TY - JOUR
T1 - On the relative position of multiple eigenvalues in the spectrum of an Hermitian matrix with a given graph
AU - Johnson, Charles R.
AU - Leal-Duarte, António
AU - Saiago, Carlos Manuel
AU - Sutton, Brian D.
AU - Witt, Andrew J.
N1 - 1- Research supported by NSF-REU grant DMS-99-87803. 2- This research was supported by CMUC and by Projecto PRAXIS/2/2.1/Mat/458/94. 3- Research supported in part by Fundacão para a Ciência e a Tecnologia, Portugal, through the research grant SFRH/BD/899/2000.
PY - 2003/4/1
Y1 - 2003/4/1
N2 - For Hermitian matrices, whose graph is a given tree, the relationships among vertex degrees, multiple eigenvalues and the relative position of the underlying eigenvalue in the ordered spectrum are discussed in detail. In the process, certain aspects of special vertices, whose removal results in an increase in multiplicity are investigated.
AB - For Hermitian matrices, whose graph is a given tree, the relationships among vertex degrees, multiple eigenvalues and the relative position of the underlying eigenvalue in the ordered spectrum are discussed in detail. In the process, certain aspects of special vertices, whose removal results in an increase in multiplicity are investigated.
KW - Eigenvalues
KW - Hermitian matrix
KW - Multiplicity
KW - Parter vertices
KW - Tree
KW - Vertex degrees
U2 - 10.1016/S0024-3795(01)00589-4
DO - 10.1016/S0024-3795(01)00589-4
M3 - Conference article
SN - 0024-3795
VL - 363
SP - 147
EP - 159
JO - Linear Algebra and its Applications
JF - Linear Algebra and its Applications
T2 - Workshop on Nonnegative Matrices, M-matrices and Generalizations
Y2 - 26 November 2000 through 2 December 2000
ER -