63 search results - page 4 / 13 » Isolating real roots of real polynomials |
CDC
2010
IEEE
14 years 5 months ago
2010
IEEE
Abstract-- Given a family of real or complex monic polynomials of fixed degree with one fixed affine constraint on their coefficients, consider the problem of minimizing the root r...
CORR
2010
Springer
14 years 7 months ago
2010
Springer
In this paper we derive aggregate separation bounds, named after Davenport-MahlerMignotte (DMM), on the isolated roots of polynomial systems, specifically on the minimum distance ...
MOC
1998
14 years 9 months ago
1998
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 ...
AISC
2006
Springer
15 years 1 months ago
2006
Springer
Abstract. The Complete Root Classification for a univariate polynomial with symbolic coefficients is the collection of all the possible cases of its root classification, together w...
ISSAC
1998
Springer
15 years 2 months ago
1998
Springer
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...