Analytic Solutions to Reflection-Transmission Problem of Interface in Anisotropic Ice Sheet by Bangbing Wang, Honkuan Wong

“…We also discuss the physical meanings of eigenvalues and eigenvectors and the geometry analyzing to polarimetric radar. …”
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The Spectrum and Eigenvectors of the Laplacian Matrices of the Brualdi-Li Tournament Digraphs by Xiaogen Chen

“…We obtain the eigenvalues and eigenvectors of ℒℬ2m.…”
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Robust Parametric Control of Lorenz System via State Feedback by Da-Ke Gu, Da-Wei Zhang, Yin-Dong Liu

“…The closed loop of the Lorenz system can be transformed into an arbitrary constant matrix with the desired eigenstructure (eigenvalues and eigenvectors). The freedom provided by the parametric control can be fully used to find a controller to satisfy the robustness criteria. …”
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Molecular Mechanics and Quantum Chemistry Based Study of Nickel-N-Allyl Urea and N-Allyl Thiourea Complexes by P. D. Sharma, Shruti Srivastava, P. P. Singh

“…Our results indicate that ligand field parameters (Dq, B’ and β) evaluated earlier by electronic spectra are very close to values evaluated with the help of eigenvalues and eigenvectors. Eigenvector analysis and population analysis shows that in bonding 4s, 4p, and 3dx2-y2, 3dyz orbitals of nickel are involved but the coefficient values differ in different complexes. …”
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Land cover classification of high-resolution remote sensing images based on improved spectral clustering. by Song Wu, Jian-Min Cao, Xin-Yu Zhao

“…The Lanczos algorithm, which determines the largest eigenpairs of a high-order matrix, was integrated with the spectral clustering algorithm to solve for eigenvalues and eigenvectors. The results indicate that this method can quickly and effectively classify land cover. …”
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Free-Interface Modal Synthesis Based Substructural Damage Detection Method by Shanghong Chen, Wei Lin, Jiexin Yu, Ai Qi

“…The substructure expression of the derivatives of eigenvalues and eigenvectors with respect to elemental parameters is obtained. …”
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Non-Markovian quantum exceptional points by Jhen-Dong Lin, Po-Chen Kuo, Neill Lambert, Adam Miranowicz, Franco Nori, Yueh-Nan Chen

“…Abstract Exceptional points (EPs) are singularities in the spectra of non-Hermitian operators where eigenvalues and eigenvectors coalesce. Open quantum systems have recently been explored as EP testbeds due to their non-Hermitian nature. …”
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Introducing a Novel Clustering Method for Distribution Networks to Enhance Network Performance and Ensure Load Supply in the Event of Contingencies: A Fuzzy Function-Based Approa... by Mohamad Reza Mohamadi, Mohammad Sadegh Ghazizadeh, Mohamad Abedini

“…Furthermore, the eigenvalues and eigenvectors of the Graph Laplacian matrix of the distribution network are used to identify the maximum number of cells in the distribution network and the boundary among the generated cells, considering the prediction of distributed generation and consumption load based on fuzzy modeling. …”
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Segmentation of Pulmonary Vascular Trees from Thoracic 3D CT Images by Hidenori Shikata, Geoffrey McLennan, Eric A. Hoffman, Milan Sonka

“…The algorithm integrates tube enhancement filter and traversal approaches which are based on eigenvalues and eigenvectors of a Hessian matrix to extract thin peripheral segments as well as thick vessels close to the lung hilum. …”
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The algebraic extended atom-type graph-based model for precise ligand–receptor binding affinity prediction by Farjana Tasnim Mukta, Md Masud Rana, Avery Meyer, Sally Ellingson, Duc D. Nguyen

“…This approach leverages the eigenvalues and eigenvectors of graph Laplacian and adjacency matrices to capture high-level details of specific atom pairwise interactions. …”
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Analysis of the effects of the amplitude-phase errors on spatial spectrum and resolving performance of the MUSIC algorithm by WANG Ding, WANG Chao, WU Ying

“…Compared to currently existing method,the first-order statistical expression of spatial spectrum only involves array manifold vector and source covariance matrix instead of the eigenvalue and eigenvector of the ideal array covariance matrix,besides,the mean SNR resolving threshold is suitable in the presence of power difference of two signal sources. …”
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Improved spectral clustering algorithm and its application in MCI detection by Jie XIANG, Dong-qin ZHAO

“…In order to detect mild cognitive impairment (MCI) using functional magnetic resonance imaging (fMRI)，a method based on fMRI clustering was proposed fMRI data were clustered to obtain the blood oxygen level dependence( BOLD) change model of MCI patients，then abnormal patterns were used to detect disease.The traditional spectral clustering algorithm needs to calculate all of the eigenvalue and eigenvector，so time and space complexity is higher.An improved spectral clustering method was proposed which modified the similar matrix construction method and the setting method of σ and k，and then this method was applied to clustering and detection of MCI patients.To verify the performance of the proposed method，the comparison of the clustering result，classification accuracy using traditional algorithm and Nyström is also done.The comparative experimental results show that the proposed method can get BOLD pattern more accurately，the accuracy of MCI detection is higher than the other two algorithms，and the time and space complexity are less than the traditional algorithm.…”
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