A new family of Schroder's method and its variants based on power means for multiple roots of nonlinear equations

• Autores: V. Kanwar, Kapil K. Sharma, Ramandeep Behl
• Localización: International journal of mathematical education in science and technology, ISSN 0020-739X, Vol. 41, Nº. 4, 2010, págs. 558-565
• Idioma: inglés
• DOI: 10.1080/00207390903564660
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• Resumen

  • In this article, we derive one-parameter family of Schroder's method based on Gupta et al.'s (K.C. Gupta, V. Kanwar, and S. Kumar, A family of ellipse methods for solving non-linear equations, Int. J. Math. Educ. Sci. Technol. 40 (2009), pp. 571-575) family of ellipse methods for the solution of nonlinear equations. Further, we introduce new families of Schroder-type methods for multiple roots with cubic convergence. Proposed families are derived from modified Newton's method for multiple roots and one-parameter family of Schroder's method. Numerical examples are also provided to show that these new methods are competitive to other known methods for multiple roots.