Search Results - Numerical solution of nonlinear eigenvalue and eigenvector problems

Nonlinear Eigenvector Methods for Convex Minimization over the Numerical Range by Lu, Ding

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Numerical Analysis of Nonlinear Eigenvalue Problems by Cancès, Eric, Chakir, Rachida, Maday, Yvon

“…We provide a priori error estimates for variational approximations of the ground state energy, eigenvalue and eigenvector of nonlinear elliptic eigenvalue problems of the form −div( A ∇ u )+ Vu + f ( u 2 ) u = λ u…”
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Perturbation theory of nonlinear, non-self-adjoint eigenvalue problems: Simple eigenvalues by Mensah, Georg A., Orchini, Alessandro, Moeck, Jonas P.

“… The operators governing the eigenproblem are, in general, nonlinear in the eigenvalue and non-self-adjoint, which makes the repeated solution of the eigenvalue problem…”
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Perturbation analysis of an eigenvector-dependent nonlinear eigenvalue problem with applications by Cai, Yunfeng, Jia, Zhigang, Bai, Zheng-Jian

“… In this paper, we perform a perturbation analysis for the eigenvector-dependent nonlinear eigenvalue problem, which gives upper bounds for the distance between the solution to the original nonlinear…”
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Linearizable Eigenvector Nonlinearities by Claes, Rob, Jarlebring, Elias, Meerbergen, Karl, Upadhyaya, Parikshit

“…We present a method to linearize, without approximation, a specific class of eigenvalue problems with eigenvector nonlinearities (NEPv…”
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The Infinity Laplacian Eigenvalue Problem: Reformulation and a Numerical Scheme by Bozorgnia, Farid, Bungert, Leon, Tenbrinck, Daniel

“… We prove that our method converges (up to a subsequence) to a viscosity solution of the eigenvalue problem, and perform numerical experiments which investigate…”
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An Inverse Iteration Method for Eigenvalue Problems with Eigenvector Nonlinearities by Jarlebring, Elias, Kvaal, Simen, Michiels, Wim

“…) is an eigenpair of the matrix A(v) and we propose a generalization of inverse iteration for eigenvalue problems with this type of eigenvector nonlinearity…”
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Multigrid Method for Nonlinear Eigenvalue Problems Based on Newton Iteration by Xu, Fei, Xie, Manting, Yue, Meiling

“…In this paper, a novel multigrid method based on Newton iteration is proposed to solve nonlinear eigenvalue problems…”
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Legendre-Fourier spectral approximation and error analysis for nonlinear eigenvalue problems in complex domains by Zheng, Jihui, An, Jing

“…In this paper, we develop and analyze an efficient Legendre-Fourier spectral approximation for solving nonlinear eigenvalue problems in complex domains…”
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An Ulm-like algorithm for generalized inverse eigenvalue problems by Luo, Yusong, Shen, Weiping

“…In this paper, we study the numerical solutions of the generalized inverse eigenvalue problem (for short, GIEP). Motivated…”
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Nonlinear eigenvalue problem in the integral transforms solution of convection-diffusion with nonlinear boundary conditions by Cotta, Renato M, Naveira-Cotta, Carolina Palma, Knupp, Diego C

“…) to the solution of convection-diffusion problems with nonlinear boundary conditions by employing the corresponding nonlinear eigenvalue problem in the construction of the expansion basis…”
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Positive eigenvector of nonlinear eigenvalue problem with a singular M-matrix and Newton-SOR iterative solution by Zhang, Cheng-yi, Song, Yao-yan, Luo, Shuanghua

“…Some sufficient conditions are proposed in this paper such that the nonlinear eigenvalue problem with an irreducible singular M -matrix has a unique positive eigenvector…”
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The subspace iteration method for nonlinear eigenvalue problems occurring in the dynamics of structures with viscoelastic elements by Łasecka-Plura, Magdalena, Lewandowski, Roman

“…•The subspace iteration method is used to solve nonlinear eigenvalue problem.•The continuation method is used to solve the nonlinear Hermitian eigenproblem…”
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On the existence of infinitely many nonperturbative solutions in a transmission eigenvalue problem for nonlinear Helmholtz equation with polynomial nonlinearity by Valovik, D.V.

“…•An original analytic approach is used to study the problem. The paper focuses on a transmission eigenvalue problem for nonlinear Helmholtz equation with polynomial…”
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The Principal Eigenvalue of Cooperative Systems With Applications to a Model of Nonlinear Boundary Conditions by Suriguga, Wu, Jianhua, Zhang, Lei

“…ABSTRACT In this paper, we study the eigenvalue problem for cooperative systems where the eigenvalue parameter appears on both the equation and the boundary…”
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Nonlinear eigenvalue problem approach for mass transfer in supported liquid membrane co-transport separation processes by Pontes, P. C., Oliveira, K. B., Macêdo, E. N., Quaresma, J. N. N., Naveira-Cotta, C. P., Cotta, R. M.

“…A nonlinear eigenvalue problem approach has been recently reported as a novel strategy to enhance the computational performance of hybrid numerical-analytical solutions obtained by the generalized…”
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Method of Y-Mappings for Study of Multiparameter Nonlinear Eigenvalue Problems by Smirnov, Yu. G.

“…For the study of nonlinear multiparameter eigenvalue problems, a method of Y -mappings, making it possible to prove the existence of solutions, is proposed…”
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Solving second-order nonlinear boundary value problem with nonlinear boundary conditions by an iterative method by Liu, Chein-Shan, Chang, Jiang-Ren

“…Purpose The purpose of this paper is to solve the second-order nonlinear boundary value problem with nonlinear boundary conditions by an iterative numerical method…”
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A multigrid method for the ground state solution of Bose–Einstein condensates based on Newton iteration by Xu, Fei, Xie, Hehu, Xie, Manting, Yue, Meiling

“…–Einstein condensates based on Newton iteration scheme. Instead of treating eigenvalue λ and eigenvector u separately, we regard the eigenpair ( λ , u…”
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Computational Methods and Applications for Numerical Analysis

“…, structure and topology optimization, fractional equations, eigenvalue problems, inverse problems, etc. Numerical analysis is an increasingly…”
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