Locating Conical Degeneracies in the Spectra of Parametric Self-adjoint Matrices
نویسندگان
چکیده
A simple iterative scheme is proposed for locating the parameter values which a 2-parameter family of real symmetric matrices has double eigenvalue. The convergence proved to be quadratic. An extension complex Hermitian (with 3 parameters) and location triple eigenvalues (5 parameters matrices) also described. Algorithm illustrated in several examples: family, with an "avoided crossing" (no covergence) 5-parameter
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ژورنال
عنوان ژورنال: SIAM Journal on Matrix Analysis and Applications
سال: 2021
ISSN: ['1095-7162', '0895-4798']
DOI: https://doi.org/10.1137/20m134174x