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On odd powers of nonnegative polynomials that are not sums of squares
We initiate a systematic study of nonnegative polynomials P such that $P^k$ is not a sum of squares for any odd $k\geq 1$ , calling such P stubborn. We develop a new invariant of a real isolated zero of a nonnegative polynomial in the plane,
Grigoriy Blekherman +2 more
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On Complex Matrix-Variate Dirichlet Averages and Its Applications in Various Sub-Domains. [PDF]
Thankamani P, Sebastian N, Haubold HJ.
europepmc +1 more source
Monotonicity of the number of positive entries in nonnegative matrix powers. [PDF]
Xie Q.
europepmc +1 more source
The higher rank numerical range of nonnegative matrices
Aretaki Aikaterini, Maroulas Ioannis
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On a nonnegative irreducible matrix that is similar to a positive matrix
Loewy Raphael
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Inertias and ranks of some Hermitian matrix functions with applications
Zhang Xiang, Wang Qing-Wen, Liu Xin
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Necessary and Sufficient Conditions for Rank-One-Generated Cones
Mathematics of Operations Research, 2023C J argue +2 more
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Optimizing and Factorizing the Wilson Matrix
American Mathematical Monthly, 2022Nicholas J Higham, Matthew C Lettington
exaly
Binary Component Decomposition Part I: The Positive-Semidefinite Case
SIAM Journal on Mathematics of Data Science, 2021Richard Kueng, Joel A Tropp
exaly

