Bâtiment:  22    
Bureau:   118            

Téléphone:  02 23 23 60 46 

FAX:        02 23 23 67 90 

e-mail:  Michel.Crouzeix(at)univ-rennes1.fr    

Quelques publications récentes

D. Kressner, M. Crouzeix : A bivariate extension of the Crouzeix-Palencia result with an application to Fréchet derivatives
of matrix functions, Preprint

C. Badea, M. Crouzeix, H. Klaja : Spectral sets and operator radii, Bull. London Math. Soc., vol. 50, no. 6, 2018, p. 986-996

M. Crouzeix, A. Greenbaum : Spectral sets: numerical range and beyond, SIAM J. Matrix Anal., vol. 40, no.3, 2019, p. 1087-1101.

M. Crouzeix, C. Palencia : The numerical range is a (1+sqrt(2))-spectral set, SIAM J. Matrix Anal., vol. 38, no. 2, 2017, p. 649-655.

M. Combescot, M. Crouzeix : From granules to bulk superconductors using Richardson-Gaudin equations,
The European Physical Journal B, vol. 89, no. 7, 2016, 164.

M. Crouzeix : Some constants related to Numerical Ranges, SIAM J. Matrix Anal., vol. 37, no. 1, 2016, p. 420-442.

M. Costabel, M. Crouzeix, M. Dauge et Y. Lafranche : The inf-sup constant for the divergence on corner domains.
Numerical Methods for P.D.E. vol. 31, no. 3, 2015, p. 439-458.

B. Beckermann, M. Crouzeix : Faber polynomials of matrices for non-convex sets.
JAEN J. of Approx., vol. 6, no 2, 2014, p. 219-231.

M. Crouzeix, F. Gilfeather and J. Holbrook : Polynomial bounds for small matrices.
Linear and Multilinear Algebra, vol. 62, issue 5, 2014, p. 614-625.

M. Crouzeix : Spectral sets and 3x3 nilpotent matrices. Fichier.pdf(168k)
Topics in Functional and Harmonic Analysis. Catalin Badea, Daniel Li, and Violetta Petkova editors.
A publication of the Theta Foundation, THETA/17, 2013.

C. Badea, M. Crouzeix : Numerical radius and distance to unitaries.
Operators and Matrices, vol. 7, no. 2, 2013, p. 285-292.

M. Combescot, M. Crouzeix : Energy of N Cooper pairs by analytically solving the Richardson-Gaudin equations.
Physical Review Letters, vol. 107, issue 26, 2011.

M. Crouzeix : The annulus as a K-spectral set .
Communications on Pure and Applied Analysis, vol.11, issue 6, 2012, p. 2291-2303.

M. Combescot, T. Cren, M. Crouzeix, O. Betbeder-Matibet : Density dependence of the energy of N Cooper pairs.
European Physical Journal B, vol. 80, no. 1, 2011, p. 41-49.

W.V. Pogosov, M. Combescot, M. Crouzeix : The two-Cooper pair problem and the Pauli exclusion principle.
Physical Review B, vol. 81, no. 17, 2010.

C. Badea, B. Beckermann, M. Crouzeix : Intersections of several disks of the Riemann sphere as K-spectral sets.
Communications on Pure and Applied Analysis, vol. 8, no. 1, 2009, p. 37-54.

M. Crouzeix : A functional calculus based on the numerical range. Applications.
Linear and Multilinear Algebra, vol. 56, issue 1, 2008, p. 81-103.

M. Crouzeix : Numerical range and functional calculus in Hilbert space.
Journal of Functional Analysis, vol. 244, 2007, p. 668-690.

N. Bakaev, M. Crouzeix,V. Thomée : Maximum-norm resolvent estimates for elliptic finite
element operators on nonquasiuniform triangulations .
M2AN, vol. 40, no. 5, 2006, p. 923-937.

M. Crouzeix : Une famille d'inégalités pour les ensembles convexes du plan.
Annales Mathématiques Blaise Pascal, vol. 12, 2005, p. 13-20.

M. Crouzeix : Bounds for analytic functions of matrices.
Integral Equations and Operator Theory, vol. 48, 2004, p. 461-477.

Un article introuvable

M. Crouzeix : On an operator related to the convergence of Uzawa's algorithm for the Stokes equation.
Fichier.ps (146k), in Computational Science for the 21-st century, M-O. Bristeau and al. eds, Wiley & sons, 242-249, 1997.

Travaux divers

Relèvement de la divergence. Fichier pdf (104k).

Meilleures constantes de Sobolev. Fichier.ps.gz(56k).

Notes de cours

Polycopié du Cours d'ANEP (Chapitre 0) . Fichier ps (114k), fichier pdf(106k).

Polycopié du Cours d'ANEP (Chapitre 1). Fichier ps (224k), fichier pdf(292k).

Polycopié du Cours d'ANEP (Chapitre 2) . Fichier pdf(199k).

Approximation des équations paraboliques, école d'automne de Jaca. Fichier pdf (322k).

Approximation of parabolic equations (english version). Fichier pdf (320k).

 

Page mise à jour le 13 décembre 2022