EXTENDING OF NEWTON’S ITERATIVE METHOD AND INTRODUCING FAST METHODS FOR SOLVING NONLINEAR EQUATIONS

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AHDIAGHDAM S.; REZAPOUR R.

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Paper Information

Journal: Journal of Operational Research in its Applications Year:2010 | Volume:7 | Issue:3 (26) Page(s): 11-19

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Information Journal Paper

Title

EXTENDING OF NEWTON’S ITERATIVE METHOD AND INTRODUCING FAST METHODS FOR SOLVING NONLINEAR EQUATIONS

Author(s)

AHDIAGHDAM S. | REZAPOUR R. | Issue Writer Certificate

Keywords

ROOT FINDINGQ3

NEWTON’S METHODQ3

ITERATIVE METHODSQ3

NUMERICAL INTEGRATIONQ3

NUMERICAL DIFFERENTIATIONQ3

Abstract

In this paper, we consider some cubic-order corrections of classic NEWTON’S METHOD with Halley’s method and produce the combined methods by using Gauss’ NUMERICAL DIFFERENTIATION and NUMERICAL INTEGRATION methods. Analysis of convergence verifying that the presented methods have five or six convergence order. Numerical tests satisfying these methods are more useful than the others.

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APA: Copy

AHDIAGHDAM, S., & REZAPOUR, R.. (2010). EXTENDING OF NEWTON’S ITERATIVE METHOD AND INTRODUCING FAST METHODS FOR SOLVING NONLINEAR EQUATIONS. JOURNAL OF OPERATIONAL RESEARCH AND ITS APPLICATIONS (JOURNAL OF APPLIED MATHEMATICS), 7(3 (26)), 11-19. SID. https://sid.ir/paper/164521/en

Vancouver: Copy

AHDIAGHDAM S., REZAPOUR R.. EXTENDING OF NEWTON’S ITERATIVE METHOD AND INTRODUCING FAST METHODS FOR SOLVING NONLINEAR EQUATIONS. JOURNAL OF OPERATIONAL RESEARCH AND ITS APPLICATIONS (JOURNAL OF APPLIED MATHEMATICS)[Internet]. 2010;7(3 (26)):11-19. Available from: https://sid.ir/paper/164521/en

IEEE: Copy

S. AHDIAGHDAM, and R. REZAPOUR, “EXTENDING OF NEWTON’S ITERATIVE METHOD AND INTRODUCING FAST METHODS FOR SOLVING NONLINEAR EQUATIONS,” JOURNAL OF OPERATIONAL RESEARCH AND ITS APPLICATIONS (JOURNAL OF APPLIED MATHEMATICS), vol. 7, no. 3 (26), pp. 11–19, 2010, [Online]. Available: https://sid.ir/paper/164521/en

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