On the numerical ranges of some tridiagonal matrices to Professor Leiba Rodman on the occasion of his 65th birthday

Ruey Ting Chien; Ilya M. Spitkovsky

doi:10.1016/j.laa.2014.08.010

On the numerical ranges of some tridiagonal matrices to Professor Leiba Rodman on the occasion of his 65th birthday

Ruey Ting Chien, Ilya M. Spitkovsky

Mathematics

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

Abstract

For certain tridiagonal matrices of small size, we give a complete description of flat portions on the boundary of their numerical range. We also discuss the conditions for these numerical ranges to be elliptical.

Original language	English (US)
Pages (from-to)	228-240
Number of pages	13
Journal	Linear Algebra and Its Applications
Volume	470
DOIs	https://doi.org/10.1016/j.laa.2014.08.010
State	Published - Apr 1 2015

Keywords

Numerical range
Tridiagonal matrices

ASJC Scopus subject areas

Algebra and Number Theory
Numerical Analysis
Geometry and Topology
Discrete Mathematics and Combinatorics

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10.1016/j.laa.2014.08.010

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title = "On the numerical ranges of some tridiagonal matrices to Professor Leiba Rodman on the occasion of his 65th birthday",

abstract = "For certain tridiagonal matrices of small size, we give a complete description of flat portions on the boundary of their numerical range. We also discuss the conditions for these numerical ranges to be elliptical.",

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author = "Chien, {Ruey Ting} and Spitkovsky, {Ilya M.}",

year = "2015",

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AU - Chien, Ruey Ting

AU - Spitkovsky, Ilya M.

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KW - Tridiagonal matrices

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JO - Linear Algebra and Its Applications

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ER -

On the numerical ranges of some tridiagonal matrices to Professor Leiba Rodman on the occasion of his 65th birthday

Abstract

Keywords

ASJC Scopus subject areas

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