计算张量特征对的瑞利商迭代法

• 作者: 梁浩 张向韵
• 来源期刊: 高等学校计算数学学报
• 学科: 数学
• 年，卷（期）: 2021,（3）
• 页码范围: 292-306
• 页数: 15页
• 分类号: O241.6
• 语种: 中文

摘要

In this paper,we propose a Rayleigh quotient iteration method (RQI)to calculate the Z-eigenpairs of the symmetric tensor,which can be viewed as a generalization of shifted symmetric higher-order power method (SS-HOPM).The convergence analysis and the fixed-point analysis of this algorithm are given.Nu-merical examples show that RQI needs fewer iterations than SS-HOPM while keep the amount of computation per iteration.