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Research Article Open access CC BY 2.0

Eigenvalues for Some Complex In nite Tridiagonal Matrices

Maria Malejki

Journal of Advances in Mathematics and Computer Science · pp. 1–9 · Published 3 Mar 2018

10.9734/JAMCS/2018/39654

Abstract

The discrete spectrum for an unbounded operator J dened by a special innite tridiagonal complex matrix is approximated by the eigenvalues of its orthogonal truncations. Let σ(J) means the spectrum of the operator J and                                       where Limn→∞λn is the set of limit points of the sequence (λn); and the n x n matrix Jn is an orthogonal truncation of J. We consider classes of tridiagonal complex matrices for which σ(J) = Λ(J).

Tridiagonal matrix complex Jacobi matrix discrete spectrum eigenvalue asymptotic formula unbounded operator.

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