An interlacing result for Hermitian matrices in Minkowski space
| dc.contributor.author | Van Rensburg, D.B. Janse | en.ZA |
| dc.contributor.author | Ran , A.C.M | en.ZA |
| dc.contributor.author | Van Straaten, M | en.ZA |
| dc.date.accessioned | 2025-10-09T09:05:32Z | en.ZA |
| dc.date.issued | 2024 | en.ZA |
| dc.description | Journal Article, Faculty of Natural and Agricultural Sciences, Pure and Applied Analytics-- Potchefstroom Campus | en.ZA |
| dc.description.abstract | In this paper we will look at the well known interlacing prob-lem, but here we consider the result for Hermitian matrices in the Minkowski space, an indefinite inner product space with one negative square. More specific, we consider the n ×nma-trix A = Ju−u∗a with a ∈R, J=J∗and u ∈Cn−1. Then Ais H-selfadjoint with respect to the matrix H=In−1⊕(−1). The canonical form for the pair (A, H)plays an important role and the sign characteristic coupled to the pair is also discussed. | en.ZA |
| dc.description.sponsorship | Acknowledgement The work of the first and third author is supported in part by the DSI-NRF Centre of Excellence in Mathematical and Statistical Sciences (CoE-MaSS, Grant Number 2022-012-ALG-ILAS). The work of the second author is based on research supported in part by the National Research Foundation of South Africa (Grant Number 145688). | en.ZA |
| dc.identifier.citation | Van Straaten, M. et al. 2024. An interlacing result for Hermitian matrices in Minkowski space. Linear Algebra and its Applications 693 (2024)236–247, [https://doi.org/10.1016/j.laa.2023.07.019] | en.ZA |
| dc.identifier.uri | https://doi.org/10.1016/j.laa.2023.07.019 | en.ZA |
| dc.identifier.uri | http://hdl.handle.net/10394/43584 | en.ZA |
| dc.language.iso | en | en.ZA |
| dc.publisher | Linear Algebra and Its Applications | en.ZA |
| dc.subject | Interlacing | en.ZA |
| dc.subject | Minkowski Space | en.ZA |
| dc.title | An interlacing result for Hermitian matrices in Minkowski space | en.ZA |
| dc.type | Article | en.ZA |