ylfink@water.UUCP (ylfink) (10/28/86)
DEPARTMENT OF COMPUTER SCIENCE UNIVERSITY OF WATERLOO SEMINAR ACTIVITIES NON-LINEAR OPTIMIZATION SEMINAR (Joint with C&O) - Friday, October 31, 1986. Dr. Aharon Ben-Tal of the Israel Institute of Technol- ogy will speak on ``The Second Order Steepest Descent Method''. TIME: 3:30 PM ROOM: MC 3003 ABSTRACT A new algorithm for unconstrained minimization is introduced. Unlike classical methods, which improve a current solution by moving along a straight line, the new method improves the solution by moving along a qua- dratic curve in R superscript n. The specific curve is determined by minimizing an appropriate approximate model of the objective function. The algorithm thus obtained SOSD is a natural second order extension of the steepest descent method, and has superior conver- gence properties compared to the Newton method.