Zobrazeno 1 - 10
of 154
pro vyhledávání: '"Šmigoc, Helena"'
Autor:
Joshi, Priyanka, Šmigoc, Helena
The class of stochastic matrices that have a stochastic $c$-th root for infinitely many natural numbers $c$ is introduced and studied. Such matrices are called arbitrarily finely divisible, and generalise the class of infinitely divisible matrices. I
Externí odkaz:
http://arxiv.org/abs/2409.11125
Publikováno v:
Linear Algebra and its Applications (2024)
A factorization of an $n \times n$ nonnegative symmetric matrix $A$ of the form $BCB^T$, where $C$ is a $k \times k$ symmetric matrix, and both $B$ and $C$ are required to be nonnegative, is called the Symmetric Nonnegative Matrix Trifactorization (S
Externí odkaz:
http://arxiv.org/abs/2308.12399
The region in the complex plane containing the eigenvalues of all stochastic matrices of order n was described by Karpelevic in 1988, and it is since then known as the Karpelevic region. The boundary of the Karpelevic region is the union of disjoint
Externí odkaz:
http://arxiv.org/abs/2306.05039
Autor:
Abiad, Aida, Fallat, Shaun M., Kempton, Mark, Levene, Rupert H., Oblak, Polona, Šmigoc, Helena, Tait, Michael, Meulen, Kevin Vander
An important facet of the inverse eigenvalue problem for graphs is to determine the minimum number of distinct eigenvalues of a particular graph. We resolve this question for the join of a connected graph with a path. We then focus on bordering a mat
Externí odkaz:
http://arxiv.org/abs/2303.07949
The inverse eigenvalue problem of a graph $G$ is the problem of characterizing all lists of eigenvalues of real symmetric matrices whose off-diagonal pattern is prescribed by the adjacencies of $G$. The strong spectral property is a powerful tool in
Externí odkaz:
http://arxiv.org/abs/2302.01670
Autor:
Fallat, Shaun M., Hall, H. Tracy, Levene, Rupert H., Meyer, Seth A., Nasserasr, Shahla, Oblak, Polona, Šmigoc, Helena
If $G$ is a graph and $\mathbf{m}$ is an ordered multiplicity list which is realizable by at least one symmetric matrix with graph $G$, what can we say about the eigenvalues of all such realizing matrices for $\mathbf{m}$? It has sometimes been tempt
Externí odkaz:
http://arxiv.org/abs/2301.11073
Autor:
Fallat, Shaun M., Tracy Hall, H., Levene, Rupert H., Meyer, Seth A., Nasserasr, Shahla, Oblak, Polona, Šmigoc, Helena
Publikováno v:
In Journal of Combinatorial Theory, Series B November 2024 169:161-210
Publikováno v:
In Linear Algebra and Its Applications 15 December 2024 703:463-503
Autor:
Kirkland, Stephen, Šmigoc, Helena
A celebrated result of Karpelevi\v c describes $\Theta_n,$ the collection of all eigenvalues arising from the stochastic matrices of order $n.$ The boundary of $\Theta_n$ consists of roots of certain one-parameter families of polynomials, and those p
Externí odkaz:
http://arxiv.org/abs/2110.01040
Publikováno v:
Linear algebra and its applications, vol. 665 (2023)
The Symmetric Nonnegative Matrix Trifactorization (SN-Trifactorization) is a factorization of an $n \times n$ nonnegative symmetric matrix $A$ of the form $BCB^T$, where $C$ is a $k \times k$ symmetric matrix, and both $B$ and $C$ are required to be
Externí odkaz:
http://arxiv.org/abs/2106.14437