Results 41 to 50 of about 276,787 (219)
Randi'c incidence energy of graphs [PDF]
Transactions on Combinatorics, 2014 Let $G$ be a simple graph with vertex set $V(G) = {v_1, v_2,ldots , v_n}$ and edge set $E(G) = {e_1, e_2,ldots , e_m}$. Similar to the Randi'c matrix, here we introduce the Randi'c incidence matrix of a graph $G$, denoted by $I_R(G)$, which is defined
Ran Gu, Fei Huang, Xueliang Li
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Stability and Phase Portraits for Simple Dynamical Systems
Civil and Environmental Engineering, 2018 In structural dynamics models of mechanical oscillator and vibration analysis are of great importance. In this article motion of mechanical oscillator is modelled using second order linear autonomous differential systems.
Kúdelčíková Mária, Merčiaková Eva
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Dependence of eigenvalues of 2mth-order spectral problems
Boundary Value Problems, 2017 A regular 2mth-order spectral problem with self-adjoint boundary conditions is considered in this paper. The continuous dependence of eigenvalues and normalized eigenfunctions on the problem is researched.
Zhaowen Zheng, Yujuan Ma
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All Real Eigenvalues of Symmetric Tensors [PDF]
SIAM Journal on Matrix Analysis and Applications, 2014 This paper studies how to compute all real eigenvalues, associated to real eigenvectors, of a symmetric tensor. As is well known, the largest or smallest eigenvalue can be found by solving a polynomial optimization problem, while the other middle ones ...
Chunfeng Cui, Yuhong Dai, Jiawang Nie
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Eigenvalue comparisons in Steklov eigenvalue problem and some other eigenvalue estimates [PDF]
Revista Matemática Complutense, 2019 Comments are welcome. 24 pages.
Feng Du +4 more
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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
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A recursive condition for the symmetric nonnegative inverse eigenvalue problem
Revista Integración, 2017 In this paper we present a sufficient ondition and a necessary condition for Symmetri Nonnegative Inverse Eigenvalue Problem. This condition is independent of the existing realizability criteria.
Elvis Ronald Valero +2 more
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Физика волновых процессов и радиотехнические системы, 2023 The article is devoted to the analysis of electrodynamic properties elliptical frame structure. Taking into account double symmetry internal problem of electrodynamics for the structure under consideration in the framework of the thin-wire approximation ...
Dmitry P. Tabakov, Andrey G. Mayorov
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Diameters and Eigenvalues [PDF]
Journal of the American Mathematical Society, 1989 We derive a new upper bound for the diameter of akk-regular graphGGas a function of the eigenvalues of the adjacency matrix. Namely, suppose the adjacency matrix ofGGhas eigenvaluesλ1,λ2,…,λn{\lambda _1},{\lambda _2}, \ldots ,{\lambda _n}with|λ1|≥|λ2|≥⋯≥|λn|\left | {{\lambda _1}} \right | \geq \left | {{\lambda _2}} \right | \geq \cdots \geq \left | {{\
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Linear Algebra and its Applications, 1982 AbstractWe study the dependence of the eigenvalues of a tridiagonal matrix upon off-diagonal entries. The change in the eigenvalues when a cross-diagonal product approaches zero or infinity is estimated.
William W. Hager, Roger N. Pederson
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