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Flat portions on the boundary of the indefinite numerical range of 3×3 matrices

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Abstract(s)

We focus on complex 3×3 matrices whose indefinite numerical ranges have a flat portion on the boundary. The results here obtained are parallel to those of Keeler, Rodman and Spitkovsky for the classical numerical range.

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Copyright © 2008 Elsevier Inc. All rights reserved.

Keywords

Indefinite Numerical Range Indefinite Inner Product Space Plane Algebraic Curve Flat Portion

Citation

Teixeira, Ricardo; Bebiano, Natália; Providência, João da (2008). «Flat portions on the boundary of the indefinite numerical range of 3×3 matrices». "Linear Algebra and its Applications", 428, nº 11-12, 2863-2879.

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