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Sharp error bounds for Newton’s process. (English) Zbl 0434.65034

65J15 Numerical solutions to equations with nonlinear operators
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[1] Gragg, W.B., Tapia, R.A.: Optimal error bounds for the Newton-Kantorovich theorem. SIAM J., Numer. Anal.11, 10-13 (1974) · Zbl 0284.65042
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[10] Pt?k, V.: Nondiscrete mathematical induction and iterative existence proofs. Linear algebra and its applications,13, 223-236 (1976) · Zbl 0323.46005
[11] Pt?k, V.: The rate of convergence of Newton’s process. Numer. Math.25, 279-285 (1976) · Zbl 0304.65037
[12] Pt?k, V.: Nondiscrete mathematical induction. In: General topology and its relations to modern analysis and algebra IV, pp. 166-178, Lecture Notes in Mathematics 609, Berlin-Heidelberg-New York: Springer 1977
[13] Pt?k, V.: What should be a rate of convergence? R.A.I.R.O. Analyse Num?rique11, 279-286 (1977) · Zbl 0378.65031
[14] Tapia, R.A.: The Kantorovich theorem for Newton’s method. Amer. Math. Monthly,78, 389-392 (1971) · Zbl 0215.27404
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