Indefinite numerical range of 3×3 matrices

Teixeira, Ricardo Emanuel Cunha; Bebiano, Natália; Providência, João da

http://hdl.handle.net/10400.3/1458

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Authors

Teixeira, Ricardo Emanuel Cunha

Bebiano, Natália

Providência, João da

Abstract(s)

The point equation of the associated curve of the indefinite numerical range is derived, following Fiedler’s approach for definite inner product spaces. The classification of the associated curve is presented in the 3 × 3 indefinite case, using Newton’s classification of cubic curves. Illustrative examples of all the different possibilities are given. The results obtained extend to Krein spaces results of Kippenhahn on the classical numerical range.

Description

Keywords

Indefinite Numerical Range Indefinite Inner Product Space Plane Algebraic Curve

URI

http://hdl.handle.net/10400.3/1458

Citation

Teixeira, Ricardo; Bebiano, Natália; Providência, João da. (2009). «Indefinite numerical range of 3×3 matrices», "Czechoslovak Mathematical Journal", 59, nº 1, 221-239.