Results 31 to 40 of about 133,879 (298)
Journal of Statistical Physics, 2015 We prove that the complex conjugate (c.c.) eigenvalues of a smoothly varying real matrix attract (Eq. 15). We offer a dynamical perspective on the motion and interaction of the eigenvalues in the complex plane, derive their governing equations and discuss applications. C.c. pairs closest to the real axis, or those that are ill-conditioned, attract most
openaire +5 more sources
Structured Distance to Normality of Dirichlet–Neumann Tridiagonal Toeplitz Matrices
AxiomsThis paper conducts a rigorous study on the spectral properties and operator-space distances of perturbed Dirichlet–Neumann tridiagonal (PDNT) Toeplitz matrices, with emphasis on their asymptotic behaviors. We establish explicit closed-form solutions for
Zhaolin Jiang +3 more
doaj +1 more source
The Topological Entropy Conjecture
Mathematics, 2021 For a compact Hausdorff space X, let J be the ordered set associated with the set of all finite open covers of X such that there exists nJ, where nJ is the dimension of X associated with ∂. Therefore, we have Hˇp(X;Z), where 0≤p≤n=nJ.
Lvlin Luo
doaj +1 more source
Speed Controlof Induction Motor with Its Parameter Different from Nominal Value [PDF]
Warasan Witthayasat Lae Theknoloyi Mahawitthayalai Mahasarakham, 2019 This paper compares the performance of speed responsesgiven by the direct vector control system of an induction motor. The four PI controllers are incorporated in such a control system with eight state-variables.
Wirote Sangtungtong
doaj
Eigenvalue-based test statistics.
, 2018 Eigenvalue-based test statistics.
Carolina Fortuna (5439512) +2 more
core +1 more source
A New Family of Chaotic Systems with Different Closed Curve Equilibrium
Mathematics, 2019 Chaotic systems with hidden attractors, infinite number of equilibrium points and different closed curve equilibrium have received much attention in the past six years.
Xinhe Zhu, Wei-Shih Du
doaj +1 more source
On the eigenvalues and Seidel eigenvalues of chain graphs
Discrete Applied MathematicsIn this paper we consider the eigenvalues and the Seidel eigenvalues of a chain graph. An$\dbar$elić, da Fonseca, Simić, and Du \cite{andelic2020tridiagonal} conjectured that there do not exist non-isomorphic cospectral chain graphs with respect to the adjacency spectrum. Here we disprove this conjecture.
Zhuang Xiong, Yaoping Hou
openaire +2 more sources
On eigenvalues and main eigenvalues of a graph [PDF]
Mathematica Moravica, 2000 Given the eigenvalues of a graph \(G\) on \(n\) vertices, for the \(i\)th eigenvalue of (a) the complement \(\overline G\) of \(G\), (b) the Seidel matrix of \(G\), and (c) a graph switching equivalent to \(G\), an interval containing this eigenvalue is determined. In addition, it is proved that the sum of all main eigenvalues of \(G\) (\(k\) in number)
openaire +2 more sources
A linear eigenvalue algorithm for the nonlinear eigenvalue problem [PDF]
Numerische Mathematik, 2012 A nonlinear matrix eigenvalue problem (NMEP) \(T(\lambda)x=0\) is transformed without loss of generality into a standard form \(\lambda B(\lambda)x=x\) (\(T\) and \(B\) analytic in \(\Omega\subset\mathbb{C}\)). This is then transformed into a linear operator eigenvalue problem (LOEP) of the form \(\lambda\mathcal{B}\varphi=\varphi\) (\(\varphi\in C_ ...
Elias Jarlebring +2 more
openaire +1 more source
Fractional eigenvalue problems that approximate Steklov eigenvalue problems [PDF]
, 2017 In this paper we analyse possible extensions of the classical Steklov eigenvalue problem to the fractional setting. In particular, we find a non-local eigenvalue problem of fractional type that approximates, when taking a suitable limit, the classical ...
Leandro M. Del Pezzo +5 more
core +1 more source