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» Midpoints and Exact Points of Some Algebraic Functions in Fl...
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TC
2011
14 years 4 months ago
Midpoints and Exact Points of Some Algebraic Functions in Floating-Point Arithmetic
Claude-Pierre Jeannerod, Nicolas Louvet, Jean-Mich...
DAGSTUHL
2008
14 years 11 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&...
JSC
2006
147views more  JSC 2006»
14 years 9 months ago
An algorithm to solve integer linear systems exactly using numerical methods
In this paper, we present a new algorithm for the exact solutions of linear systems with integer coefficients using numerical methods. It terminates with the correct answer in wel...
Zhendong Wan
92
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COMPGEOM
2001
ACM
15 years 1 months ago
Computing a 3-dimensional cell in an arrangement of quadrics: exactly and actually!
We present two approaches to the problem of calculating a cell in a 3-dimensional arrangement of quadrics. The first approach solves the problem using rational arithmetic. It work...
Nicola Geismann, Michael Hemmer, Elmar Schöme...
SIAMCOMP
2010
174views more  SIAMCOMP 2010»
14 years 7 months ago
On the Complexity of Nash Equilibria and Other Fixed Points
We reexamine what it means to compute Nash equilibria and, more generally, what it means to compute a fixed point of a given Brouwer function, and we investigate the complexity o...
Kousha Etessami, Mihalis Yannakakis