New modification methods for finding zeros of nonlinear functions

DOI10.1007/978-981-99-0447-1_37OpenAlexW4378650833MaRDI QIDQ6153787

Khalid Al-Boureeny, Osama Yusuf Ababneh

Publication date: 19 March 2024

Published in: Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-981-99-0447-1_37

zbMATH Keywords

nonlinear equationsNewton methodsderivative-free methodssimple rootsnonlinear functions

Mathematics Subject Classification ID

Proceedings of conferences of miscellaneous specific interest (00B25)

Cites Work

• On Halley-type iterations with free second derivative
• Numerical optimization. Theoretical and practice aspects
• On Newton-type methods with cubic convergence
• Some new variants of Newton's method.
• An optimized derivative-free form of the Potra-Pták method
• Modified Householder iterative method free from second derivatives for nonlinear equations
• Classroom Note:Geometry and Convergence of Euler's and Halley's Methods
• On the Geometry of Halley's Method
• Historical Development of the Newton–Raphson Method
• COMPARATIVE STUDY OF METHODS OF VARIOUS ORDERS FOR FINDING SIMPLE ROOTS OF NONLINEAR EQUATIONS
• An acceleration of Newton's method: Super-Halley method
• A variant of Newton's method with accelerated third-order convergence
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