Results 21 to 30 of about 49 (49)

The integer cp-rank of 2 × 2 matrices

Special Matrices, 2019
We show the cp-rank of an integer doubly nonnegative 2 × 2 matrix does not exceed 11.
Laffey Thomas, Šmigoc Helena
doaj   +1 more source

Matrices having a positive determinant and all other minors nonpositive

Special Matrices
The class of square matrices of order nn having a positive determinant and all their minors up to order n−1n-1 nonpositive is considered. A characterization of these matrices based on the Cauchon algorithm is presented, which provides an easy test for ...
Hassuneh Imad, Adm Mohammad, Garloff Jürgen   +2 more
doaj   +1 more source

Refined inertias of positive and hollow positive patterns

Special Matrices
We investigate refined inertias of positive patterns and patterns that have each off-diagonal entry positive and each diagonal entry zero, i.e., hollow positive patterns. For positive patterns, we prove that every refined inertia (n+,n−,nz,2np)\left({n}_{
Berliner Adam H., Catral Minerva, Olesky D. D., van den Driessche P.   +3 more
doaj   +1 more source

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

Forum 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, Khazhgali Kozhasov, Bruce Reznick   +2 more
doaj   +1 more source

On Complex Matrix-Variate Dirichlet Averages and Its Applications in Various Sub-Domains. [PDF]

Entropy (Basel), 2023
Thankamani P, Sebastian N, Haubold HJ.
europepmc   +1 more source

Monotonicity of the number of positive entries in nonnegative matrix powers. [PDF]

J Inequal Appl, 2018
Xie Q.
europepmc   +1 more source

The higher rank numerical range of nonnegative matrices

Open Mathematics, 2013
Aretaki Aikaterini, Maroulas Ioannis
doaj   +1 more source

On a nonnegative irreducible matrix that is similar to a positive matrix

Open Mathematics, 2012
Loewy Raphael
doaj   +1 more source

Inertias and ranks of some Hermitian matrix functions with applications

Open Mathematics, 2012
Zhang Xiang, Wang Qing-Wen, Liu Xin
doaj   +1 more source

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Optimizing and Factorizing the Wilson Matrix

American Mathematical Monthly, 2022
Nicholas Higham, Matthew Lettington
exaly