In general, when a quasi-Newton method is applied to solve a system of nonlinear equations, the quasi-Newton direction is not necessarily a descent direction for the norm function. In this paper, we ...
SIAM Journal on Numerical Analysis, Vol. 42, No. 5 (2005), pp. 1830-1845 (16 pages) The paper presents a new affine invariant theory on asymptotic mesh independence of Newton's method for discretized ...
Newton method, invented by physicist Isaac Newton about 300 years ago, is an algorithm that still plays an important role in a wide range of fields, including logistics, financial engineering, ...
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