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» On the Complexity of the Interlace Polynomial
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ISSAC
2007
Springer
94views Mathematics» more  ISSAC 2007»
15 years 4 months ago
Faster algorithms for the characteristic polynomial
A new randomized algorithm is presented for computing the characteristic polynomial of an n × n matrix over a field. Over a sufficiently large field the asymptotic expected com...
Clément Pernet, Arne Storjohann
COCOON
2005
Springer
15 years 3 months ago
On the Complexity of the Balanced Vertex Ordering Problem
We consider the problem of finding a balanced ordering of the vertices of a graph. More precisely, we want to minimise the sum, taken over all vertices v, of the difference betwe...
Jan Kára, Jan Kratochvíl, David R. W...
SAC
2006
ACM
15 years 4 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...
CORR
2010
Springer
179views Education» more  CORR 2010»
14 years 7 months ago
The DMM bound: multivariate (aggregate) separation bounds
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 ...
Ioannis Z. Emiris, Bernard Mourrain, Elias P. Tsig...