Z. Bai, J. Demmel, and M. Gu, An inverse free parallel spectral divide and conquer algorithm for nonsymmetric eigenproblems, Numerische Mathematik, vol.76, issue.3, pp.279-308, 1997.
DOI : 10.1007/s002110050264

C. Bekas and E. Gallopoulos, Cobra: Parallel path following for computing the matrix pseudospectrum, Parallel Computing, vol.27, issue.14, pp.1879-1896, 2001.
DOI : 10.1016/S0167-8191(01)00121-1

C. Brezinski, Computational Aspects of Linear Control, 2002.
DOI : 10.1007/978-1-4613-0261-2

S. K. Godunov, Problem of the dichotomy of the spectrum of a matrix, Siberian Math, J, vol.27, pp.649-660, 1986.

S. K. Godunov, Stability of iterations of symplectic transformations, Siberian Math, J, vol.30, pp.54-63, 1989.

S. K. Godunov, Verification of boundedness for the powers of symplectic matrices with the help of averaging, Siberian Math, J, vol.33, pp.939-949, 1992.

S. K. Godunov and M. Sadkane, Elliptic dichotomy of a matrix spectrum, Linear Algebra and its Applications, vol.248, pp.205-232, 1996.
DOI : 10.1016/0024-3795(95)00195-6

S. K. Godunov, Modern Aspects of Linear Algebra, Amer, Math. Soc, vol.175, 1998.

S. K. Godunov and M. Sadkane, Computation of pseudospectra via spectral projectors, Linear Algebra and its Applications, vol.279, issue.1-3, pp.163-175, 1998.
DOI : 10.1016/S0024-3795(98)00011-1

S. K. Godunov and M. Sadkane, Numerical determination of a canonical form of a symplectic matrix, Siberian Math, J, vol.42, pp.629-647, 2001.

S. K. Godunov and M. Sadkane, Some new algorithms for the spectral dichotomy methods, Linear Algebra and its Applications, vol.358, issue.1-3, pp.173-194, 2003.
DOI : 10.1016/S0024-3795(01)00526-2

S. K. Godunov and M. Sadkane, Analysis of symplectic matrices by their spectral portraits. Applications to optimal control and to the theory of parametric resonance, 2004.

T. Kato, Perturbation theory for linear operators, 1976.
DOI : 10.1007/978-3-662-12678-3

P. Lancaster and L. Rodman, Algebraic Riccati Equations, 1995.

P. Lavallée and M. Sadkane, Computation of pseudospectra by spectral dichotomy methods in a parallel environment, Numerical Algorithms, vol.33, issue.1/4, pp.343-355, 2003.
DOI : 10.1023/A:1025540827695

A. N. Malyshev, Guaranted Accuracy in Spectral Problems of Linear Algebra, Siberian Adv, Math. J. I,II, vol.2, pp.144-197, 1992.

A. N. Malyshev, Parallel algorithm for solving some spectral problems of linear algebra, Linear Algebra Appl, pp.188-189, 1993.

A. N. Malyshev and M. Sadkane, On Parabolic and Elliptic Spectral Dichotomy, SIAM Journal on Matrix Analysis and Applications, vol.18, issue.2, pp.267-278, 1997.
DOI : 10.1137/S0895479894277958
URL : https://hal.archives-ouvertes.fr/inria-00074343

B. N. Parlett, The symmetric eigenvalue problem, Classics in Applied Mathematics, 1988.
DOI : 10.1137/1.9781611971163

M. Robbé and M. Sadkane, Riccati-based preconditioner for computing invariant subspaces of large matrices, Numerische Mathematik, vol.92, issue.1, pp.129-159, 2002.
DOI : 10.1007/s002110100355

A. Salam, On theoretical and numerical aspects of symplectic Gram?Schmidt-like algorithms, Numerical Algorithms, vol.61, issue.198, pp.437-462, 2005.
DOI : 10.1007/s11075-005-0963-2

M. Sadkane, Estimates from the discrete-time Lyapunov equation, Applied Mathematics Letters, vol.16, issue.3, pp.313-316, 2003.
DOI : 10.1016/S0893-9659(03)80050-2

M. Sadkane, Norm estimates of the Fourier series coefficients of the matrix resolvent, Applied Mathematics Letters, vol.18, issue.2, pp.149-153, 2005.
DOI : 10.1016/j.aml.2004.07.020

G. W. Stewart and J. Sun, Matrix Perturbation Theory, 1990.

L. N. Trefethen and M. Embree, Spectra and pseudospectra. The behavior of non-normal matrices and operators, 2005.
DOI : 10.1007/978-3-662-03972-4_6

H. Xu, An SVD-like matrix decomposition and its applications, Linear Algebra and its Applications, vol.368, pp.1-24, 2003.
DOI : 10.1016/S0024-3795(03)00370-7

V. A. Yakubovich and V. M. Starzhinskii, Linear differential equations with periodic coefficients, 1975.