@article{773086f421f646f2bc2eab8a9e2e14b2,
title = "On 3-by-3 row stochastic matrices",
abstract = "The known constructive tests for the shapes of the numerical ranges in the 3-by-3 case are further specified when the matrices in question are row stochastic. Auxiliary results on the unitary (ir)reducibility of such matrices are also obtained.",
keywords = "Kippenhahn curve, numerical range, row stochastic matrix, unitary reducibility",
author = "Nhi Pham and Spitkovsky, {Ilya M.}",
note = "Funding Information: This work is based on the capstone project of the first author [NP] supervised by the second author [IS]. The latter was supported in part by Faculty Research funding from the Division of Science, New York University Abu Dhabi. The authors are thankful to the anonymous reviewers for carefully reading the manuscript and for several helpful suggestions. Publisher Copyright: {\textcopyright} 2023 the author(s), published by De Gruyter.",
year = "2023",
month = jan,
day = "1",
doi = "10.1515/spma-2023-0103",
language = "English (US)",
volume = "11",
journal = "Special Matrices",
issn = "2300-7451",
publisher = "Walter de Gruyter GmbH",
number = "1",
}