# 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

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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.

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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.

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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.

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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.

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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.

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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

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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

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

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