2PPJ迭代收敛的充要条件  

A sufficient and necessary of the convergence of the 2PPJ iterative method

作　　者：高树玲 畅大伟 GAO Shuling;CHANG Dawei(College of Mathematics and Statistics,Zhoukou Normal University,Zhoukou 466001,China;College of Mathematics and Information Science,Shaanxi Normal University,Xi＇an 710062,China)

机构地区：[1]周口师范学院数学与统计学院,河南周口466001 [2]陕西师范大学数学与信息科学学院,陕西西安710062

出　　处：《周口师范学院学报》2018年第5期14-17,共4页Journal of Zhoukou Normal University

基　　金：国家自然科学基金资助项目(No.60671063)

摘　　要：探究线性方程组Ax=b的系数矩阵A的Jacobi矩阵的特征值的平方为纯虚数或者是零时2PPJ迭代的收敛性问题,得出此类方程组2PPJ迭代的收敛性区间.并且给出一个数例对结论加以说明.A linear systcm Ax=b is studied ,where A is coefficient matrix and the square of the eigenvalues of its Jacobi matrix are all pure imaginaries or zeroes .For its 2PPJ itcrative method ,the range of convergence is given. In addition,a nu merical example is given for illustrating the results.

关 键 词：特征值 2PPJ迭代法 收敛性 

分 类 号：O241.6[理学—计算数学]