Structured low rank decomposition of multivariate Hankel matrices
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DOI: 10.1016/j.laa.2017.04.015
Abstract: Abstract We present a new algorithm for the decomposition of a multivariate Hankel matrix H σ as a sum of Hankel matrices of small rank. This decomposition corresponds to the decomposition of its symbol σ… read more here.
Keywords: multivariate hankel; multivariate; decomposition multivariate; hankel matrices ... See more keywords
Determinants of block Hankel matrices for random matrix-valued measures
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DOI: 10.1016/j.spa.2019.02.010
Abstract: Abstract We consider the moment space M 2 n + 1 d n of moments up to the order 2 n + 1 of d n × d n real matrix measures defined on the… read more here.
Keywords: matrix valued; random matrix; hankel matrices; determinants block ... See more keywords
On New Arithmetic Properties of Determinants of Hankel Matrices
Sign Up to like & getrecommendations! Published in 2018 at "Doklady Mathematics"
DOI: 10.1134/s1064562418050216
Abstract: We construct an infinite-dimensional Hankel matrix H∞ with elements of the form m/2l, where m, l ∈ ℤ, with the following property: the divisors of the numerators of its principal minors contain all prime numbers. read more here.
Keywords: arithmetic properties; new arithmetic; properties determinants; hankel matrices ... See more keywords