Results 51 to 60 of about 420,297 (269)
Row stochastic inverse eigenvalue problem
Journal of Inequalities and Applications, 2011 In this paper, we give sufficient conditions or realizability criteria for the existence of a row stochastic matrix with a given spectrum Λ = {λ1, ..., λn} = Λ1 ∪ ⋯ ∪ Λm ∪ Λm+1, m > 0; where (pk ...
Chang-qing Xu, Shang-jun Yang
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Electronic Journal of Qualitative Theory of Differential Equations, 2016 The present paper deals with the spectrum of a fourth order nonlinear eigenvalue problem involving variable exponent conditions and a sign-changing potential.
Qing-Mei Zhou, Ke-Qi Wang
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Advanced Science, EarlyView.Geometry and connectivity are complementary structures, which have demonstrated their ability to represent the brain's functional activity. This study evaluates geometric and connectome eigenmodes as biologically informed constraints for EEG source localization.
Pok Him Siu +6 more
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A double-phase eigenvalue problem with large exponents
Open Mathematics, 2023 In the present article, we consider a double-phase eigenvalue problem with large exponents. Let λ(pn,qn)1{\lambda }_{\left({p}_{n},{q}_{n})}^{1} be the first eigenvalues and un{u}_{n} be the first eigenfunctions, normalized by ‖un‖ℋn=1\Vert {u}_{n}{\Vert
Yu Lujuan
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Numerical Computation of Spectral Solutions for Sturm-Liouville Eigenvalue Problems
International Journal of Analysis and Applications, 2023 This paper focuses on the study of Sturm-Liouville eigenvalue problems. In the classical Chebyshev collocation method, the Sturm-Liouville problem is discretized to a generalized eigenvalue problem where the functions represent interpolants in suitably ...
Sameh Gana
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A Semismooth Newton Method for Tensor Eigenvalue Complementarity Problem
, 2015 In this paper, we consider the tensor eigenvalue complementarity problem which is closely related to the optimality conditions for polynomial optimization, as well as a class of differential inclusions with nonconvex processes.
Chen, Zhongming, Qi, Liqun
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Linearizing and Forecasting: A Reservoir Computing Route to Digital Twins of the Brain
Advanced Science, EarlyView.A new approach uses simple neural networks to create digital twins of brain activity, capturing how different patterns unfold over time. The method generates and recovers key dynamics even from noisy data. When applied to fMRI, it predicts brain signals and reveals distinctive activity patterns across regions and individuals, opening possibilities for ...
Gabriele Di Antonio +3 more
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Error investigation of finite element approximation for a nonlinear Sturm–Liouville problem
Учёные записки Казанского университета: Серия Физико-математические науки, 2017 A positive definite differential eigenvalue problem with coefficients depending nonlinearly on the spectral parameter has been studied. The differential eigenvalue problem is formulated as a variational eigenvalue problem in a Hilbert space with bilinear
A.A. Samsonov +2 more
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Mathematics, 2020 This paper uses a locking-free nonconforming Crouzeix–Raviart finite element to solve the planar linear elastic eigenvalue problem with homogeneous pure displacement boundary condition. Making full use of the Poincaré inequality, we obtain the guaranteed
Xuqing Zhang, Yu Zhang, Yidu Yang
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Helical Electron Beam Micro‐Bunching by High‐Order Modes in a Micro‐Plasma Waveguide
Advanced Science, EarlyView.ABSTRACT Electron acceleration by a high‐power Laguerre‐Gaussian pulse in a micro‐plasma waveguide is investigated. When the incident laser travels in the waveguide, electrons on the wall are extracted into the vacuum core and accelerated by the longitudinal field of the waveguide mode.
Xingju Guo, Longqing Yi
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