Perturbation Theory for Eigenvalue Problems

• A.Greenbaum, R.-C. Li and M.L. Overton,
  First-order Perturbation Theory for Eigenvalues and Eigenvectors
  SIAM Review 62 (2020), pp. 463–482
  Published Article
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  Supplementary materials: supporting m-files
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• J.V. Burke, A.S. Lewis and M.L. Overton,
  Optimal Stability and Eigenvalue Multiplicity
  Foundations of Computational Mathematics 1 (2001), pp. 205-225.
  Published Article
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• J.V. Burke, A.S. Lewis and M.L. Overton,
  Optimizing Matrix Stability
  Proceedings of the American Mathematical Society 129 (2001), pp. 1635-1642.
  Published Article
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• J.V. Burke and M.L. Overton,
  Variational Analysis of the Abscissa Mapping for Polynomials
  SIAM J. Control Optim. 39 (2001), pp. 1651-1676.
  Published Article
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• J.V. Burke and M.L. Overton,
  Variational Analysis of Non-Lipschitz Spectral Functions
  Math. Programming 90 (2001), pp. 317-351.
  Published Article
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• J. Moro, J.V. Burke and M.L. Overton,
  On the Lidskii-Lyusternik-Vishik Perturbation Theory for Eigenvalues with Arbitrary Jordan Structure
  SIAM J. Matrix Anal. Appl. 18 (1997), pp. 793-817.
  Published Article
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  Correction to the Lidskii Russian and English references.

• S.J. Cox and M.L. Overton,
  Perturbing the Critically Damped Wave Equation
  SIAM J. Appl. Math. 56 (1996) pp. 1353-1362
  Abstract (actual published version)
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• J.V. Burke and M.L. Overton,
  Stable Perturbations of Nonsymmetric Matrices
  Linear Algebra Appl. 171 (1992) pp. 249-273
  Dvi (final version sent to publisher)
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• J.H. Maddocks and M.L. Overton,
  Stability Theory for Dissipatively Perturbed Hamiltonian Systems
  Comm. Pure Appl. Math. 48 (1995) pp. 583-610
  Pdf (published version)
  

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  E-mail address: overton@cs.nyu.edu
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