The Spectrum of a New Class of Sylvester-Kac Matrices

Abdullah Alazemi; Carlos M. da Fonseca; Emrah Kılıç

doi:10.2298/FIL2112017A

The Spectrum of a New Class of Sylvester-Kac Matrices

Abdullah Alazemi, Carlos M. da Fonseca, Emrah Kılıç

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

Abstract

We define a new class of Sylvester-Kac matrices and calculate their spectra explicitly. We use the technique of the left eigenvectors to obtain the claim. We also provide some right eigenvectors which can be useful in applied computations. The main results are rather general and contain many known particular characterizations. Matrices belonging to this family represent a convenient test matrices for numerical eigenvalue computations with known spectrum.

Original language	English
Pages (from-to)	4017-4031
Number of pages	15
Journal	Filomat
Volume	35
Issue number	12
DOIs	https://doi.org/10.2298/FIL2112017A
State	Published - 2021

Keywords

Determinant
Eigenvalues
Sylvester-Kac matrix
Tridiagonal matrices

Funding Agency

Kuwait Foundation for the Advancement of Sciences

Access to Document

10.2298/FIL2112017A

Cite this

@article{b43bccea85354ade81c8bde022ef2cf9,

title = "The Spectrum of a New Class of Sylvester-Kac Matrices",

abstract = "We define a new class of Sylvester-Kac matrices and calculate their spectra explicitly. We use the technique of the left eigenvectors to obtain the claim. We also provide some right eigenvectors which can be useful in applied computations. The main results are rather general and contain many known particular characterizations. Matrices belonging to this family represent a convenient test matrices for numerical eigenvalue computations with known spectrum.",

keywords = "Determinant, Eigenvalues, Sylvester-Kac matrix, Tridiagonal matrices",

author = "Abdullah Alazemi and {da Fonseca}, {Carlos M.} and Emrah Kılı{\c c}",

year = "2021",

doi = "10.2298/FIL2112017A",

language = "English",

volume = "35",

pages = "4017--4031",

journal = "Filomat",

issn = "0354-5180",

publisher = "Universitet of Nis",

number = "12",

}

TY - JOUR

T1 - The Spectrum of a New Class of Sylvester-Kac Matrices

AU - Alazemi, Abdullah

AU - da Fonseca, Carlos M.

AU - Kılıç, Emrah

PY - 2021

Y1 - 2021

N2 - We define a new class of Sylvester-Kac matrices and calculate their spectra explicitly. We use the technique of the left eigenvectors to obtain the claim. We also provide some right eigenvectors which can be useful in applied computations. The main results are rather general and contain many known particular characterizations. Matrices belonging to this family represent a convenient test matrices for numerical eigenvalue computations with known spectrum.

AB - We define a new class of Sylvester-Kac matrices and calculate their spectra explicitly. We use the technique of the left eigenvectors to obtain the claim. We also provide some right eigenvectors which can be useful in applied computations. The main results are rather general and contain many known particular characterizations. Matrices belonging to this family represent a convenient test matrices for numerical eigenvalue computations with known spectrum.

KW - Determinant

KW - Eigenvalues

KW - Sylvester-Kac matrix

KW - Tridiagonal matrices

UR - http://www.scopus.com/inward/record.url?scp=85126280933&partnerID=8YFLogxK

U2 - 10.2298/FIL2112017A

DO - 10.2298/FIL2112017A

M3 - Article

AN - SCOPUS:85126280933

SN - 0354-5180

VL - 35

SP - 4017

EP - 4031

JO - Filomat

JF - Filomat

IS - 12

ER -

The Spectrum of a New Class of Sylvester-Kac Matrices

Abstract

Keywords

Funding Agency

Access to Document

Other files and links

Fingerprint

Cite this