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Journal articles
Spectral properties of sums of Hermitian matrices and algebraic geometry
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.
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
Contributor : Michel Lion <>
Submitted on : Wednesday, March 2, 2016 - 11:06:11 AM
Last modification on : Sunday, May 31, 2020 - 9:24:04 PM