Safe convergence of Chebyshev-like method.
Safe convergence of Tanabe's method.
Semi-smooth Newton methods for the Signorini problem
Semi-smooth Newton methods are analyzed for the Signorini problem. A proper regularization is introduced which guarantees that the semi-smooth Newton method is superlinearly convergent for each regularized problem. Utilizing a shift motivated by an augmented Lagrangian framework, to the regularization term, the solution to each regularized problem is feasible. Convergence of the regularized problems is shown and a report on numerical experiments is given.
Simplex Bisection and Sperner Simplices
Simultaneous Inclusion of the Zeros of a Polynomial.
Simultaneous triangularization of commuting matrices for the solution of polynomial equations
We present an extension of the QR method to simultaneously compute the joint eigenvalues of a finite family of commuting matrices. The problem is motivated by the task of finding solutions of a polynomial system. Several examples are included.
Solution explicite du problème de Cauchy pour un opérateur hyperbolique à caractéristiques non régulières
Solution of non-linear equations systems by Newton's method and the gradients method
Solution of the Undetermined Nonlinear Equations by Stationary Iteration Methods.
Solving Large Nonlinear Systems of Equations by an Adaptive Condensation Process.
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.