Lidskii's theorem via nonsmooth analysis

SIAM Journal on Matrix Analysis and Applications

Volumn 21, Issue 2, 1999, Pages 379-381

  Lewis, A S ^a  

^a UNIVERSITY OF WATERLOO   (Canada)

Author keywords

Clarke generalized gradient; Eigenvalue optimization; Lidskii's theorem; Nonsmooth analysis

Indexed keywords

EID: 0033633265     PISSN: 08954798     EISSN: None     Source Type: Journal    
DOI: 10.1137/s0895479898338676     Document Type: Article

References (7)

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2. F. H. CLARKE, Optimization and Nonsmooth Analysis, John Wiley, New York, 1983; reprinted as Classics Appl. Math. 5, SIAM, Philadelphia, 1990.
3. F. H. CLARKE, Optimization and Nonsmooth Analysis, John Wiley, New York, 1983; reprinted as Classics Appl. Math. 5, SIAM, Philadelphia, 1990.
4. R. A. HORN AND C. JOHNSON, Matrix Analysis, Cambridge University Press, Cambridge, UK, 1985.
5. A. S. LEWIS, Derivatives of spectral functions, Math. Oper. Res., 6 (1996), pp. 576-588.
6. A. S. LEWIS, Nonsmooth analysis of eigenvalues, Math. Programming, 84 (1999), pp. 1-24.
7. A. W. MARSHALL AND I. OLKIN, Inequalities: Theory of Majorization and its Application, Academic Press, New York, 1979.