Results 61 to 70 of about 180,050 (282)

Achievable multiplicity partitions in the inverse eigenvalue problem of a graph

Special Matrices, 2019
Associated to a graph G is a set 𝒮(G) of all real-valued symmetric matrices whose off-diagonal entries are nonzero precisely when the corresponding vertices of the graph are adjacent, and the diagonal entries are free to be chosen.
Adm Mohammad, Fallat Shaun, Meagher Karen, Nasserasr Shahla, Plosker Sarah, Yang Boting   +5 more
doaj   +1 more source

Computing the $\sin_{p}$ function via the inverse power method

, 2010
In this paper, we discuss a new iterative method for computing $\sin_{p}$. This function was introduced by Lindqvist in connection with the unidimensional nonlinear Dirichlet eigenvalue problem for the $p$-Laplacian.
Biezuner, Rodney Josué, Ercole, Grey, Martins, Eder Marinho   +2 more
core   +1 more source

Explaining the Origin of Negative Poisson's Ratio in Amorphous Networks With Machine Learning

Advanced Intelligent Discovery, EarlyView.
This review summarizes how machine learning (ML) breaks the “vicious cycle” in designing auxetic amorphous networks. By transitioning from traditional “black‐box” optimization to an interpretable “AI‐Physics” closed‐loop paradigm, ML is shown to not only discover highly optimized structures—such as all‐convex polygon networks—but also unveil hidden ...
Shengyu Lu, Xiangying Shen
wiley   +1 more source

The inverse eigenvalue problem for entanglement witnesses [PDF]

Linear Algebra and its Applications, 2018
We consider the inverse eigenvalue problem for entanglement witnesses, which asks for a characterization of their possible spectra (or equivalently, of the possible spectra resulting from positive linear maps of matrices). We completely solve this problem in the two-qubit case and we derive a large family of new necessary conditions on the spectra in ...
Nathaniel Johnston, Everett Patterson
openaire   +3 more sources

Adaptive Macroscopic Ensemble Allocation for Robot Teams Monitoring Spatiotemporal Processes

Advanced Intelligent Systems, EarlyView.
We propose an online, environment feedback‐driven macroscopic ensemble approach to adapt robot team task allocation in spatiotemporal environments by controlling robot populations rather than assigning individual robots, all while maintaining robust team performance even for small teams. Our simulation and experimental results show better or comparable
Victoria Edwards, Thales C. Silva, M. Ani Hsieh   +2 more
wiley   +1 more source

Solving an abstract nonlinear eigenvalue problem by the inverse iteration method

, 2017
Let $\left( X,\left\Vert \cdot\right\Vert_{X}\right) $ and $\left( Y,\left\Vert \cdot\right\Vert_{Y}\right) $ be Banach spaces over $\mathbb{R},$ with $X$ uniformly convex and compactly embedded into $Y.$ The inverse iteration method is applied to solve ...
Ercole, Grey
core   +1 more source

A Hybrid Semi‐Inverse Variational and Machine Learning Approach for the Schrödinger Equation

Advanced Physics Research, EarlyView.
A hybrid semi‐inverse variational and machine‐learning framework is presented for solving the Schrödinger equation with complex quantum potentials. Physics‐based variational solutions generate high‐quality training data, enabling Random Forest and Neural Network models to deliver near‐perfect energy predictions.
Khalid Reggab, Houssam Eddine Hailouf, Kingsley Onyebuchi Obodo, Mireille Megnidio‐Tchoukouegno, Mohammed Benali Kanoun, Souraya Goumri‐Said   +5 more
wiley   +1 more source

Reconstruction of the potential in the Sturm-Liouville equation with spectral boundary conditions

Journal of Inequalities and Applications
This study examines the Sturm-Liouville equation, focusing on cases where the spectral parameter is included in the boundary conditions. By employing the Hochstadt-Lieberman theorem and the Weyl function, we demonstrate that when the potential is known ...
Yasser Khalili, Nematollah Kadkhoda
doaj   +1 more source

Special solutions of the optical soliton eigenvalue problem [PDF]

, 1988
Electromagnetic pulse propagation in optical fibres is described by the non-linear Schrodinger equation. The solutions, or solitons, remain completely unchanged as they propagate along the fibre.
Breen, Kevin
core  

On the Real Spectra of Calogero Model with Complex Coupling

, 2004
We study the eigenvalue problem of the rational Calogero model with the coupling of the inverse-square interaction as a complex number. We show that although this model is manifestly non-invariant under the combined parity and time-reversal symmetry ...
Abromowitz, Ahmed, Bagchi, Basu-Mallick, Basu-Mallick, Basu-Mallick, Basu-Mallick, Basu-Mallick, Basu-Mallick, Bender, Bender, Bender, Bender, Calogero, Calogero, Calogero, Cannata, Case, Dorey, Fernandez, Khare, Kumar S Gupta, Mostafazadeh, Mostafazadeh, Mostafazadeh, Olshanetsky, Olshanetsky, Pijush K Ghosh, Znojil   +28 more
core   +1 more source