Solving Systems of Polynomial Equations by Bounded and Real Homotopy.
Solving the systems of equations arising in the discretization of some nonlinear p.d.e.'s by implicit Runge-Kutta methods
Solving Theodorsen's Integral Equation for Conformai Maps with the Fast Fourier Transform and Various Nonlinear Iterative Methods.
Some convergence acceleration processes for a class of vector sequences
Let be some vector sequence, converging to S, satisfying , where are constant vectors independent of n. The purpose of this paper is to provide acceleration methods for these vector sequences. Comparisons are made with some known algorithms. Numerical examples are also given.
Some Convergence Results for Asynchronous Algorithms.
Some Iterations for Factoring a Polynomial. II. A Generalization of the Secant Method.
Some new iterative methods for nonlinear equations.
Some notes on the quasi-Newton methods
A survey note whose aim is to establish the heuristics and natural relations in a class of Quasi-Newton methods in optimization problems. It is shown that a particular algorithm of the class is specified by characcterizing some parameters (scalars and matrices) in a general solution of a matrix equation.
Some remarks on Bairstow's method
Some Supplementary Results on the l +... 2 Order Method for the Solution of Nonlinear Equations.
Square-root families for the simultaneous approximation of polynomial multiple zeros.
Starlike Domains of Convergence for Newton's Method at Singularities.
Stationary and Almost Stationary Iterative (k, l)-Step Methods for Linear and Nonlinear Systems of Equations.
Stationary Schrödinger equations governing electronic states of quantum dots in the presence of spin-orbit splitting
In this work we derive a pair of nonlinear eigenvalue problems corresponding to the one-band effective Hamiltonian accounting for the spin-orbit interaction governing the electronic states of a quantum dot. We show that the pair of nonlinear problems allows for the minmax characterization of its eigenvalues under certain conditions which are satisfied for our example of a cylindrical quantum dot and the common InAs/GaAs heterojunction. Exploiting the minmax property we devise an efficient iterative...
Strong Uniqueness. A Far-Reaching Criterion for the Convergence Analysis of Iterative Procedures.
Study of linear information for classes of polynomial equations.
Subelliptic estimates
Sur la convergence de la méthode d'Adomian
Sur la méthode d'approximation de Newton
Sur la méthode de sur-relaxation, dans le cas des problèmes avec contrainte : un résultat de convergence asymptotique