求解逆矩阵的牛顿迭代法  

Newton Iterative Method for Solving Inverse Matrices

作　　者：郝强[1] 王娇[1] Hao Qiang;Wang Jiao(Department of Mathematics,Changzhi University,Changzhi Shanxi 046011)

机构地区：[1]长治学院数学系,山西长治046011

出　　处：《长治学院学报》2023年第2期24-27,共4页Journal of Changzhi University

基　　金：长治学院校级教学改革创新项目(JC202215)。

摘　　要：在线性代数课程中,关于逆矩阵的求解有很多方法,但均不适合在计算机上实现。文章将牛顿迭代法应用到逆矩阵的求解过程中,给出了求解逆矩阵的牛顿迭代法。实验结果表明,该算法是一种有效的算法,并且特别适合在计算机上进行计算。In the Linear Algebra course,there are many ways to solve the inverse matrix,but these methods are not suitable for computer realization.In this paper,Newton iterative method is applied to the solution of inverse matrix,and Newton iterative method is given to solve inverse matrix.The experimental results show that this algorithm is effective,and it is especially suitable for computing on computer.

关 键 词：逆矩阵 牛顿迭代法 计算机计算 

分 类 号：O151.21[理学—数学]