Fast intersection methods for the solution of some nonlinear systems of equations.
Finding roots of nonlinear systems of equations on a domain.
Finite element approximation of a model reaction - diffusion problem with a non-Lipschitz nonlinearity.
Finite Element Solution of Nonlinear Elliptic Problems.
FLQ, the Fastest Quadratic Complexity Bound on the Values of Positive Roots of Polynomials
In this paper we present F LQ, a quadratic complexity bound on the values of the positive roots of polynomials. This bound is an extension of FirstLambda, the corresponding linear complexity bound and, consequently, it is derived from Theorem 3 below. We have implemented FLQ in the Vincent-Akritas-Strzeboński Continued Fractions method (VAS-CF) for the isolation of real roots of polynomials and compared its behavior with that of the theoretically proven best bound, LM Q. Experimental results indicate...
Fractal Newton basins.
Fractional double Newton step properties for polynomials with all real zeros
Free systems of vector fields (d'après L. Hörmander et A. Melin)
Frequency functions on the Heisenberg group, the uncertainty principle and unique continuation
A recent result of Bahouri shows that continuation from an open set fails in general for solutions of where and is a (nonelliptic) operator in satisfying Hörmander’s condition for hypoellipticity. In this paper we study the model case when is the subelliptic Laplacian on the Heisenberg group and is a zero order term which is allowed to be unbounded. We provide a sufficient condition, involving a first order differential inequality, for nontrivial solutions of to have a finite order...
Fundamental solutions and geometry of the sum of squares of vector fields.
Funktionalungleichungen und Iterationsverfahren.
General method for solving transcendental and algebraic equations by means of residuals
Generalization and Acceleration of an Algorithm of Sebastiao e Silva and its Duals.
Generalization of Ehrlich-Kjurkchiev Method for Multiple Roots of Algebraic Equations
In this paper a new method which is a generalization of the Ehrlich-Kjurkchiev method is developed. The method allows to find simultaneously all roots of the algebraic equation in the case when the roots are supposed to be multiple with known multiplicities. The offered generalization does not demand calculation of derivatives of order higher than first simultaneously keeping quaternary rate of convergence which makes this method suitable for application from practical point of view.
Generalization of the secant method for nonlinear equations.
Géométrie des polynômes. Coût global moyen de la méthode de Newton
Géométrie sous-riemannienne
Geometry and convergence of some third-order methods.
Global Approximate Newton Methods.
Global convergence property of modified Levenberg-Marquardt methods for nonsmooth equations
In this paper, we discuss the globalization of some kind of modified Levenberg-Marquardt methods for nonsmooth equations and their applications to nonlinear complementarity problems. In these modified Levenberg-Marquardt methods, only an approximate solution of a linear system at each iteration is required. Under some mild assumptions, the global convergence is shown. Finally, numerical results show that the present methods are promising.