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Criteria for the Absence of Point Spectrum on the Boundary of the Numerical Range of Tridiagonal Matrices

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Abstract

In this paper, we have obtained some conditions under which the boundary of the numerical range of tridiagonal matrices has no point spectrum. As a consequence of these results, the boundary of the numerical range of these tridiagonal matrices may be non-round only at the points where it touches the essential spectrum.

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Correspondence to P. D. Srivastava.

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Srivastava, P.D., Birbonshi, R. & Patra, A. Criteria for the Absence of Point Spectrum on the Boundary of the Numerical Range of Tridiagonal Matrices. Proc. Natl. Acad. Sci., India, Sect. A Phys. Sci. 90, 245–250 (2020). https://doi.org/10.1007/s40010-018-0566-7

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  • DOI: https://doi.org/10.1007/s40010-018-0566-7

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