Lanczos方法解大型矩阵逆谱问题的稳定性  

STABILITY OF THE LANCZOS ALGORITHM IN SOLVING LARGE INVERSE SPECTRAL PROBLEMS

作　　者：朱本仁[1] 王桂松 

机构地区：[1]山东大学

出　　处：《计算数学》1994年第2期211-220,共10页Mathematica Numerica Sinica

摘　　要：Ｌａｎｃｚｏｓ方法解大型矩阵逆谱问题的稳定性朱本仁，王桂松（山东大学）ＳＴＡＢＩＬＩＴＹＯＦＴＨＥＬＡＮＣＺＯＳＡＬＧＯＲＩＴＨＭＩＮＳＯＬＶＩＮＧＬＡＲＧＥＩＮＶＥＲＳＥＳＰＥＣＴＲＡＬＰＲＯＢＬＥＭＳ￥ＺｈｕＢｅｎ－ｒｅｎ；ＷａｎｇＧｕｉ－ｓｏｎ...Abstract In this work an analysis of the stability of Lanczos algorithm in solving large ISP leads to Polynomial grownth-order of the eigenfunctions of the matrix as its order n→ +∞in the stationary state. Secondly, a perturbed bound is derived in order to keep the same grownth-order for the perturbed matrix. Some practically important examples are persented, and numerical tests strongly support the results.

关 键 词：矩阵 逆谱问题 Lanczos法 特征值 

分 类 号：O241.6[理学—计算数学]