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Estrada Index and Laplacian Estrada Index of Random Interdependent Graphs
Mathematics, 2020 Let G be a simple graph of order n. The Estrada index and Laplacian Estrada index of G are defined by E E ( G ) = ∑ i = 1 n e λ i ( A ( G ) ) and L E E ( G ) = ∑ i = 1 n e λ i ( L ( G ) ) , where { λ i
Yilun Shang
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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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Sturm's Theorem for Min matrices
AIMS Mathematics, 2023 In the present paper, we study Min matrix $ \mathcal{A}_{min} = \left[a_{min\left(i, j\right)}\right]_{i, j = 1}^n $, where $ a_s $'s are the elements of a real sequence $ \left\lbrace a_s\right\rbrace $.
Efruz Özlem Mersin
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Greedy algorithms for high-dimensional eigenvalue problems [PDF]
, 2013 In this article, we present two new greedy algorithms for the computation of the lowest eigenvalue (and an associated eigenvector) of a high-dimensional eigenvalue problem, and prove some convergence results for these algorithms and their orthogonalized ...
Cancès, Eric +2 more
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Revisiting the ABC flow dynamo [PDF]
, 2012 The ABC flow is a prototype for fast dynamo action, essential to the origin of magnetic field in large astrophysical objects. Probably the most studied configuration is the classical 1:1:1 flow.
Arnol'd V. +7 more
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Calculus of Variations and Partial Differential Equations, 2013 We study a non-local eigenvalue problem related to the fractional Sobolev spaces for large values of p and derive the limit equation as p goes to infinity. Its viscosity solutions have many interesting properties and the eigenvalues exhibit a strange behaviour.
Lindgren, Erik, Lindqvist, Peter
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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
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Rayleigh quotient with bolzano booster for faster convergence of dominant eigenvalues
IJAIN (International Journal of Advances in Intelligent Informatics), 2022 Computation ranking algorithms are widely used in several informatics fields. One of them is the PageRank algorithm, recognized as the most popular search engine globally.
M Zainal Arifin +3 more
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Optimal Controller and Filter Realisations using Finite-precision, Floating- point Arithmetic. [PDF]
, 2005 The problem of reducing the fragility of digital controllers and filters implemented using finite-precision, floating-point arithmetic is considered.
Chen, Sheng +3 more
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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
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