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翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク Hermite interpolation ： ウィキペディア英語版 Hermite interpolation In numerical analysis, Hermite interpolation, named after Charles Hermite, is a method of interpolating data points as a polynomial function. The generated Hermite polynomial is closely related to the Newton polynomial, in that both are derived from the calculation of divided differences. Unlike Newton interpolation, Hermite interpolation matches an unknown function both in observed value, and the observed value of its first ''m'' derivatives. This means that ''n''(''m'' + 1) values :$$ \begin (x_0, y_0), &(x_1, y_1), &\ldots, &(x_, y_), \\ (x_0, y_0'), &(x_1, y_1'), &\ldots, &(x_, y_'), \\ \vdots & \vdots & &\vdots \\ (x_0, y_0^), &(x_1, y_1^), &\ldots, &(x_, y_^) \end must be known, rather than just the first ''n'' values required for Newton interpolation. The resulting polynomial may have degree at most ''n''(''m'' + 1) − 1, whereas the Newton polynomial has maximum degree ''n'' − 1. (In the general case, there is no need for ''m'' to be a fixed value; that is, some points may have more known derivatives than others. In this case the resulting polynomial may have degree ''N'' − 1, with ''N'' the number of data points.) == Usage == 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「Hermite interpolation」の詳細全文を読む スポンサード リンク 翻訳と辞書 : 翻訳のためのインターネットリソース Copyright(C) kotoba.ne.jp 1997-2016. All Rights Reserved.