Approximation of block numerical range for Hamiltonian operator matrix

The aim of this paper is to derive approximations for the block numerical range of unbounded block operator matrices that are block dominant. To illustrate our approach, we calculate the quartic numerical range of a concrete Hamiltonian operator matrix.

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Journal
Thermal Science
Published
2025-01-01
DOI
https://doi.org/10.2298/tsci2503085y
Primary Topic
Matrix Theory and Algorithms
Type
article
Field-Weighted Citation Impact
0.00

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article

Approximation of block numerical range for Hamiltonian operator matrix

Alatancang Chen, Jiahui Yu, Jie Liu
Thermal Science
Matrix Theory and Algorithms
article

Approximation of block numerical range for Hamiltonian operator matrix

Alatancang Chen, Jiahui Yu, Jie Liu
article en

Abstract

The aim of this paper is to derive approximations for the block numerical range of unbounded block operator matrices that are block dominant. To illustrate our approach, we calculate the quartic numerical range of a concrete Hamiltonian operator matrix.

Thermal ScienceVol. 29(3 Part A)
Inner Mongolia Normal University (CN), Hohhot Minzu College (CN)
Natural Science Foundation of Inner Mongolia
Openalex Percentile: Top 84%
Matrix Theory and Algorithms
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