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International Journal of Computer Mathematics Volume 23, 1988 - Issue 3-4
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Original Articles

Several new methods for solving equations

Beny Neta Department of Mathematics, Naval Postgraduate School, Code N3Nd, Monterey, CA, 93943, USA
Pages 265-282 | Received 01 Nov 1986, Published online: 19 Mar 2007

Citations (11)

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M. A. Hernández & N. Romero . (2004) High order algorithms for approximating nth roots. International Journal of Computer Mathematics 81:8, pages 1001-1014.
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Articles from other publishers (10)

Miquel Grau-Sánchez, Miquel Noguera & José M. Gutiérrez. (2016) A multidimensional generalization of some classes of iterative methods. SeMA Journal 74:1, pages 57-73.
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D. Sbibih, Abdelhafid Serghini, A. Tijini & A. Zidna. (2015) A fourth order method for finding a simple root of univariate function. Boletim da Sociedade Paranaense de Matemática 34:2, pages 197-211.
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Changbum Chun & Mi Young Lee. (2013) A new optimal eighth-order family of iterative methods for the solution of nonlinear equations. Applied Mathematics and Computation 223, pages 506-519.
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J.M. McNamee & V.Y. Pan. 2013. Numerical Methods for Roots of Polynomials - Part II. Numerical Methods for Roots of Polynomials - Part II 215 379 .
Beong In Yun. (2012) Iterative methods for solving nonlinear equations with finitely many roots in an interval. Journal of Computational and Applied Mathematics 236:13, pages 3308-3318.
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Changbum Chun & Beny Neta. (2012) A new sixth-order scheme for nonlinear equations. Applied Mathematics Letters 25:2, pages 185-189.
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Miodrag S. Petković, Jovana Džunić & Beny Neta. (2011) Interpolatory multipoint methods with memory for solving nonlinear equations. Applied Mathematics and Computation 218:6, pages 2533-2541.
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Xiaowu Li, Chunlai Mu, Jinwen Ma & Chan Wang. (2010) Sixteenth-order method for nonlinear equations. Applied Mathematics and Computation 215:10, pages 3754-3758.
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Changbum Chun & Beny Neta. (2009) Certain improvements of Newton’s method with fourth-order convergence. Applied Mathematics and Computation 215:2, pages 821-828.
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Changbum Chun & Beny Neta. (2008) Some modification of Newton’s method by the method of undetermined coefficients. Computers & Mathematics with Applications 56:10, pages 2528-2538.
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