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Title: The boundary of the Krein space tracial numerical range, an algebraic approach and a numerical algorithm
Authors: Bebiano, N. 
Nakazato, H. 
Nata, A. 
Providência, J. da 
Keywords: Numerical range; Inde nite inner product; J-Hermitian matrix; Non-interlacing eigenvalues
Issue Date: 2009
Publisher: Centro de Matemática da Universidade de Coimbra
Citation: Pré-Publicações DMUC. 09-35 (2009)
Serial title, monograph or event: Pré-Publicações DMUC
Issue: 09-35
Place of publication or event: Coimbra
Abstract: In this article, tracial numerical ranges associated with matrices in an inde nite inner product space are investigated. The boundary equations of these sets are obtained and the case of the boundary being a polygon is studied. As an application, a numerical algorithm for plotting the tracial numerical range of an arbitrary complex matrix, is presented. Our approach uses the elementary idea that the boundary may be traced by computing the supporting lines.
Rights: openAccess
Appears in Collections:FCTUC Física - Vários
FCTUC Matemática - Vários

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