Results 21 to 30 of about 36,154 (311)
The Quadratic Eigenvalue Problem [PDF]
SIAM Review, 2001 The authors review current knowledge of the matrix quadratic eigenvalue problem, \[ (\lambda ^2 M+\lambda C+K)x=0, \qquad y^* (\lambda ^2 M+\lambda C+K)=0, \tag{1} \] including its main applications and its numerical solution, and give an excellent guide to the literature.
Françoise Tisseur, Karl Meerbergen
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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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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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A constrained eigenvalue problem [PDF]
Linear Algebra and its Applications, 1989 For the problem of finding \(Min(x^ TAx)\) for a symmetric matrix A subject to \(x^ Tx=1\) and \(N^ Tx=t\) theoretical and numerical methods are described. First the linear constraint is removed and then Lagrange multipliers are employed reducing the problem to solve either a secular equation or a quadratic eigenvalue problem.
Gander, Walter +2 more
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Sensitivity analysis of waveguide eigenvalue problems [PDF]
Advances in Radio Science, 2011 We analyze the sensitivity of dielectric waveguides with respect to design parameters such as permittivity values or simple geometric dependencies. Based on a discretization using the Finite Integration Technique the eigenvalue problem for the wave ...
N. Burschäpers +3 more
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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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The Hardy potential and eigenvalue problems [PDF]
Opuscula Mathematica, 2011 We establish the existence of principal eigenfunctions for the Laplace operator involving weighted Hardy potentials. We consider the Dirichlet and Neumann boundary conditions.
Jan Chabrowski
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Eigenvalue enclosures and exclosures for non-self-adjoint problems in hydrodynamics [PDF]
, 2010 In this paper we present computer-assisted proofs of a number of results in theoretical fluid dynamics and in quantum mechanics. An algorithm based on interval arithmetic yields provably correct eigenvalue enclosures and exclosures for non-self-adjoint ...
Langer, M. +10 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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Two-parametric nonlinear eigenvalue problems
Electronic Journal of Qualitative Theory of Differential Equations, 2008 Eigenvalue problems of the form $x'' = -\lambda f(x^+) + \mu g(x^-),$ $\quad (i),$ $x(0) = 0, \; x(1) = 0,$ $\quad (ii)$ are considered, where $x^+$ and $x^-$ are the positive and negative parts of $x$ respectively.
Armands Gritsans, Felix Sadyrbaev
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