For over three centuries, researchers have relied on a powerful algorithm developed by Isaac Newton to tackle complex problems in logistics, finance, computer vision, and even pure math. This simple ...
SIAM Journal on Numerical Analysis, Vol. 20, No. 2 (Apr., 1983), pp. 296-314 (19 pages) If Newton's method is employed to find a root of a map from a Banach space into itself and the derivative is ...
SIAM Journal on Numerical Analysis, Vol. 47, No. 3 (2009), pp. 1827-1846 (20 pages) We study the convergence of regularized Newton methods applied to nonlinear operator equations in Hilbert spaces if ...
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