On the fourth order root finding methods of Euler's type.
On the Global Convergence of Halley's Iteration Formula.
On the guaranteed convergence of the Japanese zero-finding method.
On the improved family of simultaneous methods for the inclusion of multiple polynomial zeros.
On the iterative process
On the possibility of calculation of zero points of solutions of differential equations of the second order
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...
One new kind of irregular spectra
Optimal fourth order family of iterative methods
Optimal Iterative Processes for Root-Finding.
Optimal problems concerning interpolation methods of solution of equations.
Optimum choice of initial approximations in interpolation methods of solving equations
Parallel Laguerre Iterations: The Complex Case.
Point estimation and the convergence of the Ehrlich-Aberth method.
Polynomial operations: Numerical performance in matrix diophantine equation
Postscript to "Generalisations of an Algorithm of Sebastiao e Silva".
Problems and solutions by the application of Julia set theory to one-dot and multi-dots numerical methods.
Real and complex pseudozero sets for polynomials with applications
Pseudozeros are useful to describe how perturbations of polynomial coefficients affect its zeros. We compare two types of pseudozero sets: the complex and the real pseudozero sets. These sets differ with respect to the type of perturbations. The first set – complex perturbations of a complex polynomial – has been intensively studied while the second one – real perturbations of a real polynomial – seems to have received little attention. We present a computable formula for the real pseudozero...
Remark on an iterative formula