Skip to Main content Skip to Navigation
Journal articles

Spectral properties of sums of Hermitian matrices and algebraic geometry

P. Chau Huu-Tai 1 P. van Isacker 2
1 DAM - Direction des Applications Militaires
2 GANIL - Grand Accélérateur National d'Ions Lourds
Abstract : It is shown that all the eigenvectors of a sum of Hermitian matrices belong to the same algebraic variety. A polynomial system characterizing this variety is given and a set of nonlinear equations is derived which allows the construction of the variety. Moreover, in some specific cases, explicit expressions for the eigenvectors and eigenvalues can be obtained. Explicit solutions of selected models are also derived.
Document type :
Journal articles
Complete list of metadatas
http://hal.in2p3.fr/in2p3-01281429
Contributor : Michel Lion <>
Submitted on : Wednesday, March 2, 2016 - 11:06:11 AM
Last modification on : Sunday, May 31, 2020 - 9:24:04 PM

Identifiers

Collections

IN2P3 | GANIL | CNRS | CEA | DAM | DSM-GANIL | CEA-DRF

Citation

P. Chau Huu-Tai, P. van Isacker. Spectral properties of sums of Hermitian matrices and algebraic geometry. Journal of Physics A: Mathematical and General (1975 - 2006), IOP Publishing, 2016, 49 (15), pp.155301. ⟨10.1088/1751-8113/49/15/155301⟩. ⟨in2p3-01281429⟩

Export

BibTeX TEI DC DCterms EndNote

Share

Metrics

Record views

394