CONVERGENCE OF THE SHIFTED QR ALGORITHM ON 3 X-3 NORMAL MATRICES

被引：11

作者：

BATTERSON, S

机构：

[1] Department of Mathematics, Emory University, Atlanta, 30322, GA

来源：

NUMERISCHE MATHEMATIK | 1990年 / 58卷 / 04期

关键词：

Subject classifications: AMS(MOS): 65F15; CR:; G1.3;

D O I：

10.1007/BF01385629

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper concerns the convergence properties of the shifted QR algorithm on 3×3 normal, Hessenberg matrices. The algorithm is viewed as an iteration on one dimensional subspaces. A class of matrices is characterized for which HQR2 is unable to approximate a solution. © 1990 Springer-Verlag.

引用

页码：341 / 352

页数：12

共 11 条

[1]

BATTERSON S, 1990, MATH COMPUT, V55, P169, DOI 10.1090/S0025-5718-1990-1023041-4

[2] QR TRANSFORMATION - A UNITARY ANALOG TO LR TRANSFORMATION .1. [J].