RAYLEIGH QUOTIENT ITERATION FOR COMPUTING TENSOR EIGENPAIRS

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.