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» The Complexity of the Annihilating Polynomial
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JC
2008
77views more  JC 2008»
14 years 10 months ago
A numerical algorithm for zero counting, I: Complexity and accuracy
We describe an algorithm to count the number of distinct real zeros of a polynomial (square) system f. The algorithm performs O(log(nD(f))) iterations (grid refinements) where n is...
Felipe Cucker, Teresa Krick, Gregorio Malajovich, ...
DM
2006
78views more  DM 2006»
14 years 10 months ago
On polynomial digraphs
Let (x, y) be a bivariate polynomial with complex coefficients. The zeroes of (x, y) are given a combinatorial structure by considering them as arcs of a directed graph G(). This p...
Josep M. Brunat, Antonio Montes
ISSAC
2011
Springer
243views Mathematics» more  ISSAC 2011»
14 years 24 days ago
Practical polynomial factoring in polynomial time
There are several algorithms for factoring in Z[x] which have a proven polynomial complexity bound such as Sch¨onhage of 1984, Belabas/Kl¨uners/van Hoeij/Steel of 2004, and vanH...
William Hart, Mark van Hoeij, Andrew Novocin
ICCSA
2003
Springer
15 years 3 months ago
Optimization in the Context of Active Control of Sound
A problem of eliminating the unwanted time-harmonic noise on a predetermined region of interest is solved by active means, i.e., by introducing the additional sources of sound, cal...
Josip Loncaric, Semyon Tsynkov
CMA
2010
183views more  CMA 2010»
14 years 6 months ago
Ramanujan's class invariants and their use in elliptic curve cryptography
Complex Multiplication (CM) method is a frequently used method for the generation of elliptic curves (ECs) over a prime field Fp. The most demanding and complex step of this metho...
Elisavet Konstantinou, Aristides Kontogeorgis