Student misconceptions using Newton's method for nonlinear optimization
Fox, William P.
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Newton's Method is used to find roots of differentiable functions, and is easily adapted to find critical points of twice-differentiable functions. Students often rely on the numerical results of Newton's Method without a complete analysis of the function. We offer a function that when used in a lab setting using technology allows the students to gain further insights into the use of Newton's Method.
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Romano, M.; Agrawal, B. (2004);The dynamics equations of a spacecraft consisting of two bodies mutually rotating around a common gimbal axis are derived by the use of the Newton–Euler approach. One of the bodies contains a cluster of single-gimbal var ...
Goldstein, Allen A. (Monterey, California. Naval Postgraduate School, 1989-02); NPS-53-88-010Pt.1. 1) Relying on a theorem of Nemerovsky and Yuden(1979) a lower bound is given for the efficiency of global Newton methods over the class C1(mu, Lambda). 2) The efficiency of Smale's global Newton method in a simple ...
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