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Some fundamental problems in global Finsler geometry [PDF]
AUT Journal of Mathematics and Computing, 2021 The geometry and analysis on Finsler manifolds is a very important part of Finsler geometry. In this survey article, we introduce some important and fundamental topics in global Finsler geometry and discuss the related properties and the relationships in
Xinyue Cheng
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Multiscaled Cross-Correlation Dynamics in Financial Time-Series [PDF]
, 2008 The cross correlation matrix between equities comprises multiple interactions between traders with varying strategies and time horizons. In this paper, we use the Maximum Overlap Discrete Wavelet Transform to calculate correlation matrices over different
Borghesi C. +8 more
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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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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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Annales Universitatis Paedagogicae Cracoviensis: Studia Mathematica, 2016 We consider the eigenvalue problem for the p(x)-Laplace - Beltrami operator on the unit sphere. We prove an integro - differential inequality related to the smallest positive eigenvalue of this problem.
Damian Wiśniewski, Mariusz Bodzioch
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Exact eigenvalue assignment of linear scalar systems with single delay using Lambert W function
, 2018 Eigenvalue assignment problem of a linear scalar system with a single discrete delay is analytically and exactly solved. The existence condition of the desired eigenvalue is established when the current and delay states are present in the feedback loop ...
Huang, Huang-Nan, Yong, Chew Chun
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A non-Hermitian $PT-$symmetric Bose-Hubbard model: eigenvalue rings from unfolding higher-order exceptional points [PDF]
, 2008 We study a non-Hermitian $PT-$symmetric generalization of an $N$-particle, two-mode Bose-Hubbard system, modeling for example a Bose-Einstein condensate in a double well potential coupled to a continuum via a sink in one of the wells and a source in the ...
Graefe, E. M. +3 more
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, 2011 This article is devoted to computing the lower and upper bounds of the Laplace eigenvalue problem. By using the special nonconforming finite elements, i.e., enriched Crouzeix-Raviart element and extension $Q_1^{\rm rot}$, we get the lower bound of the ...
C. Yao +25 more
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Guaranteed Eigenvalue Bounds for the Steklov Eigenvalue Problem [PDF]
SIAM Journal on Numerical Analysis, 2019 To provide mathematically rigorous eigenvalue bounds for the Steklov eigenvalue problem, an enhanced version of the eigenvalue estimation algorithm developed by the third author is proposed, which removes the requirements of the positive definiteness of bilinear forms in the formulation of eigenvalue problems.
Chun'guang You, Hehu Xie, Xuefeng Liu
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Numerical construction of structured matrices with given eigenvalues
Special Matrices, 2019 We consider a structured inverse eigenvalue problem in which the eigenvalues of a real symmetric matrix are specified and selected entries may be constrained to take specific numerical values or to be nonzero.
Sutton Brian D.
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