Numerical range of some doubly stochastic matrices

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.

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Bibliographic Details
Published in:Applied mathematics and computation 2013-09, Vol.221, p.40-47
Main Authors: Camenga, Kristin A., Rault, Patrick X., Rossi, Daniel J., Sendova, Tsvetanka, Spitkovsky, Ilya M.
Format: Article
Language:English
Subjects:
Classification
Computation
Doubly stochastic matrices
Mathematical analysis
Mathematical models
Matrices (mathematics)
Matrix methods
Numerical range
Stochasticity
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Description
Summary: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.
ISSN:0096-3003
1873-5649
DOI:10.1016/j.amc.2013.06.011