Results 11 to 20 of about 156 (29)
Open Mathematics, 2014 This article is about polynomial maps with a certain symmetry and/or antisymmetry in their Jacobians, and whether the Jacobian Conjecture is satisfied for such maps, or whether it is sufficient to prove the Jacobian Conjecture for such maps.
Bondt Michiel
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A universal gap for non-spin quantum control systems [PDF]
, 2020 We prove the existence of a universal gap for minimum time controllability of finite dimensional quantum systems, except for some basic representations of spin groups.
Gauthier, Jean-Paul, Rossi, Francesco
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Modularity bounds for clusters located by leading eigenvectors of the normalized modularity matrix [PDF]
, 2016 Nodal theorems for generalized modularity matrices ensure that the cluster located by the positive entries of the leading eigenvector of various modularity matrices induces a connected subgraph.
Fasino, Dario, Tudisco, Francesco
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Generalized modularity matrices [PDF]
, 2015 Various modularity matrices appeared in the recent literature on network analysis and algebraic graph theory. Their purpose is to allow writing as quadratic forms certain combinatorial functions appearing in the framework of graph clustering problems. In
D. Fasino +12 more
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Characterizations of Mersenne and 2-rooted primes [PDF]
, 2015 We give several characterizations of Mersenne primes (Theorem 1.1) and of primes for which 2 is a primitive root (Theorem 1.2). These characterizations involve group algebras, circulant matrices, binomial coefficients, and bipartite graphs.Comment: 19 ...
Chebolu, Sunil K. +2 more
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Harmonic reconstruction systems [PDF]
, 2013 This paper considers group reconstruction systems (GRS’s), for finite dimensional real or complex Hilbert spaces H, that are associated with unitary representations of finite abelian groups.
Morillas, Patricia Mariela
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On certain multivariate Vandermonde determinants whose variables separate
, 2014 We prove that for almost square tensor product grids and certain sets of bivariate polynomials the Vandermonde determinant can be factored into a product of univariate Vandermonde determinants. This result generalizes the conjecture [Lemma 1, L.
De Marchi, Stefano, Usevich, Konstantin
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Global product structure for a space of special matrices
, 2017 The importance of the Hurwitz Metzler matrices and the Hurwitz symmetric matrices can be appreciated in different applications: communication networks, biology and economics are some of them. In this paper, we use an approach of differential topology for
Aguirre-Hernández, Baltazar +3 more
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Patterns with several multiple eigenvalues
Special Matrices, 2014 Identified are certain special periodic diagonal matrices that have a predictable number of pairedeigenvalues. Since certain symmetric Toeplitz matrices are special cases, those that have several multiple 5eigenvalues are also investigated further.
Dorsey J., Johnson C.R., Wei Z.
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Variations in the sub-defect of doubly substochastic matrices
Special MatricesThe sub-defect of a doubly stochastic matrix AA, denoted as sd(A)=⌈n−sum(A)⌉sd\left(A)=\lceil n-{\rm{sum}}\left(A)\rceil , is defined as the minimum number of rows and columns required to be added to transform the doubly substochastic matrix into a ...
Cao Lei +2 more
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