Title :
A new approach to global optimization using ideas from nonlinear stability theory
Author :
Shashikala, H. ; Sancheti, N.K. ; Keerthi, S.S.
Author_Institution :
Dept. of Comput. Sci. & Autom., Indian Inst. of Sci., Bangalore, India
Abstract :
Describes a method for determining the global optimum of a function on a compact manifold. The method determines and connects all the local minima and local maxima of a function on a compact manifold. The method is based on properties of stability regions associated with the equilibria of the gradient vector field. Applications of the method include global optimization and nonlinear equation solving
Keywords :
nonlinear equations; optimisation; stability; compact manifold; global optimization; gradient vector field; local maxima; local minima; nonlinear equation solving; nonlinear stability theory; stability regions; Artificial intelligence; Automation; Computer science; Joining processes; Lagrangian functions; Nonlinear equations; Optimization methods; Polynomials; Simulated annealing; Stability;
Conference_Titel :
Circuits and Systems, 1992. ISCAS '92. Proceedings., 1992 IEEE International Symposium on
Conference_Location :
San Diego, CA
Print_ISBN :
0-7803-0593-0
DOI :
10.1109/ISCAS.1992.230612
