Indefinite numerical range of $3\times 3$ matrices

Title:

Indefinite numerical range of $3\times 3$ matrices

Creator:

Bebiano, N., da Providência, J., and Teixeira, R.

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:cca1171e-7d92-4247-898a-ac58434b28e4
uuid:cca1171e-7d92-4247-898a-ac58434b28e4

Subject:

indefinite numerical range, indefinite inner product space, and plane algebraic curve

Type:

model:article and TEXT

Format:

bez média and svazek

Description:

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 $3\times 3$ 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.

Language:

English

Rights:

http://creativecommons.org/publicdomain/mark/1.0/
policy:public

Coverage:

221-239

Source:

Czechoslovak Mathematical Journal | 2009 Volume:59 | Number:1

Harvested from:

CDK

Metadata only:

false