计算张量特征对的瑞利商迭代法（英文）

作者：梁浩; 张向韵

来源：高等学校计算数学学报, 2021, 43(03): 292-306.

• tensor eigenvalues
• symmetric tensor
• Rayleigh quotient iteration(RQI)
• SS-HOPM

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.Numerical examples show that RQI needs fewer iterations than SS-HOPM while keep the amount of computation per iteration.

• 单位
  华东师范大学