Title :
Optimization on Riemannian manifold
Author_Institution :
Joint Astron. Center, Hilo, HI, USA
Abstract :
Proposes several geometric optimization algorithms which extend some developments on geometric optimization techniques. Unlike those developed in the pioneer work of Smith (1993), the new schemes are not conceptual but implementable in practice in the sense that the global minimization in one dimensional search is not required to be achievable. Convergence properties are established, convergence rates are obtained, and applications are briefly mentioned
Keywords :
convergence; geometry; optimisation; search problems; Riemannian manifold; convergence properties; geometric optimization algorithms; global minimization; one dimensional search; Astronomy; Constraint optimization; Convergence; Geometry; Linear programming; Optimization methods;
Conference_Titel :
Decision and Control, 1999. Proceedings of the 38th IEEE Conference on
Conference_Location :
Phoenix, AZ
Print_ISBN :
0-7803-5250-5
DOI :
10.1109/CDC.1999.832905
