A remark on certain overdetermined systems of partial differential equations
A remark on solving large systems of equations in function spaces
In order to save CPU-time in solving large systems of equations in function spaces we decompose the large system in subsystems and solve the subsystems by an appropriate method. We give a sufficient condition for the convergence of the corresponding procedure and apply the approach to differential algebraic systems.
A simple counterexample to Kouchnirenko's conjecture.
A Simplification of Stenger's Topological Degree Formula.
A Stepsize Control for Continuation Methods and its Special Application to Multiple Shooting Techniques.
A Variant of Jung΄s Theorem
Adaptive data distribution for concurrent continuation.
Aitken's and Steffensen's accelerations in several variables.
Ako riešiť algebraické rovnice pomocou rovnic diferenciálnych
Algebraic theory of right invertible operators
Algorithmes mixtes asynchrones. Etude de convergence monotone.
Algorithms for solution of equations and resulting in Lyapunov stability analysis of linear systems
An adaptive continuation process for solving systems of nonlinear equations
An Adaptive Newton Algorithm Based on Numerical Inversion: Regularization as Postconditioner.
An Algorithm For The Solution Of A 2 × 2 System Of Nonlinear Algebraic Equations
An application of the induction method of V. Pták to the study of regula falsi
In this paper we introduce the notion of "-dimensional rate of convergence" which generalizes the notion of rate of convergence introduced by V. Pták. Using this notion we give a generalization of the Induction Theorem of V. Pták, which may constitute a basis for the study of the iterative procedures of the form , . As an illustration we apply these results to the study of the convergence of the secant method, obtaining sharp estimates for the errors at each step of the iterative procedure.
An Efficient Degree-Computation Method for a Generalized Method of Bisection.
An efficient finite element method for nonlinear diffusion problems
An efficient start system for multi-homogeneous polynomial continuation.
An error estimation for the method of bisection in IR^n