Normal matrices subordinate to a tree and flat portions of the field of values

Charles R. Johnson; Ilya M. Spitkovsky; Mirjana Stevanovic; Morrison Turnansky

doi:10.1016/j.laa.2016.06.008

Normal matrices subordinate to a tree and flat portions of the field of values

Charles R. Johnson, Ilya M. Spitkovsky, Mirjana Stevanovic, Morrison Turnansky

Mathematics

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

Abstract

Matrices subordinate to trees are considered. An efficient normality characterization for any such matrix is given, and several consequences (not valid for general normal matrices) of it are established. In addition, the existence (and enumeration) of flat portions on the boundary of the field of values of matrices subordinate to a tree is characterized.

Original language	English (US)
Pages (from-to)	198-207
Number of pages	10
Journal	Linear Algebra and Its Applications
Volume	507
DOIs	https://doi.org/10.1016/j.laa.2016.06.008
State	Published - Oct 15 2016

Keywords

Field of values
Flat boundary portion
Normal matrix
Tree
Undirected graph of a matrix

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.2016.06.008

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abstract = "Matrices subordinate to trees are considered. An efficient normality characterization for any such matrix is given, and several consequences (not valid for general normal matrices) of it are established. In addition, the existence (and enumeration) of flat portions on the boundary of the field of values of matrices subordinate to a tree is characterized.",

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author = "Johnson, {Charles R.} and Spitkovsky, {Ilya M.} and Mirjana Stevanovic and Morrison Turnansky",

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AU - Johnson, Charles R.

AU - Spitkovsky, Ilya M.

AU - Stevanovic, Mirjana

AU - Turnansky, Morrison

PY - 2016/10/15

Y1 - 2016/10/15

N2 - Matrices subordinate to trees are considered. An efficient normality characterization for any such matrix is given, and several consequences (not valid for general normal matrices) of it are established. In addition, the existence (and enumeration) of flat portions on the boundary of the field of values of matrices subordinate to a tree is characterized.

AB - Matrices subordinate to trees are considered. An efficient normality characterization for any such matrix is given, and several consequences (not valid for general normal matrices) of it are established. In addition, the existence (and enumeration) of flat portions on the boundary of the field of values of matrices subordinate to a tree is characterized.

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KW - Flat boundary portion

KW - Normal matrix

KW - Tree

KW - Undirected graph of a matrix

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JO - Linear Algebra and Its Applications

JF - Linear Algebra and Its Applications

ER -

Normal matrices subordinate to a tree and flat portions of the field of values

Abstract

Keywords

ASJC Scopus subject areas

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