Newton-Raphson’s Method Newton’s Method - Articles

The Formulas to Compare the Convergences of Newton’s Method and the Extended Newton’s Method (Tsuchikura-Horiguchi Method) and the Numerical Calculations (Articles)

Shunji Horiguchi

Applied Mathematics Vol.7 No.1，January 20, 2016

DOI: 10.4236/am.2016.71004 5,410 Downloads 10,018 Views Citations
On Relations between the General Recurrence Formula of the Extension of Murase-Newton’s Method (the Extension of Tsuchikura*-Horiguchi’s Method) and Horner’s Method (Articles)

Shunji Horiguchi

Applied Mathematics Vol.5 No.4，March 18, 2014

DOI: 10.4236/am.2014.54074 4,043 Downloads 6,091 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 1,422 Downloads 2,386 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 628 Downloads 2,669 Views Citations
This article belongs to the Special Issue on Number Theory
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 4,168 Downloads 7,129 Views Citations
Elusive Zeros under Newton’s Method (Articles)

Trevor M. O’Brien, Gareth E. Roberts

Applied Mathematics Vol.5 No.15，August 19, 2014

DOI: 10.4236/am.2014.515231 4,407 Downloads 5,421 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 4,284 Downloads 6,745 Views Citations
A Numerical Approach to the Customer Lifetime Value (Articles)

Darkhijav Bayanjargal, Batsukh Davaasuren, Rentsen Enkhbat

iBusiness Vol.10 No.2，June 7, 2018

DOI: 10.4236/ib.2018.102005 1,331 Downloads 4,305 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 3,826 Downloads 5,912 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 3,001 Downloads 4,776 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 5,165 Downloads 6,855 Views Citations
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 2,712 Downloads 4,113 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 280 Downloads 1,468 Views Citations
A Discrete Newton's Method for Gain Based Predistorter (Articles)

Xiaochen LIN, Minglu JIN, Aifei LIU

Int'l J. of Communications, Network and System Sciences Vol.1 No.1，June 4, 2008

DOI: 10.4236/ijcns.2008.11003 5,470 Downloads 10,675 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 5,810 Downloads 10,789 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 9,217 Downloads 18,216 Views Citations
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 3,299 Downloads 6,075 Views Citations
This article belongs to the Special Issue on Numerical Analysis
Computational Solutions of Two Dimensional Convection Diffusion Equation Using Crank-Nicolson and Time Efficient ADI (Articles)

Muhammad Saqib, Shahid Hasnain, Daoud Suleiman Mashat

American Journal of Computational Mathematics Vol.7 No.3，August 3, 2017

DOI: 10.4236/ajcm.2017.73019 2,225 Downloads 6,327 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 6,413 Downloads 12,211 Views Citations
Three Criticisms of Newton’s Inductive Argument in the Principia (Articles)

Nicholas Maxwell

Advances in Historical Studies Vol.3 No.1，February 28, 2014

DOI: 10.4236/ahs.2014.31002 5,241 Downloads 7,586 Views Citations
This article belongs to the Special Issue on Newton: History and Historical Epistemology of Science

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