Results 41 to 50 of about 7,694 (263)
Investigation of eigenvibrations of a loaded bar
The differential eigenvalue problem describing eigenvibrations of a bar with fixed ends and attached load at an interior point is investigated. This problem has an increasing sequence of positive simple eigenvalues with limit point at infinity.
Samsonov Anton A., Solov’ev Sergey I.
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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
wiley +1 more source
Linearizing and Forecasting: A Reservoir Computing Route to Digital Twins of the Brain
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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The generalized eigenvalue problem is a significant topic with numerous applications in scientific and technological computing. Therefore, verifying the reliability of the results produced by numerical solvers is crucial.
Ozaki Katsuhisa, Terao Takeshi
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ABSTRACT Social tensions and resource depletion pose significant challenges to the agri‐food sector, highlighting the need for coordinated strategies to ensure sustainability in supply chains. Despite its critical importance, the relationship between coordination mechanisms and sustainability performance remains underexplored.
Carlos Moreno‐Miranda, Liesbeth Dries
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Geometric Invariant Theory and Generalized Eigenvalue Problem II [PDF]
Let G be a connected reductive subgroup of a complex connected reductive group G ^. Fix maximal tori and Borel subgroups of G and G ^. Consider the cone ℒℛ ∘ (G,G ^) generated by the pairs (ν,ν ^) of strictly dominant characters such that V ν * is a submodule of V ν ^ .
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Trust‐region filter algorithms utilizing Hessian information for gray‐box optimization
Abstract Optimizing industrial processes often involves gray‐box models that couple algebraic glass‐box equations with black‐box components lacking analytic derivatives. Such systems challenge derivative‐based solvers. The classical trust‐region filter (TRF) algorithm provides a robust framework but requires extensive parameter tuning and numerous ...
Gul Hameed +4 more
wiley +1 more source
Generalized multipoint conjugate eigenvalue problems
The authors study the following boundary value problem \[ y^{(n)}=\lambda P(t,y),\quad t\in(0,1), \qquad y^{(j)}(t_i)=0,\quad j=0,1,\dots,n_i-1,\;i=1,\dots,r, \] with \(r\geq 2, n_i\geq 1\) for \(i=1,\dots,r\), \(\sum^r_{i=1}n_i=n\) and \(0 ...
Wong, P.J.Y., Agarwal, R.P.
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This study integrates random matrix theory (RMT) and principal component analysis (PCA) to improve the identification of correlated regions in HIV protein sequences for vaccine design. PCA validation enhances the reliability of RMT‐derived correlations, particularly in small‐sample, high‐dimensional datasets, enabling more accurate detection of ...
Mariyam Siddiqah +3 more
wiley +1 more source
Some inequalities for generalized eigenvalues of perturbation problems on Hermitian matrices
In the paper, the authors establish some inequalities for generalized eigenvalues of perturbation problems on Hermitian matrices and modify shortcomings of some known inequalities for generalized eigenvalues in the related literature.
Yan Hong, Dongkyu Lim, Feng Qi
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