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Some Applications of the Newton-Raphson Method to Non-Linear Matrix Problems

Proceedings of the Royal Society of London. Series A, Mathematical and Physical Sciences, Vol. 271, No. 1346 (Jan. 22, 1963), pp. 324-331 (8 pages) ...
JSTOR Daily

New Criteria for Accuracy in Approximating Real Roots by the Newton-Raphson Method

The expression commonly given in the literature for the inherent error involved in the Newton-Raphson method is incorrect. New criteria are here derived which may be ...