改进的布洛依登算法  

A Modified Broyden Algorithm

作　　者：李福祥 黄佳玥 

机构地区：[1]哈尔滨理工大学理学院,黑龙江哈尔滨150080

出　　处：《哈尔滨理工大学学报》2017年第6期127-130,共4页Journal of Harbin University of Science and Technology

基　　金：黑龙江省教育厅科学技术研究项目(11521045);黑龙江省自然科学基金(A200811)

摘　　要：提出了一种改进的布洛依登算法,证明了新方法的收敛性,通过进行数值实验验证了改进布洛依登算法的收敛阶数及有效性,并通过与牛顿法以及拟牛顿法的比较体现了改进的布洛依登算法的优越性。A Modified Broyden algorithm is presented to solve nonlinear equations in this paper. The convergence of the new algorithml is proved. The convergent order and effectiveness of improved Broyden method can be verified by numerical experiments. Through comparing with Newton's method and quasi-newton method,the advantages of the improvement Broyden method are showed.

关 键 词：非线性方程组 拟牛顿迭代法 改进拟牛顿迭代法 

分 类 号：O22[理学—运筹学与控制论]