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Complex Approximations, Orthogonal Polynomials and Applications (CAOPA)
October 17, 2022 20:00–21:00, Moscow, online via Zoom at 17:00 GMT (=13:00 EDT=18:00 BST=19:00 CEST=20:00 Msk)
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Spectral properties of tridiagonal matrices with two-periodic main diagonal via orthogonal polynomials
M. Yu. Tyaglov
Shanghai Jiao Tong University
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Abstract:
Given a matrix with two-periodic main diagonal, we describe properties of its spectrum
and eigenvectors consuming its relation to orthogonal polynomials. We provide
exact formulas for eigenvalues and (generalised) eigenvectors provided the spectral
properties of the matriz with the same sub- and superdiagonals and zero man diagonal
are known.
The talk is based on a joint work with Alexander Dyachenko (KIAM RAS).
Language: English
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