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» The Complexity of the Annihilating Polynomial
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JC
2008
77views more  JC 2008»
15 years 6 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»
15 years 6 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 9 months 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 11 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»
15 years 2 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