Zobrazeno 1 - 10
of 157
pro vyhledávání: '"primary 15a18"'
Autor:
Fan, Yi-Zheng
Hu and Ye conjectured that for a $k$-th order and $n$-dimensional tensor $\mathcal{A}$ with an eigenvalue $\lambda$ and the corresponding eigenvariety $\mathcal{V}_\lambda(\mathcal{A})$, $$\mathrm{am}(\lambda) \ge \sum_{i=1}^\kappa \mathrm{dim}(V_i)(
Externí odkaz:
http://arxiv.org/abs/2410.20830
The nonnegative inverse eigenvalue problem (NIEP) is shown to be solvable by the reality condition, spectrum equal to its conjugate, as well as by a finite union and intersection of polynomial inequalities. It is also shown that the symmetric NIEP an
Externí odkaz:
http://arxiv.org/abs/2407.14472
Autor:
Novaković, Vedran
An enhanced Kogbetliantz method for the singular value decomposition (SVD) of general matrices of order two is proposed. The method consists of three phases: an almost exact prescaling, that can be beneficial to the LAPACK's xLASV2 routine for the SV
Externí odkaz:
http://arxiv.org/abs/2407.13116
Autor:
Kozyakin, Victor
Recently, J. Bochi and P. Laskawiec constructed an example of a set of matrices $\{A,B\}$ having two different (up to cyclic permutations of factors) spectrum maximizing products, $AABABB$ and $BBABAA$. In this paper, we identify a class of matrix se
Externí odkaz:
http://arxiv.org/abs/2407.10513
We consider bounds on maximum nullity of a graph via transversal numbers of compatible collections of forts. Results include generalizations of theorems from symmetric to combinatorially symmetric matrices, special bases of matrix nullspaces derived
Externí odkaz:
http://arxiv.org/abs/2407.03492
Autor:
Malvetti, Emanuel, Van Damme, Léo
Closed bipartite quantum systems subject to fast local unitary control are studied using quantum optimal control theory and a method of reduced control systems based on the Schmidt decomposition. Particular focus is given to the time-optimal generati
Externí odkaz:
http://arxiv.org/abs/2405.20034
Autor:
Dörnemann, Nina, Paul, Debashis
In this paper, the key objects of interest are the sequential covariance matrices $\mathbf{S}_{n,t}$ and their largest eigenvalues. Here, the matrix $\mathbf{S}_{n,t}$ is computed as the empirical covariance associated with observations $\{\mathbf{x}
Externí odkaz:
http://arxiv.org/abs/2404.19176
Autor:
Malvetti, Emanuel
We study a single Markovian qubit governed by a Lindblad master equation and subject to fast unitary control. Using reduced control systems and optimal control theory we determine (i) controls for cooling and heating such systems in a time-optimal wa
Externí odkaz:
http://arxiv.org/abs/2404.09279
Autor:
Britnell, John R., Wildon, Mark
Let $Q$ be a probability measure on a finite group $G$, and let $H$ be a subgroup of $G$. We show that a necessary and sufficient condition for the random walk driven by $Q$ on $G$ to induce a Markov chain on the double coset space $H\backslash G/H$,
Externí odkaz:
http://arxiv.org/abs/2311.02723
Compared to the entrywise transforms which preserve positive semidefiniteness, those leaving invariant the inertia of symmetric matrices reveal a surprising rigidity. We first obtain the classification of negativity preservers by combining recent adv
Externí odkaz:
http://arxiv.org/abs/2310.18041