pth-order approximation of the solution set of nonlinear equations

Given a system of nonlinear equations, a formula is derived for the family of its approximate solutions of up to the p th order of smallness. A formula approximating an implicit function up to the third order of smallness is presented. Iterative methods converging with the p th order are constructed...

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Veröffentlicht in:	Computational mathematics and mathematical physics Jg. 53; H. 12; S. 1763 - 1780
Hauptverfasser:	Evtushenko, Yu. G., Tret’yakov, A. A.
Format:	Journal Article
Sprache:	Englisch
Veröffentlicht:	Boston Springer US 01.12.2013 Springer Nature B.V
Schlagworte:	Approximation Computational mathematics Computational Mathematics and Numerical Analysis Mathematical analysis Mathematics Mathematics and Statistics Nonlinear equations Studies nonlinear equations degenerate case th-order approximations iterative method generalized implicit function theorem
ISSN:	0965-5425, 1555-6662
Online-Zugang:	Volltext
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