Efficient algorithms for computing the largest eigenvalue of a nonnegative tensor |
| |
| Authors: | Guanglu ZHOU Liqun QI Soon-Yi WU |
| |
| Affiliation: | 1. Department of Mathematics and Statistics, Curtin University, Perth, Australia; 2. Department of Applied Mathematics, The Hong Kong Polytechnic University, Hong Kong, China; 3. Institute of Applied Mathematics, Cheng-Kung University, Tainan, China |
| |
| Abstract: | Consider the problem of computing the largest eigenvalue for nonnegative tensors. In this paper, we establish the Q-linear convergence of a power type algorithm for this problem under a weak irreducibility condition. Moreover, we present a convergent algorithm for calculating the largest eigenvalue for any nonnegative tensors. |
| |
| Keywords: | Eigenvalue nonnegative tensor power method linear convergence |
| 本文献已被 万方数据 SpringerLink 等数据库收录！ |
| 点击此处可从《Frontiers of Mathematics in China》浏览原始摘要信息 |
|
点击此处可从《Frontiers of Mathematics in China》下载全文 |
