Keywords: 15A18; 15A42; 15A52; Symmetric eigenvalue problem; Random perturbation; Simple eigenvalue; Multiple eigenvalue;
مقالات ISI (ترجمه نشده)
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Keywords: 15A52; 15A45; 60H25; 65F35; Contracted product; Matricization; Tensor; Norm inequality; Commutator;
Keywords: 05C50; 05C85; 15A52; 15A18; Random graphs; Geometric graphs; Circulant matrices; Random matrices; Rank correlation coefficient;
Keywords: 05C50; 05C85; 15A52; 15A18; Random graphs; Toeplitz Matrices; Random Matrices; Seriation problem; Stochastic Block Model; Rank correlation coefficient;
Limiting empirical distribution for eigenvalues of products of random rectangular matrices
Keywords: primary; 15A52; secondary; 60B10; 60F99; 60G55; Product ensemble; Rectangular matrices; Determinant point process; Empirical spectral distribution;
Keywords: 15A06; 15A52; 15A12; 65F05; 65F35; Gaussian elimination; Pivoting; Block Gaussian elimination; Preconditioning; Random matrix algorithms; Linear systems of equations;
Keywords: 62E15; 15A09; 15A52; Jacobians; Jack polynomials; Generalised hypergeometric functions; Elliptical distribution; Real, complex, quaternion and octonion random matrices; Affine shape;
Keywords: 15A52; 60F05; Random matrices; Heavy tailed random variables; Central limit theorem;
Keywords: 15A52; 15A18; 60F05; 60F15Block random matrix; Laplacian random matrices; Rectangular blocks; Empirical spectral distribution; Eigenvalues; Spectral analysis
Keywords: Compressed sensing; Multiple measurement vectors; Joint sparsity; Row sparse matrices; Sparse recovery; Alternating direction method; 90C25; 90C59; 15A52; 52A41; 65J22; 15A29;
Keywords: 82C22; 15A52; 60J60; 60K35; 82B21Interacting Brownian particles; Bessel random point fields; Random matrices; Infinite-dimensional stochastic differential equations; Coulomb potentials; Hard edge scaling limit
Keywords: 60F05; 15A52; 30E05; Moment spaces; Random matrices; Matrix measures; Random moments; Gaussian ensemble; Laguerre ensemble; Wigner's semicircle law; Marchenko-Pastur law;
Keywords: 65F05; 65F35; 15A06; 15A52; 15A12Randomized matrix algorithms; Gaussian random matrices; Singular subspaces of a matrix; Duality; Derandomization; Sparse and structured preprocessors
The Laplace transform (dets)âpexptr(sâ1w) and the existence of non-central Wishart distributions
Keywords: primary; 60e10; secondary; 15A52; Euclidean Jordan algebras; Non-central Wishart; Random matrices; Zonal polynomials;
Concentration of distances in Wigner matrices
Keywords: 15A52; 15A63; 11B25; Random matrices; Concentration of measure;
Wigner matrices, the moments of roots of Hermite polynomials and the semicircle law
Keywords: 15A52; 60B20; 33C45Random matrix; Characteristic polynomial; Semicircle law; Moments of roots of Hermite polynomials
Moment for the inverse Riesz distributions
Keywords: primary; 15A52; secondary; 78M05; Cholesky decomposition; Inverse Riesz distribution; Riesz distribution;
Estimating the norms of random circulant and Toeplitz matrices and their inverses
Keywords: 15A12; 15A52; 65F22; 65F35; Matrix norms; Condition numbers; Toeplitz matrices; Circulant matrices; Random matrices;
Robust spiked random matrices and a robust G-MUSIC estimator
Keywords: 15A52; 62G35; 62J10Random matrix theory; Robust estimation; Spiked models; MUSIC
The random matrix regime of Maronna’s M-estimator with elliptically distributed samples
Keywords: 15A52; 62G35; 62J10Random matrix theory; Robust estimation; Elliptical distribution
Random multipliers numerically stabilize Gaussian and block Gaussian elimination: Proofs and an extension to low-rank approximation
Keywords: 15A52; 15A12; 15A06; 65F22; 65F05; Random matrices; Random multipliers; Gaussian elimination; Pivoting; Block Gaussian elimination; Low-rank approximation; SRFT matrices; Random circulant matrices;
Statistical theory of shape under elliptical models and singular value decompositions
Keywords: 60E05; 15A52; 62E15Shape theory; Non-central and non-isotropic shape density; Zonal polynomials; Singular value decomposition; Maximum likelihood estimators
The singular values and vectors of low rank perturbations of large rectangular random matrices
Keywords: 15A52; 46L54; 60F99Random matrices; Haar measure; Free probability; Phase transition; Random eigenvalues; Random eigenvectors; Random perturbation; Sample covariance matrices
A centerless representation of the Virasoro algebra associated with the unitary circular ensemble
Keywords: 15A52; 17B68; Random matrices; Virasoro algebra;
Circulant type matrices with heavy tailed entries
Keywords: 15A52; 60E07; 60F05Empirical spectral distribution; kk circulant matrix; Large dimensional random matrix; Reverse circulant matrix; Symmetric circulant matrix
The Dirichlet Markov Ensemble
Keywords: 15A52; 15A51; 15A42; 60F15; 62H99Random matrices; Markov matrices; Dirichlet laws; Spectral gap
Singular value decomposition of large random matrices (for two-way classification of microarrays)
Keywords: 15A42; 15A52; 62H30Blown up matrix; Noise matrix; Random perturbation; Two-way classification; Microarray; Correspondence matrix
On the limiting spectral distribution of the covariance matrices of time-lagged processes
Keywords: 15A52; 60F05; 62F12; 62H12; 62M05Eigenvalues of covariance matrices; Lagged processes; Random matrix theory; Time lag estimation; Adaptive estimation
Duality in random matrix ensembles for all β
Keywords: 15A52; 05E05Random matrices; Calogero–Sutherland models; Jack polynomials; Duality
The Widom–Dyson constant for the gap probability in random matrix theory
Keywords: 15A52; 34E05; 65F40Random matrices; Asymptotic expansions; Correlation functions; Riemann–Hilbert problem
Hermite and Laguerre β-ensembles: Asymptotic corrections to the eigenvalue density
Keywords: 15A52; 41A60; 33D52; 02.50.Cw; 02.30.Mv; 02.30.Gp; Random matrices; Asymptotic analysis; Calogero-Moser-Sutherland models;
A pathway to matrix-variate gamma and normal densities
Keywords: 15A52; 62E15; Random matrices; Matrix-variate statistical distributions; Extended gamma; Beta; t; F; Cauchy distributions; Quadratic forms;
Recognizing linear structure in noisy matrices
Keywords: 15A52; 60F10; Wigner-noise; Blown up matrices; Perturbation of the eigenvalues; Large deviations;
Some complex matrix-variate statistical distributions on rectangular matrices
Keywords: 62E15; 15A52; 62E10; Random matrices; Complex-variate distributions; Rectangular matrices; Beta distribution; Gamma distribution; Dirichlet distribution;
Gaussian fluctuations of eigenvalues in the GUE
Keywords: 15A52; 60F05; Random matrices; Limit distribution;
A Fourier view on the R-transform and related asymptotics of spherical integrals
Keywords: 60F10; 15A52; 46L50; Large deviations; Random matrices; Non-commutative measure; R-transform;