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Eigenvalue inclusion sets for linear response eigenvalue problems
Demonstratio Mathematica, 2022 In this article, some inclusion sets for eigenvalues of a matrix in the linear response eigenvalue problem (LREP) are established. It is proved that the inclusion sets are tighter than the Geršgorin-type sets.
He Jun, Liu Yanmin, Lv Wei
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Structured Eigenvalue Problems [PDF]
GAMM-Mitteilungen, 2006 AbstractMost eigenvalue problems arising in practice are known to be structured. Structure is often introduced by discretization and linearization techniques but may also be a consequence of properties induced by the original problem. Preserving this structure can help preserve physically relevant symmetries in the eigenvalues of the matrix and may ...
Fassbender, Heike, Kressner, Daniel
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Pareto Z-eigenvalue inclusion theorems for tensor eigenvalue complementarity problems
Journal of Inequalities and Applications, 2022 This paper presents some sharp Pareto Z-eigenvalue inclusion intervals and discusses the relationships among different Pareto Z-eigenvalue inclusion intervals for tensor eigenvalue complementarity problems.
Ping Yang +3 more
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Generalized eigenvalue problems with specified eigenvalues [PDF]
IMA Journal of Numerical Analysis, 2013 We consider the distance from a (square or rectangular) matrix pencil to the nearest matrix pencil in 2-norm that has a set of specified eigenvalues. We derive a singular value optimization characterization for this problem and illustrate its usefulness for two applications.
D. Kressner +3 more
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Nonlinear Eigenvalue Problems with Specified Eigenvalues [PDF]
SIAM Journal on Matrix Analysis and Applications, 2014 This work considers eigenvalue problems that are nonlinear in the eigenvalue parameter. Given such a nonlinear eigenvalue problem $T$, we are concerned with finding the minimal backward error such that $T$ has a set of prescribed eigenvalues with prescribed algebraic multiplicities.
Michael Karow +2 more
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Stability of Heterogeneous Beams with Three Supports—Solutions Using Integral Equations
Applied Mechanics, 2023 It is our main objective to find the critical load for three beams with cross sectional heterogeneity. Each beam has three supports, of which the intermediate one is a spring support.
László Kiss +2 more
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Quadratic Eigenvalue Problems [PDF]
Mathematische Nachrichten, 1995 We consider the quadratic eigenvalue problem \[ (\mu^2 R+\mu S+T) y= 0\tag{1} \] with selfadjoint operators \(R\), \(S\) and \(T\) in the Hilbert space \({\mathcal G}\). The operator \(S\) is supposed to be ``large'' with respect to the operators \(R\) and \(T\). For simplicity we assume that \(R\) and \(T\) have bounded inverses. If, additionally, \(S\
Ćurgus, Branko, Najman, Branko
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Quaternionic eigenvalue problem [PDF]
Journal of Mathematical Physics, 2002 We discuss the (right) eigenvalue equation for ℍ, ℂ and ↛ linear quaternionic operators. The possibility to introduce an isomorphism between these operators and real/complex matrices allows us to translate the quaternionic problem into an equivalent real or complex counterpart. Interesting applications are found in solving differential equations within
DE LEO S, SCOLARICI G, SOLOMBRINO, Luigi
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Fractional eigenvalue problems on $\mathbb{R}^N$
Electronic Journal of Qualitative Theory of Differential Equations, 2020 Let $N\geq 2$ be an integer. For each real number $s\in(0,1)$ we denote by $(-\Delta)^s$ the corresponding fractional Laplace operator. First, we investigate the eigenvalue problem $(-\Delta)^s u=\lambda V(x)u$ on $\mathbb{R}^N$, where $V:\mathbb{R}^N ...
Andrei Grecu
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Fractional Sturm–Liouville Eigenvalue Problems, II
Fractal and Fractional, 2022 We continue the study of a non-self-adjoint fractional three-term Sturm–Liouville boundary value problem (with a potential term) formed by the composition of a left Caputo and left Riemann–Liouville fractional integral under Dirichlet type boundary ...
Mohammad Dehghan, Angelo B. Mingarelli
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