A New Family of Schroder's Method and Its Variants Based on Power Means for Multiple Roots of Nonlinear Equations

Autor/inn/en	Kanwar, V.; Sharma, Kapil K.; Behl, Ramandeep
Titel	A New Family of Schroder's Method and Its Variants Based on Power Means for Multiple Roots of Nonlinear Equations
Quelle	In: International Journal of Mathematical Education in Science and Technology, 41 (2010) 4, S.558-565 (8 Seiten)Infoseite zur Zeitschrift PDF als Volltext Verfügbarkeit
Sprache	englisch
Dokumenttyp	gedruckt; online; Zeitschriftenaufsatz
ISSN	0020-739X
Schlagwörter	Geometric Concepts; Equations (Mathematics); Matrices; Mathematics Instruction; Problem Solving; Mathematical Concepts; Mathematical Logic + Suchen Sie Ihr Suchwort? Elementare Geometrie; Equations; Mathematics; Gleichungslehre; Matrizenrechnung; Mathematics lessons; Mathematikunterricht; Problemlösen; Mathematical logics; Mathematische Logik
Abstract	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. (Contains 2 tables.) (As Provided).
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Erfasst von	ERIC (Education Resources Information Center), Washington, DC
Update	2017/4/10