半精化双正交Lanczos方法  

A semi-refined biorthogonalization Lanczos method

作　　者：吴钢[1] 

机构地区：[1]大连理工大学应用数学系,辽宁大连116024

出　　处：《大连理工大学学报》2002年第4期381-386,共6页Journal of Dalian University of Technology

摘　　要：根据精化投影方法的思想及双正交 Lanczos过程提出一种近似精化方法——半精化双正交 Lanczos方法 ,并给出了半精化近似特征对与精化近似特征对对应的残量范数之间的关系 ,数值实验表明了新算法的优越性 .An approximate refined method,i.e.,a semi-refined biorthogonalization Lanczos method based on the refined strategy and the biorthogonalization procedure is proposed. Moreover, the relationship between the norm of semi-refined approximate eigenpair and that of refined approximate eigenpair is analyzed. Some numerical experiments are carried out and the results show the new algorithm is superior to its counterparts.

关 键 词：半精化双正交Lanczos方法 正交投影 斜轴投影 双正交过程 KRYLOV子空间 半精化向量 精化投影 特征值 

分 类 号：O241.6[理学—计算数学]