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» Computing roots of polynomials by quadratic clipping
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ESA
2004
Springer
139views Algorithms» more  ESA 2004»
14 years 28 days ago
Comparing Real Algebraic Numbers of Small Degree
We study polynomials of degree up to 4 over the rationals or a computable real subfield. Our motivation comes from the need to evaluate predicates in nonlinear computational geome...
Ioannis Z. Emiris, Elias P. Tsigaridas
TPHOL
2007
IEEE
14 years 1 months ago
Verifying Nonlinear Real Formulas Via Sums of Squares
Techniques based on sums of squares appear promising as a general approach to the universal theory of reals with addition and multiplication, i.e. verifying Boolean combinations of...
John Harrison
COMPGEOM
2006
ACM
13 years 9 months ago
On the ICP algorithm
We present upper and lower bounds for the number of iterations performed by the Iterative Closest Point (ICP) algorithm. This algorithm has been proposed by Besl and McKay [4] as ...
Esther Ezra, Micha Sharir, Alon Efrat