Iryna Egorova, Leonid Golinskiĭ
Abstract
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We study spectrum inclusion regions for complex Jacobi matrices which are compact perturbations of the discrete laplacian. The condition sufficient for the lack of discrete spectrum for such matrices is given.
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We study spectrum inclusion regions for complex Jacobi matrices which are compact perturbations of the discrete laplacian. The condition sufficient for the lack of discrete spectrum for such matrices is given.
Key concepts: Discrete spectrum, Spectrum (functional analysis), Mathematics, Jacobi eigenvalue algorithm, Pure mathematics, Laplace operator, Jacobi method, Mathematical analysis