A Modified Newton-type Method with Order of Convergence Seven for Solving Nonlinear Equations
Journal Title: JOURNAL OF ADVANCES IN MATHEMATICS - Year 2014, Vol 8, Issue 1
Abstract
In this paper, we mainly study the iterative method for nonlinear equations. We present and analyze a modified seventh-order convergent Newton-type method for solving nonlinear equations. The method is free from second derivatives. Some numerical results illustrate that the proposed method is more efficient and performs better than the classicalNewton's method.
Authors and Affiliations
Liang Fang, Lin Pang
DYNAMICAL CHAOS IN 6 ï† -RAYLEIGH OSCILLATOR WITH THREE WELLS DRIVEN AN AMPLITUDE MODULATED FORCE.
Chaotic behavior of6 ï† -Rayleigh oscillator with three wells is investigated. The method of multiple scale method is usedto solve the system up to 3rd order approximation. Effect of parameters is studied numerically; a...
Controlled 2-Frames in 2-Hilbert Spaces
Controlled frames in Hilbert spaces and 2-frames in 2-Hilbert spaces are studied, some results on them are presented. The controlled 2-frames in 2-Hilbert spaces is introduced. Some results on controlled 2-frames are est...
PG-Continuous frames in Banach space
In this paper, we introduce pg-continuous frames and study the operators associated with a give pg-continuous frames. We also show many useful properties with corresponding notions, pg-continuous frames and pg-frames in...
On folding of fuzzy dynamical chaotic manifold
In this paper, we introduce some types of fuzzy dynamical chaotic manifold .We will also introduce a new type of folding, which is applied to fuzzy dynamical chaotic manifold and we will study the relation between the ge...
Bayesian One- Way Repeated Measurements Model Based on Bayes Quadratic Unbiased Estimator
In this paper, bayesian approach based on Bayes quadratic unbiased estimator is employed to the linear one- way repeated measurements model which has only one within units factor and one between units factor incorporatin...