Wu, Xinyuan A new continuation Newton-like method and its deformation. (English) Zbl 1023.65043 Appl. Math. Comput. 112, No. 1, 75-78 (2000). Summary: This paper presents a family of new continuation Newton-like methods and its deformations for computing approximate solutions of the nonlinear algebraic equation \(f(x)=0\). From a practical point of view, the new methods are vast superior. Cited in 2 ReviewsCited in 40 Documents MSC: 65H05 Numerical computation of solutions to single equations 65H20 Global methods, including homotopy approaches to the numerical solution of nonlinear equations Keywords:nonlinear algebraic equation; continuation Newton-like method; iteration method PDF BibTeX XML Cite \textit{X. Wu}, Appl. Math. Comput. 112, No. 1, 75--78 (2000; Zbl 1023.65043) Full Text: DOI OpenURL References: [1] X.Y. Wu, On A Class of Quadratic Convergence Iteration Formulae without Derivatives, Appl. Math. Comput. 107 (2000) 77-80 · Zbl 1023.65042 [2] J.K. Hale, Ordinary Differential Equations, Roert E. Krieer, New York, 1980 · Zbl 0433.34003 [3] M.W. Hirsch, S. Smale, Differential Equations, Dynamic Systems and Linear Algebra, Academic Press, New York, 1974 · Zbl 0309.34001 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.