[PDF] Top 20 Inverse Iterative Methods for Solving Nonlinear Equations

... of solving nonlinear equations is one of the classical problems which arise in several branches of pure and applied ...for solving nonlinear equations always has been an ... See full document

... a nonlinear equation (1) is a one step iterative methods [1, 16], a two step iterative methods [4, 5, 7, 8, 12] and a three step iterative methods [2, 3, ...step ... See full document

... In recent much attention has been given to establish new higher order iteration schemes for solving nonlinear equations. Many iteration schemes have been established by using Taylor series, Adomain ... See full document

... Drazin inverse and its applications to singular differential equations and difference equations, to Morkov chains and iterative methods, to cryptography, to numerical analysis, to ... See full document

... a nonlinear algorithm named Altered Jacobian Newton Iterative Method for solving system nonlinear equations formed from discretization of non- linear elliptic ...Newton Iterative ... See full document

... method due to Mamta et al. [10] and cubically conver- gent method due to Hasnov et al. [11]. This method will not fail like existing methods if f x    is very small or even zero in the vicinity of the root. ... See full document

... the iterative method in equation (3) is higher than that of the Newton method, its efficiency index is lower because of the involvement of six function evaluation per ...the iterative method in equation ... See full document

... which indicates that the order of convergence of the family in (2) is eighth for any value of θ. This completes the proof. As we see from theorem 1 that the choice of the weight function is so important to make the order ... See full document

... three-step iterative method for solv- ing nonlinear equations (SM) has been ...three-step iterative method proposed by Noor and Noor [8] is ...other iterative methods of the same ... See full document

... non-linear equations of the general form f (x) = 0. Such equations appear in real world situations frequently while there is no closed form solution for ...of equations draw much attention to itself ... See full document

... for solving large systems of linear equations is analyzed by Wozniakowski in ...in solving systems of equations by iterative methods, an example being the paper ... See full document

... Simpson-type methods, namely the Simpson-type fifth-order method and the Simpson-type fourth-order ...Simpson-type methods was to establish an alternative iterative method than the classical Simpson ... See full document

... In this section, we present some numerical examples to show the effectiveness of the new inversion-free variant of the basic fixed point iteration methods. Hermitian positive defi- nite solutions of matrix equation ... See full document

... In this paper, a new three –step iterative method without second derivative was suggested for finding roots of nonlinear equations. Analysis of the convergence is performed to show that the ... See full document

... Amit kumar Maheshwari, “A fourth order iterative method for solving nonlinear equations”, Applied. Mathematics and computation, Vol.211, 2009, pp[r] ... See full document

... for nonlinear equa- tion and ...convergence iterative method based on Adomian decomposition method to the systems of nonlinear ...Newton-type methods to approximate the root of a system of ... See full document

... seventh-order iterative methods for the solution of nonlinear equations are ...new iterative methods are developed by using weight function method and using an approx- imation ... See full document

... This paper is organized as follows: in section 2, we describe the new third-order iterative method by using the concept of inverse function theorem. In the next section we optimize the method of Chun et. al ... See full document

... for solving nonlinear ...new methods require less iteration and function evaluation than that of ...new methods require less number of operations than Newton’s ... See full document

... The matrix A is singular and ill-posed, thus the estimate of X 0 by (5.1) will be unstable so that the Tikhonov regularization method must be used to control this singularity. In our computation, we adapt the Tikhonov ... See full document