1Kantorovich L V, Akilov G P. Functional Analysis. Oxford: Pergamon, 1982.
2Smale S. Newton's method estimates from data at one point. In: Ewing R, Gross K, Martin C, eds. The Merging of Disciplines: New Directions in Pure, Applied and Computational Mathematics. New York:Springer, 1986. 185-196.
3Traub J E Wozniakowski H. Convergence and complexity of Newton iteration. J Assoc Comput Math,1979, 29:250-258.
4王兴华.Newton方法的收敛性[J].科学通报(数理化专辑),1980,25:36-37.
5Wang X H. Convergence of Newton's method and uniqueness of the solution of equations in Banach space. IMA J Numer Anal, 2000, 20(1): 123-134.
6Wang X H. Convergence of Newton's method and inverse function theorem in Banach space. Mathematics of Computation, 1999, 225(68): 169-186.
7Edelman A, Arias T A, Smith T. The geometry of algorithms with orthogonality constraints. SIAM J Matrix Anal Appl, 1998, 20(2): 303-353.
8Gabay D. Minimizing a differentiable function over a differential manifold. J Optim Theory Appl, 1982,37(2): 177-219.
9Smith S T. Optimization techniques on Riemannian manifolds. In: Fields Institute Communications 3.Providence: AMS, 1994. 113-146.
10Udriste C. Convex Functions and Optimization Methods on Riemannian Manifolds. Mathematics and Its Applications, Vol 297. Dordrecht: Kluwer Academic, 1994.
