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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 Himmelblau's function ： ウィキペディア英語版 Himmelblau's function In mathematical optimization, Himmelblau's function is a multi-modal function, used to test the performance of optimization algorithms. The function is defined by: : $f(x,\; y)\; =\; (x^2+y-11)^2\; +\; (x+y^2-7)^2.\backslash quad$ It has one local maximum at $x\; =\; -0.270845\; \backslash ,$ and $y\; =\; -0.923039\; \backslash ,$ where $f(x,y)\; =\; 181.617\; \backslash ,$, and four identical local minima: * $f(3.0,\; 2.0)\; =\; 0.0,\; \backslash quad$ * $f(-2.805118,\; 3.131312)\; =\; 0.0,\; \backslash quad$ * $f(-3.779310,\; -3.283186)\; =\; 0.0,\; \backslash quad$ * $f(3.584428,\; -1.848126)\; =\; 0.0.\; \backslash quad$ The locations of all the minima can be found analytically. However, because they are roots of cubic polynomials, when written in terms of radicals, the expressions are somewhat complicated. The function is named after David Mautner Himmelblau (1924–2011), who introduced it. == See also == *Test functions for optimization 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「Himmelblau's function」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.