Article

Some properties of the quartic numerical range for 4x4 operator matrices

Hakimboy M. LatipovBukhara State University, Bukhara, Uzbekistan

Bulletin of National University of Uzbekistan Mathematics and Natural Sciencesjournal2023en

ABI

Abstract

In the present paper we consider self-adjoint 4x4 operator matrices A. For some special cases the alternative formulas for the calculating the quartic numerical range of 4x4 operator matrices A are derived. Using the obtained alternative formula for the quartic numerical range of A we estimate the lower and upper bound of A.

Topics

Matrix Theory and Algorithms Spectral Theory in Mathematical Physics Numerical methods in inverse problems

Identifiers

DOI: 10.56017/2181-1318.1196

Citations and references

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