Conditions de positivité dans une variété symplectique complexe. Applications à l'étude de l'hypoellipticité analytique
Conditions suffisantes de sous-ellipticité pour (d’après J. J. Kohn)
Congruence of analytic functions modulo a polynomial
Consistent Approximations in Newton-Type Decomposition Methods.
Construction de paramétrixes pour des opérateurs pseudodifférentiels caractéristiques sur la réunion de deux cônes lissés
Continuation of invariant subspaces via the Recursive Projection Method
The Recursive Projection Method is a technique for continuation of both the steady states and the dominant invariant subspaces. In this paper a modified version of the RPM called projected RPM is proposed. The modification underlines the stabilization effect. In order to improve the poor update of the unstable invariant subspace we have applied subspace iterations preconditioned by Cayley transform. A statement concerning the local convergence of the resulting method is proved. Results of numerical...
Convergence analysis of a perturbed iterative scheme (PIS) for solution of nonlinear systems.
Convergence Analysis of the General Gauss-Newton Algorithm.
Convergence conditions for Secant-type methods
We provide new sufficient convergence conditions for the convergence of the secant-type methods to a locally unique solution of a nonlinear equation in a Banach space. Our new idea uses recurrent functions, and Lipschitz-type and center-Lipschitz-type instead of just Lipschitz-type conditions on the divided difference of the operator involved. It turns out that this way our error bounds are more precise than earlier ones and under our convergence hypotheses we can cover cases where earlier conditions...
Convergence of Newton-Like Methods for Solving Systems of Nonlinear Equations.
Convergence of Newton-Like-Iterative Methods.
Convergence of sequential and asynchronous nonlinear paracontractions.
Convergence of Stirling's Method in Banach Spaces.
Convergence of the Multigrid Full Approximation Scheme for a Class of Elliptic Mildly Nonlinear Boundary Value Problems.
Convergence of the Multilevel Full Approximation Scheme including the V-Cycle.
Convergent algorithms suitable for the solution of the semiconductor device equations
In this paper, two algorithms are proposed to solve systems of algebraic equations generated by a discretization procedure of the weak formulation of boundary value problems for systems of nonlinear elliptic equations. The first algorithm, Newton-CG-MG, is suitable for systems with gradient mappings, while the second, Newton-CE-MG, can be applied to more general systems. Convergence theorems are proved and application to the semiconductor device modelling is described.
Curvature computations on surfaces in -space