The relation between the numerical range w (An) and w (a) for the 2 × 2 complex matrix

Yong Hun Lee; Yeon Hee Park; Hye Ran Shin

doi:10.14317/jami.2021.125

The relation between the numerical range w (Aⁿ) and w (a) for the 2 × 2 complex matrix

Yong Hun Lee
, Yeon Hee Park^*
, Hye Ran Shin

^*Corresponding author for this work

Department of Mathematics

Jeonbuk National University

Research output: Contribution to journal › Journal article › peer-review

Abstract

In the paper, we investigate the representation of the numerical range W (Aⁿ) for the 2 × 2 complex matrix A, in terms of the numerical range W (A) of the matrix A, and the elements of A or the eigenvalue of A.

Original language	English
Pages (from-to)	125-131
Number of pages	7
Journal	Journal of Applied Mathematics and Informatics
Volume	39
Issue number	1-2
DOIs	https://doi.org/10.14317/jami.2021.125
State	Published - 2021

Keywords

Eigenvalue
Numerical range
Schur decomposition
Square of matrix
Unitary similar

Quacquarelli Symonds(QS) Subject Topics

Computer Science & Information Systems
Mathematics

Access to Document

10.14317/jami.2021.125

Cite this

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title = "The relation between the numerical range w (An) and w (a) for the 2 × 2 complex matrix",

abstract = "In the paper, we investigate the representation of the numerical range W (An) for the 2 × 2 complex matrix A, in terms of the numerical range W (A) of the matrix A, and the elements of A or the eigenvalue of A.",

keywords = "Eigenvalue, Numerical range, Schur decomposition, Square of matrix, Unitary similar",

author = "Lee, \{Yong Hun\} and Park, \{Yeon Hee\} and Shin, \{Hye Ran\}",

note = "Publisher Copyright: {\textcopyright} 2021 KSCAM.",

year = "2021",

doi = "10.14317/jami.2021.125",

language = "English",

volume = "39",

pages = "125--131",

journal = "Journal of Applied Mathematics and Informatics",

issn = "2734-1194",

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T1 - The relation between the numerical range w (An) and w (a) for the 2 × 2 complex matrix

AU - Lee, Yong Hun

AU - Park, Yeon Hee

AU - Shin, Hye Ran

PY - 2021

Y1 - 2021

N2 - In the paper, we investigate the representation of the numerical range W (An) for the 2 × 2 complex matrix A, in terms of the numerical range W (A) of the matrix A, and the elements of A or the eigenvalue of A.

AB - In the paper, we investigate the representation of the numerical range W (An) for the 2 × 2 complex matrix A, in terms of the numerical range W (A) of the matrix A, and the elements of A or the eigenvalue of A.

KW - Eigenvalue

KW - Numerical range

KW - Schur decomposition

KW - Square of matrix

KW - Unitary similar

UR - https://www.scopus.com/pages/publications/85100904496

U2 - 10.14317/jami.2021.125

DO - 10.14317/jami.2021.125

M3 - Journal article

AN - SCOPUS:85100904496

SN - 2734-1194

VL - 39

SP - 125

EP - 131

JO - Journal of Applied Mathematics and Informatics

JF - Journal of Applied Mathematics and Informatics

IS - 1-2

ER -