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An improved eigenvector beamformer
ICASSP '84. IEEE International Conference on Acoustics, Speech, and Signal Processing, 2005Most techniques for computing beamformer tap weights do so by maximizing the overall signal-to-noise ratio at the system output, where noise includes both thermal noise and directional interference. This is the optimal solution if the two noise sources count equally.
Todd K. Citron, Thomas Kailath
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2007
Eigenvalues and the associated eigenvectors of an endomorphism of a vector space are defined and studied, as is the spectrum of an endomorphism. The characteristic polynomial of a matrix is considered and used to define the characteristic polynomial of the endomorphism of a finitely-generated vector space.
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Eigenvalues and the associated eigenvectors of an endomorphism of a vector space are defined and studied, as is the spectrum of an endomorphism. The characteristic polynomial of a matrix is considered and used to define the characteristic polynomial of the endomorphism of a finitely-generated vector space.
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Node and Layer Eigenvector Centralities for Multiplex Networks [PDF]
SIAM Journal on Applied Mathematics, 2018 Eigenvector-based centrality measures are among the most popular centrality measures in network science. The underlying idea is intuitive and the mathematical description is extremely simple in the framework of standard, mono-layer networks.
Francesca Arrigo +2 more
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Eigenvectors of a Raman Medium
Physical Review Letters, 2000We show the existence of discrete sets of Raman sidebands which self-consistently establish a Raman coherence and propagate without change in amplitude and relative phase. Equivalently, there exist periodic femtosecond-time-scale, temporal pulse shapes which propagate without change in shape.
, Yavuz, , Sokolov, , Harris
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ON RIGHT AND LEFT EIGENVECTORS
JP Journal of Algebra, Number Theory and Applications, 2019Summary: In this paper, we show that if \(\lambda\) is an eigenvalue of a square matrix \(\mathcal{A}\), then by using the largest non-singular sub-matrix of the matrix \(\mathcal{A}_\lambda=\mathcal{A}-\lambda\mathcal{I}\), we may obtain all the linearly independent right and left eigenvectors of \(\mathcal{A}\), corresponding to the eigenvalue ...
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Derivatives and Perturbations of Eigenvectors
SIAM Journal on Numerical Analysis, 1988Es sei \(D\subset {\mathbb{C}}\) ein Gebiet, A(z) sei eine \(n\times n\)-Matrix, deren Elemente auf D definierte Funktionen von z sind, und x(z), y(z) seien n-dimensionale Vektorfelder auf D, wobei x(z) speziell Eigenvektor von A(z) zum Eigenwert \(\lambda\) (z) sei. Schließlich bedeute \(\sigma\) : \({\mathbb{C}}^ n\times {\mathbb{C}}^ n\to {\mathbb{C}
Meyer, Carl D., Stewart, G. W.
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The Parallel Eigenvectors Operator
2018The parallel vectors operator is a prominent tool in visualization that has been used for line feature extraction in a variety of applications such as ridge and valley lines, separation and attachment lines, and vortex core lines. It yields all points in a 3D domain where two vector fields are parallel.
Timo Oster +2 more
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Communications of the ACM, 1963
M. L. Pei [ Comm. ACM 5 , 10 (Oct. 1962)] gave an explicit inverse for a matrix of the form M + δI , where M is an n -square matrix of ones and δ is a nonzero parameter.
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M. L. Pei [ Comm. ACM 5 , 10 (Oct. 1962)] gave an explicit inverse for a matrix of the form M + δI , where M is an n -square matrix of ones and δ is a nonzero parameter.
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The two-steps eigenvector centrality in complex networks
Chaos, Solitons and Fractals, 2023Changjiang Bu
exaly