On multivariate Descartes' rule – a counterexample.
On Newton-like methods to enclose solutions of nonlinear equations
We present a class of Newton-like methods to enclose solutions of systems of nonlinear equations. Theorems are derived concerning the feasibility of the method, its global convergence, its speed and the quality of enclosure.
On Newton's Method.
On Ostrowski's fundamental existence theorem.
On Ostrowski's fundamental existence theorem in the complex case.
On -iterative methods for solving equations and systems.
On Samelson's Iteration for Factoring Polynomials.
On Some Classes of Variationally Derived Quasi-Newton Methods for Systems of Nonlinear Algebraic Equations.
On superadditive rates of convergence
On the classification of constant mean curvature tori in R3.
On the Computation of Multi-Dimensional Solution Manifolds of Parametrized Equations.
On the Condition of Algebraic Equations.
On the Construction of Sufficient Refinements for Computation of Topological Degree.
On the Convergence and Divergence of Bairstow's Method.
On the convergence of a Newton-like method in and the use of Berinde's exit criterion.
On the convergence of Halley-like method.
On the convergence of modified relaxation methods for extremum problems
On the Convergence of Multi-Grid Methods with Transforming Smoothers. Theory with Applications to the Navier-Stokes Equations.
On the Convergence Order of Accelerated Root Iterations.
On the distribution of zeros of solutions of some types of differential equation