Numerical range of some doubly stochastic matrices

Kristin A. Camenga; Patrick X. Rault; Daniel J. Rossi; Tsvetanka Sendova; Ilya M. Spitkovsky

doi:10.1016/j.amc.2013.06.011

Numerical range of some doubly stochastic matrices

Kristin A. Camenga, Patrick X. Rault, Daniel J. Rossi, Tsvetanka Sendova, Ilya M. Spitkovsky

Mathematics

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

Abstract

A classification of all possible shapes is given for numerical ranges of 4×4 doubly stochastic matrices. The tests determining the shape are also provided, along with illustrating examples.

Original language	English (US)
Pages (from-to)	40-47
Number of pages	8
Journal	Applied Mathematics and Computation
Volume	221
DOIs	https://doi.org/10.1016/j.amc.2013.06.011
State	Published - 2013

Keywords

Doubly stochastic matrices
Numerical range

ASJC Scopus subject areas

Computational Mathematics
Applied Mathematics

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10.1016/j.amc.2013.06.011

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title = "Numerical range of some doubly stochastic matrices",

abstract = "A classification of all possible shapes is given for numerical ranges of 4×4 doubly stochastic matrices. The tests determining the shape are also provided, along with illustrating examples.",

keywords = "Doubly stochastic matrices, Numerical range",

author = "Camenga, {Kristin A.} and Rault, {Patrick X.} and Rossi, {Daniel J.} and Tsvetanka Sendova and Spitkovsky, {Ilya M.}",

note = "Funding Information: The work on this paper was begun during the REUF workshop at the American Institute of Mathematics in July 2011, supported by the NSF. Copyright: Copyright 2013 Elsevier B.V., All rights reserved.",

year = "2013",

doi = "10.1016/j.amc.2013.06.011",

language = "English (US)",

volume = "221",

pages = "40--47",

journal = "Applied Mathematics and Computation",

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AU - Camenga, Kristin A.

AU - Rault, Patrick X.

AU - Rossi, Daniel J.

AU - Sendova, Tsvetanka

AU - Spitkovsky, Ilya M.

N1 - Funding Information: The work on this paper was begun during the REUF workshop at the American Institute of Mathematics in July 2011, supported by the NSF. Copyright: Copyright 2013 Elsevier B.V., All rights reserved.

PY - 2013

Y1 - 2013

N2 - A classification of all possible shapes is given for numerical ranges of 4×4 doubly stochastic matrices. The tests determining the shape are also provided, along with illustrating examples.

AB - A classification of all possible shapes is given for numerical ranges of 4×4 doubly stochastic matrices. The tests determining the shape are also provided, along with illustrating examples.

KW - Doubly stochastic matrices

KW - Numerical range

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VL - 221

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JO - Applied Mathematics and Computation

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Numerical range of some doubly stochastic matrices

Abstract

Keywords

ASJC Scopus subject areas

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