障碍函数 meaning in English
barrier function
Examples
- Barrier function for the nonlinear complementarity problem
非线形互补问题的障碍函数法 - The second chapter reveals the mathematical essence of entropy regularization method for the finite min - max problem , through exploring the relationship between entropy regularization method and exponential penalty function method . the third chapter extends maximum entropy method to a general inequality constrained optimization problem and establishes the lagrangian regularization approach . the fourth chapter presents a unified framework for constructing penalty functions by virtue of the lagrangian regularization approach , and illustrates it by some specific penalty and barrier function examples
第一章为绪论，简单描述了熵正则化方法与罚函数法的研究现状；第二章，针对有限极大极小问题，通过研究熵正则化方法与指数(乘子)罚函数方法之间的关系，揭示熵正则方法的数学本质；第三章将极大熵方法推广到一般不等式约束优化问题上，建立了拉格朗日正则化方法；第四章利用第三章建立的拉格朗日正则化方法，给出一种构造罚函数的统一框架，并通过具体的罚和障碍函数例子加以说明。 - Chapter 2 establishes the theoretical framework of a class of dual algorithms for solving nonlinear optimization problems with inequality constraints . we prove , under some mild assumptions , the local convergence theorem for this class of dual algorithms and present the error bound for approximate solutions . the modified barrier function methods of polyak ( 1992 ) and the augmented lagrange function method of bertsekas ( 1982 ) are verified to be the special cases of the class of dual algorithms
第2章建立求解不等式约束优化问题的一类对偶算法的理论框架，在适当的假设条件下，证明了该类算法的局部收敛性质，并给出近似解的误差界，验证了polyak ( 1992 )的修正障碍函数算法以及bertsekas ( 1982 )的增广lagrange函数算法都是这类算法的特例。