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CRYPTO
2007
Springer
144views Cryptology» more  CRYPTO 2007»
13 years 10 months ago
Finding Small Roots of Bivariate Integer Polynomial Equations: A Direct Approach
Coppersmith described at Eurocrypt 96 an algorithm for finding small roots of bivariate integer polynomial equations, based on lattice reduction. A simpler algorithm was later pro...
Jean-Sébastien Coron
CORR
2006
Springer
87views Education» more  CORR 2006»
13 years 4 months ago
Low Complexity Algorithms for Linear Recurrences
We consider two kinds of problems: the computation of polynomial and rational solutions of linear recurrences with coefficients that are polynomials with integer coefficients; ind...
Alin Bostan, Frédéric Chyzak, Bruno ...
WSC
2007
13 years 7 months ago
Finite-sample performance guarantees for one-dimensional stochastic root finding
We study the one-dimensional root finding problem for increasing convex functions. We give gradient-free algorithms for both exact and inexact (stochastic) function evaluations. ...
Samuel Ehrlichman, Shane G. Henderson
ISSAC
1998
Springer
101views Mathematics» more  ISSAC 1998»
13 years 9 months ago
Efficient Algorithms for Computing the Nearest Polynomial with Constrained Roots
Continuous changes of the coefficients of a polynomial move the roots continuously. We consider the problem finding the minimal perturbations to the coefficients to move a root to...
Markus A. Hitz, Erich Kaltofen
ICDIM
2007
IEEE
13 years 11 months ago
Exploration of multiple roots for a polynomial system
Several problems from engineering, chemistry, medicine, etc. can be formulated as a system of equations. Finding a solution for such a system sometimes requires high computational...
Crina Grosan, Ajith Abraham