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Keyword

largest eigenvalue

Description: The greatest eigenvalue of a matrix or linear operator, studied in linear algebra, matrix analysis, and applied mathematics.
OpenAlex ID: keywords/largest-eigenvalue
On the distribution of the largest eigenvalue in principal components analysis
2001 · Iain M. Johnstone · The Annals of Statistics · 1,956
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Statistics of the Two-Dimensional Ferromagnet. Part I
1941 · H. A. Kramers, G. H. Wannier · Physical Review · 1,813
Eigenvalues and Condition Numbers of Random Matrices
1988 · Alan Edelman · SIAM Journal on Matrix Analysis and Applications · 1,285
On the distribution of the length of the longest increasing subsequence of random permutations
1999 · Jinho Baik, Percy Deift, et al. · Journal of the American Mathematical Society · 1,148
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Phase transition of the largest eigenvalue for nonnull complex sample covariance matrices
2005 · Jinho Baik, Gérard Ben Arous, et al. · The Annals of Probability · 971
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1 User-friendly Tail Bounds for Sums of Random Matrices
2010 · Joel A. Tropp · 931
Epidemic spreading in real networks: an eigenvalue viewpoint
2004 · Yang Wang, D. Chakrabarti, et al. · Proceedings/Proceedings - Symposium on Reliable Distributed Systems · 862
User-Friendly Tail Bounds for Sums of Random Matrices
2011 · Joel A. Tropp · Foundations of Computational Mathematics · 721
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A Direct Formulation for Sparse PCA Using Semidefinite Programming
2007 · Alexandre d'Aspremont, Laurent El Ghaoui, et al. · SIAM Review · 679
The eigenvalues of random symmetric matrices
1981 · Z. Füredi, J. Komlós · COMBINATORICA · 633
Epidemic spreading in correlated complex networks
2002 · Marián Boguñá, Romualdo Pastor-Satorras · Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics · 560
Limit of the Smallest Eigenvalue of a Large Dimensional Sample Covariance Matrix
1993 · Z. D. Bai, Y. Q. Yin · The Annals of Probability · 521
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The spectrum edge of random matrix ensembles
1993 · P.J. Forrester · Nuclear Physics B · 517
A Limit Theorem for the Norm of Random Matrices
1980 · Stuart Geman · The Annals of Probability · 420
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Discrete Orthogonal Polynomial Ensembles and the Plancherel Measure
2001 · Kurt Johansson · Annals of Mathematics · 378
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Largest eigenvalue of complex wishart matrices and performance analysis of MIMO MRC systems
2003 · Ming Kang, M. Alouini · IEEE Journal on Selected Areas in Communications · 354
Analysis and optimization of certain qualities of controllability and observability for linear dynamical systems
1972 · P.C. Müller, H.I. Weber · Automatica · 344
On the limit of the largest eigenvalue of the large dimensional sample covariance matrix
1988 · Y. Q. Yin, Z. D. Bai, et al. · Probability Theory and Related Fields · 341
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Finding the Largest Eigenvalue of a Nonnegative Tensor
2009 · Michael Ng, Liqun Qi, et al. · SIAM Journal on Matrix Analysis and Applications · 324
Modeling unstructured decision problems — the theory of analytical hierarchies
1978 · Thomas L. Saaty · Mathematics and Computers in Simulation · 296
Contact-based social contagion in multiplex networks
2013 · Emanuele Cozzo, Raquel A. Baños, et al. · Physical Review E · 270
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Characterizing the Dynamical Importance of Network Nodes and Links
2006 · Juan G. Restrepo, Edward Ott, et al. · Physical Review Letters · 260
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GUEs and queues
2001 · Yu. Baryshnikov · Probability Theory and Related Fields · 257
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Estimating the Largest Eigenvalue by the Power and Lanczos Algorithms with a Random Start
1992 · J. Kuczyński, H. Woźniakowski · SIAM Journal on Matrix Analysis and Applications · 251
Random Matrices: Universality of Local Eigenvalue Statistics up to the Edge
2010 · Terence Tao, Van Vu · Communications in Mathematical Physics · 245
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Works count: 2,828
Citation count: 53,000
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