Uniform Framework for Unconstrained and Constrained Optimization: Optimization on Riemannian Manifolds

摘要: Research on unconstrained and constrained optimization has been separately conducted for a long time. Normally, optimization, especially the nonlinear equality problem is much more difficult to be researched. People became recognize that both are actually Riemannian manifolds since 1982. Therefore, methods can extended directly cases under condition of manifolds. Recently, scholars realize importance manifold it become new direction research optimization. This article reviews development applications adduces correlative arithmetic some examples in addition.