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

VL - 363

SP - 147

EP - 159

JO - Linear Algebra and its Applications

JF - Linear Algebra and its Applications

SN - 0024-3795

T2 - Workshop on Nonnegative Matrices, M-matrices and Generalizations

Y2 - 26 November 2000 through 2 December 2000

ER -