Results 11 to 20 of about 36,154 (311)
Rectangular eigenvalue problems
Advances in Computational Mathematics, 2022 Often the easiest way to discretize an ordinary or partial differential equation is by a rectangular numerical method, in which n basis functions are sampled at m ≫ n collocation points. We show how eigenvalue problems can be solved in this setting by QR
LN Trefethen (16502511) +6 more
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Quadratic eigenvalue problems. [PDF]
Mathematische Nachrichten, 2007 In this report we will describe some nonlinear eigenvalue problems that arise in the areas of solid mechanics, acoustics, and coupled structural acoustics.
Day, David Minot, Walsh, Timothy Francis
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Eigenvalue and Generalized Eigenvalue Problems: Tutorial
CoRR, 2023 This paper is a tutorial for eigenvalue and generalized eigenvalue problems. We first introduce eigenvalue problem, eigen-decomposition (spectral decomposition), and generalized eigenvalue problem.
Ghojogh, Benyamin +2 more
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Product eigenvalue problems [PDF]
SIAM Review, 2005 . Many eigenvalue problems are most naturally viewed as product eigenvalue problems. The eigenvalues of a matrix A are wanted, but A is not given explicitly. Instead it is presented as a product of several factors: A = AkAk−1 ···A1. Usually more accurate
David S. Watkins
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On the second eigenvalue of nonlinear eigenvalue problems
Electronic Journal of Differential Equations, 2018 This article is devoted to the characterization of the second eigenvalue of nonlinear eigenvalue problems. We propose an abstract approach which allows to treat nonsmooth quasilinear problems and also to recover, in a unified way, previous results ...
Marco Degiovanni, Marco Marzocchi
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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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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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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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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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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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