with Enhanced Accuracy and Very Wide Exponent Range
Abstract. A so called staggered precision arithmetic is a special kind of a multiple precision arithmetic based on the underlying floating point data format (typically IEEE double ...
Frithjof Blomquist, Werner Hofschuster, Walter Kr&...