任意线性方程组的迭代解法  

An Iteration Method for System of Arbitrarily Linear Equations

作　　者：钱志良[1] 孔海涛[1] 

机构地区：[1]常州信息职业技术学院基础部,江苏常州213164

出　　处：《常州信息职业技术学院学报》2008年第6期47-48,51,共3页Journal of Changzhou College of Information Technology

摘　　要：线性方程组Ax=b,在A是非奇异的情况下,有很多种迭代法,但在A是奇异或长方的情况下,如何保障迭代法的收敛?可先构造A的一个恰当的正常分裂,来保障迭代法收敛的情况下,再用迭代公式求出线性方程组Ax=b的解。Under the A is nonsingular, there are a lot of method of the system of linear equations Ax=b, but under the A is singular or rectangle, how to guarantee the constringency of the iteration method？ We can have conformation of a clearly abruption of A firstly, and guarantee the constringency of the iteration method, we can obtain the result of the system of linear equation Ax=b.

关 键 词：正常分裂 谱半径 迭代法 收敛 

分 类 号：O241.6[理学—计算数学]