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

V. Kanwar, Kapil K. Sharma, Ramandeep Behl

• 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.