Department of Mathematics, Zhejiang University, Hangzhou 310027, People's Republic of China
Abstract:
** Email: cli{at}zju.edu.cn*** Email: wjh{at}zjut.edu.cn The -conditions for vector fields on Riemannian manifolds areintroduced. The -theory and the -theory for Newton's methodon Riemannian manifolds are established under the -conditions.Applications to analytic vector fields are provided and theresults due to Dedieu et al. (2003, IMA J. Numer. Anal., 23,395419) are improved.