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- W2988391118 abstract "Identifying the positive definiteness of an even-degree homogeneous polynomial form arises in various applications, such as evolutionary game dynamics, automatical control, magnetic resonance imaging, and spectral hypergraph theory. However, it is difficult to determine whether a given homogeneous polynomial is positive definite or not because the problem is NP-hard. In this paper, an iterative algorithm of identifying the positive definiteness of irreducible homogeneous polynomial forms is proposed by identifying strong H-tensors with weakly irreducibility. The validity of the iterative algorithm is proved theoretically. Experimental results on multilinear systems, high-order Markov chains and symmetric multi-player games are presented to illustrate the applications of the proposed methods." @default.
- W2988391118 created "2019-11-22" @default.
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- W2988391118 date "2020-05-01" @default.
- W2988391118 modified "2023-10-14" @default.
- W2988391118 title "An iterative algorithm based on strong H-tensors for identifying positive definiteness of irreducible homogeneous polynomial forms" @default.
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- W2988391118 doi "https://doi.org/10.1016/j.cam.2019.112581" @default.
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