辅助问题原理 以求极小值为例,说明辅助问题原理。假设J1(x)可微,函数J2(x)不一定可微,对于原问题minJ1(x)+J2(x)若能构造出一辅助问题:minG(x)+εJ2(x),且存在x*使得G'(x*)=εJ1'(x*)成立,则原问题可转化为求解辅助问题,x*即为原问题的解,G(x)称为辅助函数。构造辅助函数形式为G (x )=K (x )+<εJ ′(x )?K′(x ),x>,式中:K(x)为核函数;<,>表示数量积。
辅助问题原理 Auxiliary problem principle
Variational inequality, variational-like inequality, algorithm, auxiliary problem, stability, fuzzy mapping.2000 Mathematics Subject Classification. 47 J 20, 49 J 40.
变分不等式, 似变分不等式, 算法, 辅助问题, 稳定性, 模糊映射。
参考来源 - 辅助原理在解变分不等式中的应用·2,447,543篇论文数据,部分数据来源于NoteExpress
目的研究用辅助问题方法求解隐互补问题。
Objective: To study auxiliary problem method for solving implicit complementarity problems.
对广义变分不等式问题(GVIP)提出了一种新的辅助问题算法。
A new auxiliary problem method for solving the general variational inequalities (GVIP) is constructed.
首先,证明了这类广义强非线性混合似变分不等式的辅助问题解的存在性。
Firstly, the existence of solutions to the auxiliary problems for this class of generalized strongly nonlinear mixed variational-like inequalities is shown.
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