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» The Complexity of the Annihilating Polynomial
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SAC
2006
ACM
15 years 3 months ago
Pseudozero set of interval polynomials
Interval polynomials are useful to describe perturbed polynomials. We present a graphical tool to describe how perturbations of the polynomial coefficients affect its zeros witho...
Stef Graillat, Philippe Langlois
MOC
1998
92views more  MOC 1998»
14 years 9 months ago
Perturbing polynomials with all their roots on the unit circle
Given a monic real polynomial with all its roots on the unit circle, we ask to what extent one can perturb its middle coefficient and still have a polynomial with all its roots on ...
Michael J. Mossinghoff, Christopher G. Pinner, Jef...
FOCM
2010
111views more  FOCM 2010»
14 years 7 months ago
A Note on the Finite Variance of the Averaging Function for Polynomial System Solving
In [BP08], the average complexity of linear homotopy methods to solve polynomial equations with random initial input (in a sense to be described below) was proven to be finite, an...
Carlos Beltrán, Michael Shub
CIE
2009
Springer
15 years 4 months ago
On Generating Independent Random Strings
It is shown that from two strings that are partially random and independent (in the sense of Kolmogorov complexity) it is possible to effectively construct polynomially many strin...
Marius Zimand
IJAC
2006
87views more  IJAC 2006»
14 years 10 months ago
Evaluation Properties of Symmetric Polynomials
By the fundamental theorem of symmetric polynomials, if P Q[X1, . . . , Xn] is symmetric, then it can be written P = Q(1, . . . , n), where 1, . . . , n are the elementary symmet...
Pierrick Gaudry, Éric Schost, Nicolas M. Th...