Student misconceptions using Newton's method for nonlinear optimization
Appleget_Student_Misconceptions_2001.pdf (4.264Mb)Date
2001Metadata
Show full item recordAbstract
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.
Rights
This publication is a work of the U.S. Government as defined in Title 17, United States Code, Section 101. Copyright protection is not available for this work in the United States.Collections
Related items
Showing items related by title, author, creator and subject.
-
Attitude Dynamics/Control of Dual-Body Spacecraft with Variable-Speed Control Moment Gyros
(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 ... -
On calculating analytic centers
(Monterey, California. Naval Postgraduate School, 1989-08); NPS-53-89-015The analytic center of a polytope can be calculated in polynomial time by Newton's method. This note was motivated by papers of Renegar and Shub(88) and by Ye(89). We apply Smale's(86) estimates at one point for Newton's ... -
Calculating machine solution of quadratic and cubic equations by the odd number method
(American Mathematical Society, 1947-10);Eastlack has published a method for the solution of quadratic equations by means of a calculating machine. His process is extended here to the solution of cubic equations. In the ordinary manual operation of calculating ...
