頁籤選單縮合
題 名 | Convergence Behavior for Newton-Steffensen's Method Under Lipschitz Condition of Second Derivative |
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作 者 | Yu, Shaohua; Xu, Xiubin; Li, Jianqiu; Ling, Yonghui; | 書刊名 | Taiwanese Journal of Mathematics |
卷 期 | 15:6 2011.12[民100.12] |
頁 次 | 頁2577-2600 |
分類號 | 314.508 |
關鍵詞 | Newton-Steffensen's method; Majorizing function; Majorizing sequence; Lipschitz condition; Convergence criterion; Convergence radius; |
語 文 | 英文(English) |
英文摘要 | The present paper is concerned with the semilocal as well as the local convergence problems of Newton-Steffensen’s method to solve nonlinear operator equations in Banach spaces. Under the assumption that the second derivative of the operator satisfies Lipschitz condition, the convergence criterion and convergence ball for Newton-Steffensen’s method are established. |
本系統中英文摘要資訊取自各篇刊載內容。