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- W2035168304 abstract "where 8T-1(y; h) denotes the inverse with respect to h of 8T(y; h). The present writer [8]2 has shown that this iteration scheme, henceforth called Newton's method, may be used to solve certain nonlinear systems of second order differential equations subject to two point boundary conditions. Various other applications have been made by Kantorovic [3; 4; 5] and Mysovskih [6; 7]. In the papers of Kantorovic, conditions under which a sequence { yi } determined by Newton's method will converge to a solution of the equation" @default.
- W2035168304 created "2016-06-24" @default.
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- W2035168304 date "1952-06-01" @default.
- W2035168304 modified "2023-09-27" @default.
- W2035168304 title "Sufficient conditions for the convergence of Newton’s method in complex Banach spaces" @default.
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- W2035168304 doi "https://doi.org/10.1090/s0002-9939-1952-0055575-1" @default.
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