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On odd powers of nonnegative polynomials that are not sums of squares

open access: yesForum of Mathematics, Sigma
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
doaj   +1 more source

The higher rank numerical range of nonnegative matrices

open access: yesOpen Mathematics, 2013
Aretaki Aikaterini, Maroulas Ioannis
doaj   +1 more source

Inertias and ranks of some Hermitian matrix functions with applications

open access: yesOpen Mathematics, 2012
Zhang Xiang, Wang Qing-Wen, Liu Xin
doaj   +1 more source
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Necessary and Sufficient Conditions for Rank-One-Generated Cones

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Embeddability of real and positive operators

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Optimizing and Factorizing the Wilson Matrix

American Mathematical Monthly, 2022
Nicholas J Higham, Matthew C Lettington
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Binary Component Decomposition Part I: The Positive-Semidefinite Case

SIAM Journal on Mathematics of Data Science, 2021
Richard Kueng, Joel A Tropp
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