Maximizing the spectral radius of fixed trace diagonal perturbations of nonnegative matrices

Linear Algebra and Its Applications

Volumn 241-243, Issue , 1996, Pages 635-654

  Johnson, Charles R ^a   Loewy, Raphael ^b   Olesky, D D ^c   Van Den Driessche, P ^c  

^a Dept of Economics and Thomas Jefferson Program in Public Policy at the College of William and Mary   (United States)

^b TECHNION ISRAEL INSTITUTE OF TECHNOLOGY   (Israel)

^c UNIVERSITY OF VICTORIA   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 21344462089     PISSN: 00243795     EISSN: None     Source Type: Journal    
DOI: 10.1016/0024-3795(95)00258-8     Document Type: Article

References (6)

1. S. L. Campbell and C. D. Meyer, Generalized Inverses of Linear Transformations, Pitman, London, 1979.
2. J. E. Cohen, Convexity of the dominant eigenvalue of an essentially nonnegative matrix, Proc. Amer. Math. Soc. 81:657-658 (1981).
3. E. Deutsch and M. Neumann, Derivatives of the Perron root at an essentially nonnegative matrix and the group inverse of an M-Matrix, J. Math. Anal. Appl. 102:1-29 (1984).
4. L. Elsner, C. R. Johnson, and M. Neumann, On the effect of the perturbation of a nonnegative matrix on its Perron eigenvector, Czech. J. Math. 32:99-109 (1982).
5. M. Haviv, Y. Ritov, and U. Rothblum, Taylor expansions of eigenvalues of perturbed matrices with applications to spectral radii of nonnegative matrices, Linear Algebra Appl. 168:159-188 (1992).
6. C. R. Johnson, D. D. Olesky, D. P. Stanford, and P. van den Driessche, Dominant eigenvalues under trace-preserving diagonal perturbations, Linear Algebra Appl. 212/213:415-435 (1994).