Results 41 to 50 of about 137,710 (307)
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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Successive eigenvalue relaxation: a new method for the generalized eigenvalue problem and convergence estimates [PDF]
, 2001 We present a new subspace iteration method for the efficient computation of several smallest eigenvalues of the generalized eigenvalue problem Au = lambda Bu for symmetric positive definite operators A and B.
Xanthis, L., Ovtchinnikov, E.
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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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How to derive priorities in AHP: a comparative study [PDF]
, 2006 Multi-criteria decision making, Simulation, AHP, Eigenvalue, Geometric mean,
Markus Lusti +3 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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FEBS Letters, EarlyView.Vacuolar H+‐ATPase (V‐ATPase) is a multisubunit rotary proton pump that acidifies intracellular compartments. Using elastic network models, we identified conserved hinge residues that govern its large‐scale functional motions. We show that intrinsically encoded ‘soft modes’ drive critical functional transitions, including rotary catalysis and ...
Diksha Parwana +3 more
wiley +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
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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)
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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
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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
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