Continuous Analogy of Newton’s Method; Solving the System of Linear Algebraic Equations; Convergence; Choice of Iteration Parameter - Articles

The Continuous Analogy of Newton’s Method for Solving a System of Linear Algebraic Equations (Articles)

Tugal Zhanlav, Ochbadrakh Chuluunbaatar, Gantumur Ankhbayar

Applied Mathematics Vol.4 No.1A，January 30, 2013

DOI: 10.4236/am.2013.41A032 3,177 Downloads 5,769 Views Citations
This article belongs to the Special Issue on Numerical Analysis
New Fourth Order Iterative Methods Second Derivative Free (Articles)

Osama Y. Ababneh

Journal of Applied Mathematics and Physics Vol.4 No.3，March 23, 2016

DOI: 10.4236/jamp.2016.43058 2,594 Downloads 3,792 Views Citations
An Efficient Algorithm for the Numerical Computation of the Complex Eigenpair of a Matrix (Articles)

R. O. Akinola, K. Musa, I. A. Nyam, S. Y. Kutchin, K. V. Joshua

Journal of Applied Mathematics and Physics Vol.5 No.3，March 24, 2017

DOI: 10.4236/jamp.2017.53057 1,308 Downloads 2,142 Views Citations
Solving Large Scale Nonlinear Equations by a New ODE Numerical Integration Method (Articles)

Tianmin Han, Yuhuan Han

Applied Mathematics Vol.1 No.3，September 29, 2010

DOI: 10.4236/am.2010.13027 8,882 Downloads 17,626 Views Citations
Stability Control of Stretch-Twist-Fold Flow by Using Numerical Methods (Articles)

Shahab Ud-Din Khan, Yonglu Shu, Salah Ud-Din Khan

World Journal of Mechanics Vol.2 No.6，December 31, 2012

DOI: 10.4236/wjm.2012.26039 3,659 Downloads 5,671 Views Citations
Hybrid Steffensen’s Method for Solving Nonlinear Equation (Articles)

Hamideh Eskandari

Applied Mathematics Vol.13 No.9，September 2, 2022

DOI: 10.4236/am.2022.139046 155 Downloads 804 Views Citations
Modified Efficient Families of Two and Three-Step Predictor-Corrector Iterative Methods for Solving Nonlinear Equations (Articles)

Sanjeev Kumar, Vinay Kanwar, Sukhjit Singh

Applied Mathematics Vol.1 No.3，September 29, 2010

DOI: 10.4236/am.2010.13020 6,176 Downloads 12,056 Views Citations
A New Modification of Newton Method with Cubic Convergence (Articles)

Aurelien Goudjo, Louis Kouye

Advances in Pure Mathematics Vol.11 No.1，January 13, 2021

DOI: 10.4236/apm.2021.111001 455 Downloads 2,018 Views Citations
This article belongs to the Special Issue on Number Theory
Analytical Approach to Differential Equations with Piecewise Continuous Arguments via Modified Piecewise Variational Iteration Method (Articles)

Qi Wang

Journal of Applied Mathematics and Physics Vol.2 No.1，January 9, 2014

DOI: 10.4236/jamp.2014.21005 4,286 Downloads 6,275 Views Citations
A New Family of Nonlinear Fifth-Order Solvers for Finding Simple Roots (Articles)

Behzad Ghanbari

Applied Mathematics Vol.3 No.6，June 26, 2012

DOI: 10.4236/am.2012.36088 4,053 Downloads 6,918 Views Citations
Solution of Delay Differential Equations Using a Modified Power Series Method (Articles)

Oladotun Matthew Ogunlaran, Adeyemi Sunday Olagunju

Applied Mathematics Vol.6 No.4，April 17, 2015

DOI: 10.4236/am.2015.64061 4,055 Downloads 6,281 Views Citations
The Convergences Comparison between the Halley’s Method and Its Extended One Based on Formulas Derivation and Numerical Calculations (Articles)

Shunji Horiguchi

Applied Mathematics Vol.7 No.18，December 27, 2016

DOI: 10.4236/am.2016.718188 2,809 Downloads 4,663 Views Citations
Exact Solution of a Linear Difference Equation in a Finite Number of Steps (Articles)

Albert Iskhakov, Sergey Skovpen

Applied Mathematics Vol.9 No.3，March 29, 2018

DOI: 10.4236/am.2018.93022 2,376 Downloads 3,354 Views Citations
Steffensen-Type Method of Super Third-Order Convergence for Solving Nonlinear Equations (Articles)

Zhongli Liu, Hong Zhang

Journal of Applied Mathematics and Physics Vol.2 No.7，June 13, 2014

DOI: 10.4236/jamp.2014.27064 4,987 Downloads 6,752 Views Citations
Perturbation Analysis of Continuous-Time Linear Time-Invariant Systems (Articles)

Peter Chang-Yi Weng, Frederick Kin Hing Phoa

Advances in Pure Mathematics Vol.10 No.4，April 9, 2020

DOI: 10.4236/apm.2020.104010 439 Downloads 1,013 Views Citations
New Variants of Newton’s Method for Nonlinear Unconstrained Optimization Problems (Articles)

V. KANWAR, Kapil K. SHARMA, Ramandeep BEHL

Intelligent Information Management Vol.2 No.1，January 27, 2010

DOI: 10.4236/iim.2010.21005 5,453 Downloads 10,279 Views Citations
Application of HAM for Nonlinear Integro-Differential Equations of Order Two (Articles)

Zainidin Eshkuvatov, Davron Khayrullaev, Muzaffar Nurillaev, Shalela Mohd Mahali, Anvar Narzullaev

Journal of Applied Mathematics and Physics Vol.11 No.1，January 17, 2023

DOI: 10.4236/jamp.2023.111005 59 Downloads 299 Views Citations
On the Deepest Fallacy in the History of Mathematics: The Denial of the Postulate about the Approximation Nature of a Simple-Iteration Method and Iterative Derivation of Cramer’s Formulas (Articles)

Albert Iskhakov, Sergey Skovpen

Applied Mathematics Vol.10 No.6，June 17, 2019

DOI: 10.4236/am.2019.106027 1,772 Downloads 2,403 Views Citations
Variational Iteration Method for Solving Boussinesq Equations Using Maple (Articles)

Ameera Aljuhani, Dalal Maturi, Hashim Alshehri

Applied Mathematics Vol.13 No.12，December 30, 2022

DOI: 10.4236/am.2022.1312060 81 Downloads 444 Views Citations
Higher Order Aitken Extrapolation with Application to Converging and Diverging Gauss-Seidel Iterations (Articles)

Ababu Teklemariam Tiruneh

Journal of Applied Mathematics and Physics Vol.1 No.5，November 12, 2013

DOI: 10.4236/jamp.2013.15019 3,637 Downloads 6,859 Views Citations

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