Das Newton-VerfahrenChapter pp 135–146 Cite this chapter Numerische Mathematik Walter Zulehner Part of the book series: Mathematik Kompakt ((MAKO)) 2911 Accesses Zusammenfassung Wir betrachten allgemeine nichtlineare Gleichungssysteme in so genannter Nullpunktform F(x)=0 ((10.1)) mit ...
In this paper, we present an asynchronous parallel quasi-Newton method. We assume that we have p+q processors, which are divided into two groups, the two groups execute in an asynchronous parallel fashion. If we assume that the objective function is twice continuously differentiable and uniformly...
摘要: Several orthogonal-invariant fixpoint theorems for the convergence of the Gauss-Newton Method are given which reduce to well-known Newton-Attraction theorems in case of a system of nonlinear equations. Subsequently this result is extended to the Levenberg-Morrison-Marquardt Algorithm. 关键词: ...
H. Kleinmichel, “Quasi-Newton-Verfahren vom Rang-Eins-Typ zur Lösung unrestringierter Minimierungsaufgaben. Teil II: n-Schritt quadratische Konvergenz für Restart-Varianten, ” Num. Math., vol. 38, pp. 229–244, 1981.H. Kleinmichel: Quasi-Newton-Verfahren vom Rang-Eins-Typ zur Lo...
Ein speziell erweitertes System und ein Newton-ähnliches Verfahren für einfache singuläre nichtlineare Gleichungssysteme65H10Simple singular solutionsextended systemNewton-like methodA special extended system and a locally quadratically convergent Newton-like method are discussed for approximations of ...
In this paper we introduce a new Quasi-Newton method for solving nonlinear simultaneous equations. At each iteration only one column of B k is changed to obtain B k+1 . This permits to use the well-known techniques of Linear Programming for modifying the factorization of B k . We present...
An affine invariant version of the Kantorovich theorem for Newton's method is presented. The result includes the Gragg-Tapia error bounds, as well as recent optimal and sharper upper bounds, new optimal and sharper lower bounds, and new inequalities showing q -quadratic convergence all in terms ...
In a recently published paper by Baumeister, Hoffmann, Jochum [1] a simple one-phase stefan-problem was solved by an application of Newton's method to an appropriate operator equation. This paper is concerned with filling some gaps left open in the mathematical reasoning of their paper: we ...
In this paper we present a Quasi-Newton type method, which applies to large and sparse nonlinear systems of equations, and uses the Q-R factorization of the approximate Jacobians. This method belongs to a more general class of algorithms for which we prove a local convergence theorem. Some ...
Chen, X., Yamamoto, T.: On the convergence of some quasi-Newton methods for nonlinear equations with nondifferentiable operators. Computing 49 , 87–94 (1992).Chen, X., Yamamoto, T.: On the convergence of some quasi-Newton methods for nonlinear equations with nondifferentiable operators. ...