On the convergence of the sequence of solutions for a family of eigenvalue problems
Sign Up to like & getrecommendations! Published in 2017 at "Mathematical Methods in The Applied Sciences"
DOI: 10.1002/mma.4502
Abstract: The asymptotic behavior of the sequence {un} of positive first eigenfunctions for a class of eigenvalue problems is studied in a bounded domain Ω⊂RN with smooth boundary ∂Ω. We prove un→‖δ‖L2(Ω)−1δ, where δ is the… read more here.
Keywords: family eigenvalue; solutions family; sequence solutions; eigenvalue problems ... See more keywords
From homogeneous eigenvalue problems to two-sex population dynamics
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Mathematical Biology"
DOI: 10.1007/s00285-017-1114-9
Abstract: Enclosure theorems are derived for homogeneous bounded order-preserving operators and illustrated for operators involving pair-formation functions introduced by Karl-Peter Hadeler in the late 1980s. They are applied to a basic discrete-time two-sex population model and… read more here.
Keywords: homogeneous eigenvalue; eigenvalue problems; sex population; two sex ... See more keywords
Neural network approach for solving nonlinear eigenvalue problems of structural dynamics
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DOI: 10.1007/s00521-019-04600-3
Abstract: This article introduces a novel connectionist approach for dynamic analysis of structural problem. In general, dynamic analysis of structures leads to eigenvalue problems. Sometimes these eigenvalue problems may be nonlinear eigenvalue problem, which may be… read more here.
Keywords: nonlinear eigenvalue; neural network; eigenvalue problems; approach ... See more keywords
Convergence Theory for Preconditioned Eigenvalue Solvers in a Nutshell
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DOI: 10.1007/s10208-015-9297-1
Abstract: Preconditioned iterative methods for numerical solution of large matrix eigenvalue problems are increasingly gaining importance in various application areas, ranging from material sciences to data mining. Some of them, e.g., those using multilevel preconditioning for… read more here.
Keywords: theory; preconditioned eigenvalue; convergence theory; eigenvalue problems ... See more keywords
A Penalized Crouzeix–Raviart Element Method for Second Order Elliptic Eigenvalue Problems
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DOI: 10.1007/s10915-017-0505-9
Abstract: In this paper we propose a penalized Crouzeix–Raviart element method for eigenvalue problems of second order elliptic operators. The key idea is to add a penalty term to tune the local approximation property and the… read more here.
Keywords: crouzeix raviart; raviart element; second order; element method ... See more keywords
A novel method to compute all eigenvalues of the polynomial eigenvalue problems in an open half plane
Sign Up to like & getrecommendations! Published in 2019 at "Computational and Applied Mathematics"
DOI: 10.1007/s40314-019-0778-8
Abstract: In this paper, we introduce the linear fractional mapping and the contour integral method. Based on them, we develop a new numerical method to find all eigenvalues of the polynomial eigenvalue problems in an open… read more here.
Keywords: polynomial eigenvalue; eigenvalues polynomial; problems open; open half ... See more keywords
A Rayleigh quotient method for criticality eigenvalue problems in neutron transport
Sign Up to like & getrecommendations! Published in 2020 at "Annals of Nuclear Energy"
DOI: 10.1016/j.anucene.2019.107120
Abstract: Abstract The alpha- and k-effective eigenproblems describe the criticality and fundamental neutron flux mode of a nuclear system. Traditionally, the alpha-eigenvalue problem has been solved using methods that focus on supercritical systems with large, positive… read more here.
Keywords: quotient method; eigenvalue problems; criticality; neutron transport ... See more keywords
An a posteriori error estimator based on shifts for positive hermitian eigenvalue problems
Sign Up to like & getrecommendations! Published in 2018 at "Comptes Rendus Mathematique"
DOI: 10.1016/j.crma.2018.04.017
Abstract: This work deals with an a posteriori error estimator for hermitian positive eigenvalue problems. The proposed estimator is based on the residual and the definition of suitable shifts in the matrix spectrum. The mathematical properties… read more here.
Keywords: estimator; estimator based; eigenvalue problems; error estimator ... See more keywords
A quadratically convergent algorithm based on matrix equations for inverse eigenvalue problems
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DOI: 10.1016/j.laa.2017.05.019
Abstract: Abstract We propose a quadratically convergent algorithm for inverse symmetric eigenvalue problems based on matrix equations. The basic idea is seen in a recent study by Ogita and Aishima, while they derive an efficient iterative… read more here.
Keywords: quadratically convergent; based matrix; inverse eigenvalue; eigenvalue problems ... See more keywords
Pseudo-spectra theory of tensors and tensor polynomial eigenvalue problems
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DOI: 10.1016/j.laa.2017.07.026
Abstract: Abstract This paper is devoted to the extension of the ϵ -pseudo-spectra theory from matrices to tensors. Based on the definition of an eigenpair of real symmetric tensors and results on the ϵ -pseudo-spectrum of… read more here.
Keywords: pseudo spectrum; tensor polynomial; eigenvalue problems; pseudo spectra ... See more keywords
Inverse eigenvalue problems for a damped Stieltjes string with mixed data
Sign Up to like & getrecommendations! Published in 2020 at "Linear Algebra and its Applications"
DOI: 10.1016/j.laa.2020.04.023
Abstract: Abstract In this paper, we consider the inverse eigenvalue problem for a Stieltjes string subject to the Robin condition at the left end and a damping condition at the right end with mixed data, which… read more here.
Keywords: inverse eigenvalue; stieltjes string; mixed data; eigenvalue problems ... See more keywords