Majorizations for the dominant eigenvector of a nonnegative matrix

Proceedings of the American Control Conference

Volumn , Issue , 2008, Pages 1965-1966

  Roy, Sandip ^a   Saberi, Ali ^a   Wan, Yan ^a  

^a WASHINGTON STATE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CONTROLLER DESIGNS; EIGEN VECTORS; MAJORIZATION; NON-NEGATIVE MATRICES;

MATRIX ALGEBRA;

EIGENVALUES AND EIGENFUNCTIONS;

EID: 52449133239     PISSN: 07431619     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/ACC.2008.4586780     Document Type: Conference Paper

References (7)

1. A. Berman and R. J. Plemmons, Nonnegative Matrices in the Mathematical Sciences, SIAM Classics in App. Math., no. 9, 1994.
2. S. Roy and A. Saberi, "Scaling: a canonical design problem for networks," International Journal of Control, vol. 80, no. 8, pp. 1342-1352, Aug. 2007.
3. Y. Wan, S. Roy, and A. Saberi, "Designing spatially-heterogeneous strategies for control of virus spread," to appear IET Systems Biology.
4. Also in Proceedings of the 2007 Conference on Decision and Control, New Orleans, LA.
5. A. Berman, M. Neuman, and R. J. Stern, Nonnegative Matrices in Dynamic Systems, Pure and Applied Mathematics Series, Wiley 1989.
6. F. R. K. Chung, Spectral Graph Theory, published for the CBMS by the AMS, no. 92, 1994.
7. S. Roy, Y. Wan, and A. Saberi, "Majorizations for the dominant eigenvalue of a nonnegative matrix," extended version. www.eecs.wsu.edu/ ~ywan.