Two non-parameter iterative algorithms for identifying strong H-tensors

摘要

The strong H-tensors have important applications in many areas of science and engineering, e.g., the determination of positive definiteness for an even-order homogeneous polynomial form in the real field. In this paper, we propose two iterative algorithms with non-parameter for identifying strong H-tensors, which overcome the drawback of choosing the best value of parameter ? in some existing algorithms given by Li et al. and Liu et al. (J. Comput. Appl. Math., 255, 1-14, 2014 and Comput. Appl. Math. 36, 1623-1635, 2017). Some numerical experiments are performed to illustrate the feasibility and effectiveness of our algorithms.