EIGENVALUES, PSEUDOSPECTRUM AND STRUCTURED PERTURBATIONS

[1]  L. Trefethen,et al.  Spectra and Pseudospectra , 2020 .

[2]  Daniel Kressner,et al.  Structured Eigenvalue Condition Numbers , 2006, SIAM J. Matrix Anal. Appl..

[3]  S. Graillat.  A note on structured pseudospectra , 2006 .

[4]  Daniel Kressner,et al.  On the Condition of a Complex Eigenvalue under Real Perturbations , 2004 .

[5]  M. Sadkane,et al.  Componentwise pseudospectrum of a matrix , 2004 .

[6]  M. Hochstenbach,et al.  Backward error, condition numbers, and pseudospectrum for the multiparameter eigenvalue problem , 2003 .

[7]  Desmond J. Higham,et al.  On the Boundedness of Asymptotic Stability Regions for the Stochastic Theta Method , 2003 .

[8]  G. Hargreaves.  Interval Analysis in Matlab , 2002 .

[9]  Nicholas J. Higham,et al.  Structured Backward Error and Condition of Generalized Eigenvalue Problems , 1999, SIAM J. Matrix Anal. Appl..

[10]  Nicholas J. Higham,et al.  INVERSE PROBLEMS NEWSLETTER , 1991 .

[11]  Diederich Hinrichsen,et al.  Spectral value sets: a graphical tool for robustness analysis , 1993 .

[12]  J. Demmel,et al.  The strong stability of algorithms for solving symmetric linear systems , 1989 .

[13]  J. Doyle.  Analysis of Feedback Systems with Structured Uncertainty , 1982 .

[14]  Stan Wagon,et al.  The SIAM 100-Digit Challenge - A study in High-Accuracy Numerical Computing , 2004, The SIAM 100-Digit Challenge.

[15]  Siegfried M. Rump,et al.  Structured Perturbations Part I: Normwise Distances , 2003, SIAM J. Matrix Anal. Appl..

[16]  A. Böttcher,et al.  On the Distance of a Large Toeplitz Band Matrix to the Nearest Singular Matrix , 2002 .

[17]  Nicholas J. Higham,et al.  Structured Pseudospectra for Polynomial Eigenvalue Problems, with Applications , 2001, SIAM J. Matrix Anal. Appl..

[18]  T. Csendes.  Developments in Reliable Computing , 2000 .

[19]  Siegfried M. Rump,et al.  INTLAB - INTerval LABoratory , 1998, SCAN.

[20]  A. Böttcher,et al.  Norms of Inverses, Spectra, and Pseudospectra of Large Truncated Wiener-Hopf Operators and Toeplitz Matrices , 1997 .

[21]  S. Rump.  Verification methods for dense and sparse systems of equations , 1994 .

[22]  Andrew Packard,et al.  The complex structured singular value , 1993, Autom..

[23]  Nicholas J. Higham,et al.  Backward Error and Condition of Structured Linear Systems , 1992, SIAM J. Matrix Anal. Appl..

[24]  A. Neumaier.  Interval methods for systems of equations , 1990 .

[25]  J. Borwein.  The SIAM 100-Digit challenge: a study in high-accuracy numerical computing , 1987 .

[26]  Albrecht Böttcher,et al.  Spectral properties of banded Toeplitz matrices , 1987 .

[27]  Stef Graillat,et al.  Structured Condition Number and Backward Error for Eigenvalue Problems , 2022 .