大型带状特征值问题的块Jacobi-Davidson方法  

Block Jacobi-Davidson Method of Large Eigenvalue Problem

作　　者：谭静[1] 汪晓虹[2] 

机构地区：[1]淮安信息职业技术学院基础部,江苏淮安223003 [2]南京航空航天大学数学系,江苏南京210016

出　　处：《南京工程学院学报（自然科学版）》2015年第3期63-68,共6页Journal of Nanjing Institute of Technology(Natural Science Edition)

摘　　要：对大型矩阵,块校正方程求解的工作量大,有效求解校正方程是块Jacobi-Davidson方法的关键.研究块Jacobi-Davidson方法校正方程的不精确求解,构造预处理矩阵的块不完全分解法,并通过数值试验,对多种预条件子的效果进行比较.When it comes to solving large matrix problems, block correction equation solution involves enormous amount of work. The key of block Jacobi-Davidson method lies in effective solution correction equation. To research the inexact solution of block Jacobi-Davidson correction equation, the incomplete block decomposition method of precondition matrix is constructed, and numerical experiments are carried out to compare the effect of preconditions.

关 键 词：块Jacobi-Davidson方法 校正方程 预处理矩阵 

分 类 号：O151.21[理学—数学]