求解非线性级数拟合问题的新模式搜索方法

A new pattern search approach on solving nonlinear series approximation problem

粘弹性材料是一种在工程中广泛应用的重要材料,在研究它的一些特性时都需要涉及相关的非线性级数拟合问题。遗憾的是,目前的研究成果仍远远无法满足工程实际的需要,因此对它的进一步研究和探索是非常重要且紧迫的。文中根据待求问题的特性,首先建立了新的优化模型,然后提出了基于筛选技术的模式搜索算法。相关的数值实验证明了新模型及算法的可行性和高效性。

Viscoelastic material is a kind of important materials in our daily life. Series approximation plays a key role in analyzing its theological property and creep compliance characteristic. Among which, Prony series is a typical object of study. In this paper, a new pattern search approach on solving Prony series approximating problem is proposed. However, the current achievements are far from satisfying, so it＇s urgent to develop new strategy and methods. First,we transfer the approximating problem into an im- proved optimization model. Second, the pattern search method based on filter technique is proposed for the first time for finding optimal solutions. Finally, numerical experiments are presented to show the efficiency of the proposed model and method.