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Convexity of the Krein space tracial numerical range and Morse theory

Autor: Nakazato, Hiroshi, Bebiano, Natália, Providência, João da

Publikováno v: Repositório Científico de Acesso Aberto de Portugal
Repositório Científico de Acesso Aberto de Portugal (RCAAP)
instacron:RCAAP

In this paper we present a Krein space convexity theorem on the tracial-numerical range of a matrix. This theorem is the analogue of Westwick's theorem. The proof is an application of Morse theory.

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=dedup_wf_001::bf13ff8dae42e35eb71326497ccc62bd

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The boundary of the Krein space tracial numerical range, an algebraic approach and a numerical algorithm

Autor: J. da Providencia, Hiroshi Nakazato, A. Nata, Natália Bebiano

Publikováno v: Repositório Científico de Acesso Aberto de Portugal
Repositório Científico de Acesso Aberto de Portugal (RCAAP)
instacron:RCAAP

In this article, tracial numerical ranges associated with matrices in an indefinite 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

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f481d1deff1d7d64607a11ce9222d07a
https://hdl.handle.net/10316/13644

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