ON THE 2ND REAL EIGENVALUE OF NONNEGATIVE AND Z-MATRICES

Authors
FRIEDLAND S NABBEN R
Citation
S. Friedland et R. Nabben, ON THE 2ND REAL EIGENVALUE OF NONNEGATIVE AND Z-MATRICES, Linear algebra and its applications, 255, 1997, pp. 303-313
Citations number
9
Categorie Soggetti
Mathematics,Mathematics
Journal title
Linear algebra and its applications → ACNP
ISSN journal
00243795
Volume
255
Year of publication
1997
Pages
303 - 313
Database
ISI
SICI code
0024-3795(1997)255:<303:OT2REO>2.0.ZU;2-1
Abstract
We give bounds for the second real eigenvalue of nonegative matrices a nd Z-matrices. Furthermore, we establish upper bounds for the maximal spectral radii of principal submatrices of nonnegative matrices. Using these bounds, we prove that our inequality for the second real eigenv alue of the adjacency matrix of a connected regular graph improves a w ell-known bound for the second eigenvalue using Cheeger's inequality. (C) Elsevier Science Inc., 1997.