Iterative Methods and Dynamics for Nonlinear Problems

Iterative Methods for Equilibrium Problems, Variational Inequalities and Fixed Points

global results on some nonlinear partial differential equations for direct and inverse problems

در این رساله به بررسی رفتار جواب های رده ای از معادلات دیفرانسیل با مشتقات جزیی در دامنه های کراندار می پردازیم . این معادلات به فرم نیم-خطی و غیر خطی برای مسایل مستقیم و معکوس مورد مطالعه قرار می گیرند . به ویژه، تاثیر شرایط مختلف فیزیکی را در مساله، نظیر وجود موانع و منابع، پراکندگی و چسبندگی در معادلات موج و گرما بررسی می کنیم و به دنبال شرایطی می گردیم که متضمن وجود سراسری یا عدم وجود سراسر...

Iterative Fixed-Point Methods for Solving Nonlinear Problems: Dynamics and Applications

and Applied Analysis Volume 2014, Article ID 313061, 2 pages http://dx.doi.org/10.1155/2014/313061 2 Abstract and Applied Analysis α and c whose associated iterative schemes show stable and unstable behavior. W. Zhou and J. Kou present a third-order variant of Potra-Pták’s iterative method for solving nonlinear systems in Banach spaces, by using a new vector extrapolation technique, whose local...

Convergence orders of iterative methods for nonlinear eigenvalue problems

The convergence analysis of iterative methods for nonlinear eigenvalue problems is in the most cases restricted either to algebraic simple eigenvalues or to polynomial eigenvalue problems. In this paper we consider two classical methods for general holomorphic eigenvalue problems, namely the nonlinear generalized Rayleigh quotient iteration (NGRQI) and the augmented Newton method. For both meth...

Newton Two-stage Parallel Iterative Methods for Nonlinear Problems

Two-stage parallel Newton iterative methods to solve nonlinear systems of the form F (x) = 0 are introduced. These algorithms are based on the multisplitting technique and on the two-stage iterative methods. Convergence properties of these methods are studied when the Jacobian matrix F ′(x) is either monotone or an H-matrix. Furthermore, in order to illustrate the performance of the algorithms ...