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https://hdl.handle.net/10316/13644
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. | URI: | https://hdl.handle.net/10316/13644 | Rights: | openAccess |
Appears in Collections: | FCTUC Física - Vários FCTUC Matemática - Vários |
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The boundary of the Krein space tracial numerical range.pdf | 230.67 kB | Adobe PDF | View/Open |
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