2021
DOI: 10.48550/arxiv.2112.15588
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Computing the dominant eigenpair of an essentially nonnegative tensor via a homotopy method

Abstract: The theory of eigenvalues and eigenvectors is one of the fundamental and essential components in tensor analysis. Computing the dominant eigenpair of an essentially nonnegative tensor is an important topic in tensor computation because of the critical applications in network resource allocations. In this paper, we consider the aforementioned topic and there are two main contributions. First, we show that an irreducible essentially nonnegative tensor has a unique positive dominant eigenvalue with a unique posit… Show more

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