大型问题的计算模型与优化算法

Mathematical Models and Optimal Algorithms for Solving Large-Scale Problems

针对工程和科学计算中解决大型问题所采用的梯度法和拟定Newton法计算量大和存储量大的特点,引入了MATLAB来求解大型问题.介绍了在MATLAB中能求解的大型问题的数学模型和对应函数,并对用MATLAB解决问题的方法进行了可行性分析.最后以雅可比矩阵的非线性等式为例来说明用MATLAB求解问题的方法.

This paper introduces a method of using MATLAB for solving large-scale problems ,based on the feature of the large computing and saving brought by methods of gradient and imitational Newton in engineering and scientitle computing. In this paper, we have presented some mathematical models and relevant functions for solving the large-scale problems and analysed their fesibility. In the last part, we illustrate, by an example of solving nonlinear equtation of Jaccobi matrix, the method of using MATLAB for solving problems in detail.