O. Ajanki, L. Erdös, and T. , Kruger Quadratic vector equations on complex upper half-plane, 2015.

G. Anderson, A. Guionnet, and O. Zeitouni, An Introduction to Random Matrices. Cambridge studies in advanced mathematics, p.118, 2009.

Z. D. Bai and J. W. , Silverstein No eigenvalues outside the support of the limiting spectral distribution of large dimensional sample covariance matrices, Ann. Probab, vol.26, issue.1, pp.316-345, 1998.

J. Baik, G. Ben-arous, and S. , Péché Phase transition of the largest eigenvalue for nonnull complex sample covariance matrices, Ann. Prob, vol.33, pp.1643-1697, 2005.

F. Benaych-georges and R. N. Rao, The singular values and vectors of low rank perturbations of large rectangular random matrices, J. Multivariate Anal, vol.111, pp.120-135, 2012.
URL : https://hal.archives-ouvertes.fr/hal-00575203

M. Capitaine, Additive/multiplicative free subordination property and limiting eigenvectors of spiked additive deformations of Wigner matrices and spiked sample covariance matrices, J. Theoret. Probab, vol.26, issue.3, pp.595-648, 2013.
URL : https://hal.archives-ouvertes.fr/hal-00943190

F. Chapon, R. Couillet, W. Hachem, and X. , Mestre The outliers among the singular values of large rectangular random matrices with additive fixed rank deformation, Markov Process. Related Fields, vol.20, issue.2, pp.183-228, 2014.

R. Couillet, M. Debbah, and J. W. Silverstein, A deterministic equivalent for the analysis of correlated MIMO multiple access channels, IEEE Transactions on Information Theory, vol.57, issue.6, pp.3493-3514, 2011.
URL : https://hal.archives-ouvertes.fr/hal-00553676

R. Couillet and F. Benaych-georges, Kernel spectral clustering of large dimensional data
URL : https://hal.archives-ouvertes.fr/hal-01215343

R. Couillet and W. , Hachem Analysis of the limiting spectral measure of large random matrices of the separable covariance type, Random Matrices: Theory Appl, vol.03, p.1450016, 2014.

L. Erdös, B. Schlein, and H. Yau, Semicircle law on short scales and delocalization of eigenvectors for Wigner random matrices, Ann. Prob, vol.37, 2009.

T. Hastie, R. Tibshirani, and J. , Friedman The elements of statistical learning. Data mining, inference, and prediction, Springer Series in Statistics, 2009.

R. A. Horn and C. R. Johnson, Matrix Analysis, 2013.

R. A. Horn and C. R. Johnson, Topics in Matrix Analysis, 1991.

G. James, D. Witten, T. Hastie, and R. , Tibshirani An introduction to statistical learning, With applications in R. Springer Texts in Statistics, 103, 2013.

A. Kammoun, M. Kharouf, W. Hachem, and J. , Najim A central limit theorem for the SINR at the LMMSE estimator output for large-dimensional signals, IEEE Transactions on Information Theory, vol.55, issue.11, pp.5048-5063, 2009.

R. Kannan and S. , Vempala Spectral algorithms, Foundations and Trends in Theoretical Computer Science, vol.4, issue.3-4, pp.157-288, 2009.

V. Kargin, A concentration inequality and a local law for the sum of two random matrices, Probab. Theory Related Fields, vol.154, issue.3-4, pp.677-702, 2012.

P. Loubaton and P. Vallet, Almost sure localization of the eigenvalues in a gaussian information plus noise model. Applications to the spiked models, Electron. J. Prob, pp.1934-1959, 2011.
URL : https://hal.archives-ouvertes.fr/hal-00692258

U. Luxburg, A tutorial on spectral clustering, Stat. Comput, vol.17, issue.4, pp.395-416, 2007.

J. W. Silverstein and S. Choi, Analysis of the limiting spectral distribution of large dimensional random matrices, J. Multivariate Anal, vol.54, issue.2, pp.295-309, 1995.

V. A. Marcenko and L. A. Pastur, Distribution of eigenvalues for some sets of random matrices, Sbornik: Mathematics, vol.1, issue.4, pp.457-483, 1967.

B. , , vol.5

, E-mail address: florent.benaych-georges@parisdescartes.fr (R.C.) CentraleSupélec -LSS -Université ParisSud, Gif sur Yvette, France E-mail address: romain