Geodesic
Krein spaces numerical ranges and their computer generation
The electronic journal of linear algebra, Tome 17 (2008), pp. 192-208.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: Let J be an involutive Hermitian matrix with signature (t, n - t), $0 \leq t \leq n$, that is, with t positive and n - t negative eigenvalues. The Krein space numerical range of a complex matrix A of size n is the collection of complex numbers of the form $\xi \ast $JA$\xi \xi \ast J\xi $, with $\xi \in C$ n and $\xi \ast J\xi = 0$. In this note, a class of tridiagonal matrices with hyperbolical numerical range is investigated. A Matlab program is developed to generate Krein spaces numerical ranges in the finite dimensional case.
Classification : 15A60, 15A63
Keywords: krein spaces, numerical range, tridiagonal matrices 
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     title = {Krein spaces numerical ranges and their computer generation},
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Bebiano, Natalia; da Providência, Joao; Nata, Ana Cristina; da Graca Pereira Soares, Maria. Krein spaces numerical ranges and their computer generation. The electronic journal of linear algebra, Tome 17 (2008), pp. 192-208. http://geodesic.mathdoc.fr/item/ELA_2008__17__a30/