Optimizing matrix stability

Proceedings of the American Mathematical Society

Volumn 129, Issue 6, 2001, Pages 1635-1642

  Burke, J V ^a,c   Lewis, A S ^b   Overton, M L ^a  

^a UNIVERSITY OF WASHINGTON   (United States)

^b UNIVERSITY OF WATERLOO   (Canada)

^c NEW YORK UNIVERSITY   (United States)

Author keywords

Eigenvalue optimization; Jordan form; Nonsmooth analysis; Spectral abscissa

Indexed keywords

EID: 33646843419     PISSN: 00029939     EISSN: None     Source Type: Journal    
DOI: 10.1090/s0002-9939-00-05985-2     Document Type: Article

References (5)

1. V.I. Arnold. On matrices depending on parameters. Russian Mathematical Surveys, 20:29-43, 1971. MR 46:400
2. J.V. Burke and M.L. Overton. Variational analysis of non-Lipschitz spectral functions, September 1999. To appear in Mathematical Programming.
3. J.V. Burke, A.S. Lewis, and M.L. Overton. Optimal stability and eigenvalue multiplicity, June 2000. Submitted to Foundations of Computational Mathematics.
4. R.T. Rockafellar and R.J.-B. Wets. Variational analysis. Springer, Berlin, 1998. MR 98m:49001
5. L.N. Trefethen. Pseudospectra of linear operators. SIAM Review, 39:383-400, 1997. MR 98i:47004