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Some supplementary results on the \(1+\sqrt 2\) order method for the solution of nonlinear equations. (English) Zbl 0478.65029


MSC:

65H10 Numerical computation of solutions to systems of equations

Citations:

Zbl 0431.65040
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References:

[1] Hofmann, W.: Monotonies?tze f?r Regula-falsi-und Newton-Verfahren, Computing8, 143-156 (1971) · Zbl 0229.65051 · doi:10.1007/BF02234050
[2] King, R.F.: Tangent methods for nonlinear equations. Numer. Math.18, 298-304 (1972) · Zbl 0215.27403 · doi:10.1007/BF01404680
[3] Laasonen, P.: Ein ?berquadratisch konvergenter iterativer Algorithmus. Ann. Acad. Sci. Fenn. Ser. A.I. 450 (1969) · Zbl 0193.11704
[4] Ortega, J.M., Rheinboldt, W.C.: Iterative solution of nonlinear equations in several variables, New York-London: Academic Press, 1970 · Zbl 0241.65046
[5] Ostrowski, A.M.: Solution of equations in Euclidean and Banach spaces. New York-London: Academic Press, 1973 · Zbl 0304.65002
[6] Traub, J.F.: Iterative methods for the solution of equations. Englewood Cliffs: Prentice Hall, 1964 · Zbl 0121.11204
[7] Werner, W.: ?ber ein Verfahren der Ordnung 1+ \(\sqrt 2 \) zur Nullstellenbestimmung. Numer. Math.32, 333-342 (1979) · Zbl 0431.65040 · doi:10.1007/BF01397005
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