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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 Conic optimization ： ウィキペディア英語版 Conic optimization Conic optimization is a subfield of convex optimization that studies a class of structured convex optimization problems called conic optimization problems. A conic optimization problem consists of minimizing a convex function over the intersection of an affine subspace and a convex cone. The class of conic optimization problems is a subclass of convex optimization problems and it includes some of the most well known classes of convex optimization problems, namely linear and semidefinite programming. ==Definition== Given a real vector space ''X'', a convex, real-valued function :$f:C\; \backslash to\; \backslash mathbb\; R$ defined on a convex cone $C\; \backslash subset\; X$, and an affine subspace $\backslash mathcal$ defined by a set of affine constraints $h\_i(x)\; =\; 0\; \backslash$, a conic optimization problem is to find the point $x$ in $C\; \backslash cap\; \backslash mathcal$ for which the number $f(x)$ is smallest. Examples of $C$ include the positive orthant $\backslash mathbb\_+^n\; =\; \backslash left\backslash \backslash right\backslash \}$, positive semidefinite matrices $\backslash mathbb^n\_$, and the second-order cone $\backslash left\; \backslash \backslash times\; \backslash mathbb\; :\; \backslash lVert\; x\; \backslash rVert\; \backslash leq\; t\; \backslash right\; \backslash \}$. Often $f\; \backslash$ is a linear function, in which case the conic optimization problem reduces to a semidefinite program, a linear program, and a second order cone program, respectively. 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「Conic optimization」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.