On a class of higher order methods for simultaneous rootfinding of generalized polynomials.
On convergence of Börsch-Supan's method with Weierstrass' corrections.
On searching for roots of a polynomial in a circular annulus
On the construction of explicit solutions to the matrix equation .
On the convergence of Halley-like method.
On the fourth order root finding methods of Euler's type.
On the guaranteed convergence of the Japanese zero-finding method.
On the height of the Sylvester resultant.
On the number of terms of a composite polynomial
On the shifted QR iteration applied to companion matrices.
On the Various Bisection Methods Derived from Vincent’s Theorem
In 2000 A. Alesina and M. Galuzzi presented Vincent’s theorem “from a modern point of view” along with two new bisection methods derived from it, B and C. Their profound understanding of Vincent’s theorem is responsible for simplicity — the characteristic property of these two methods. In this paper we compare the performance of these two new bisection methods — i.e. the time they take, as well as the number of intervals they examine in order to isolate the real roots of polynomials — against that...