Note on a global homotopy
暂无分享,去创建一个
In a lecture given at the M.R.C. Symposiucn on Recent Advances in Numerical Analysis in May, 1978, H. B. Keller discussed a global homotopy method for finding solutions of f (u) = 0. At that time he was unable to show that one of the hypotheses of his main result is satisfied by almost all initial points for paths determined by his method. The purpose of this note is to fill that gap in Keller's result.
[1] S. Smale. Convergent process of price adjust-ment and global newton methods , 1976 .
[2] C. B. García,et al. A Theorem on Homotopy Paths , 1978, Math. Oper. Res..
[3] F. J. Gould,et al. Relations Between Several Path Following Algorithms and Local and Global Newton Methods , 1980 .