The dominant eigenvalue of an essentially nonnegative tensor
نویسندگان
چکیده
منابع مشابه
The dominant eigenvalue of an essentially nonnegative tensor
It is well known that the dominant eigenvalue of a real essentially nonnegative matrix is a convex function of its diagonal entries. This convexity is of practical importance in population biology, graph theory, demography, analytic hierarchy process, and so on. In this paper, the concept of essentially nonnegativity is extended frommatrices to higher-order tensors, and the convexity and log co...
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Finding the maximum eigenvalue of a tensor is an important topic in tensor computation and multilinear algebra. Recently, for a tensor with nonnegative entries (which we refer it as a nonnegative tensor), efficient numerical schemes have been proposed to calculate its maximum eigenvalue based on a Perron–Frobenius-type theorem. In this paper, we consider a new class of tensors called essentiall...
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ژورنال
عنوان ژورنال: Numerical Linear Algebra with Applications
سال: 2013
ISSN: 1070-5325
DOI: 10.1002/nla.1880