We present algorithmic, complexity and implementation results concerning real root isolation of integer univariate polynomials using the continued fraction expansion of real algeb...
We show how to compute Hong’s bound for the absolute positiveness of a polynomial in d variables with maximum degree δ in O(n logd n) time, where n is the number of non-zero co...
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...
The degree of a polynomial representing (or approximating) a function f is a lower bound for the quantum query complexity of f. This observation has been a source of many lower bo...
Given an undirected hypergraph and a subset of vertices S ⊆ V with a specified root vertex r ∈ S, the STEINER ROOTED-ORIENTATION problem is to find an orientation of all the...