Kippenhahn Curves of Some Tridiagonal Matrices

Natália Bebiano; João da Providência; Ilya Spitkovsky; Kenya Vazquez

doi:10.2298/FIL2109047B

Kippenhahn Curves of Some Tridiagonal Matrices

Natália Bebiano, João da Providência, Ilya Spitkovsky, Kenya Vazquez

Mathematics

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

Abstract

Tridiagonal matrices with constant main diagonal and reciprocal pairs of off-diagonal entries are considered. Conditions for such matrices with sizes up to 6-by-6 to have elliptical numerical ranges are obtained.

Original language	English (US)
Pages (from-to)	3047-3061
Number of pages	15
Journal	Filomat
Volume	35
Issue number	9
DOIs	https://doi.org/10.2298/FIL2109047B
State	Published - 2021

Keywords

Elliptical
Kippenhahn curve
Numerical range
Reciprocal matrix
Tridiagonal matrix

ASJC Scopus subject areas

General Mathematics

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10.2298/FIL2109047B

Cite this

@article{a979eac078564b0b938e7d9d9bcd8443,

title = "Kippenhahn Curves of Some Tridiagonal Matrices",

abstract = "Tridiagonal matrices with constant main diagonal and reciprocal pairs of off-diagonal entries are considered. Conditions for such matrices with sizes up to 6-by-6 to have elliptical numerical ranges are obtained.",

keywords = "Elliptical, Kippenhahn curve, Numerical range, Reciprocal matrix, Tridiagonal matrix",

author = "Nat{\'a}lia Bebiano and {da Provid{\^e}ncia}, Jo{\~a}o and Ilya Spitkovsky and Kenya Vazquez",

year = "2021",

doi = "10.2298/FIL2109047B",

language = "English (US)",

volume = "35",

pages = "3047--3061",

journal = "Filomat",

issn = "0354-5180",

publisher = "Universitet of Nis",

number = "9",

}

TY - JOUR

T1 - Kippenhahn Curves of Some Tridiagonal Matrices

AU - Bebiano, Natália

AU - da Providência, João

AU - Spitkovsky, Ilya

AU - Vazquez, Kenya

PY - 2021

Y1 - 2021

N2 - Tridiagonal matrices with constant main diagonal and reciprocal pairs of off-diagonal entries are considered. Conditions for such matrices with sizes up to 6-by-6 to have elliptical numerical ranges are obtained.

AB - Tridiagonal matrices with constant main diagonal and reciprocal pairs of off-diagonal entries are considered. Conditions for such matrices with sizes up to 6-by-6 to have elliptical numerical ranges are obtained.

KW - Elliptical

KW - Kippenhahn curve

KW - Numerical range

KW - Reciprocal matrix

KW - Tridiagonal matrix

UR - http://www.scopus.com/inward/record.url?scp=85126332228&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85126332228&partnerID=8YFLogxK

U2 - 10.2298/FIL2109047B

DO - 10.2298/FIL2109047B

M3 - Article

AN - SCOPUS:85126332228

SN - 0354-5180

VL - 35

SP - 3047

EP - 3061

JO - Filomat

JF - Filomat

IS - 9

ER -

Kippenhahn Curves of Some Tridiagonal Matrices

Abstract

Keywords

ASJC Scopus subject areas

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