Publisher DOI: | 10.1016/j.laa.2017.04.022 | Title: | A short note on the ratio between sign-real and sign-complex spectral radius of a real square matrix | Language: | English | Authors: | Bünger, Florian | Keywords: | Eigenvalue inequalities; Sign-complex spectral radius; Sign-real spectral radius; Spectral radius | Issue Date: | 15-Sep-2017 | Source: | Linear Algebra and Its Applications (529): 126-132 (2017-09-15) | Abstract (english): | For a real (n×n)-matrix A the sign-real and the sign-complex spectral radius – invented by Rump – are respectively defined as ρR(A):=max|λ|||Ax|=|λx|,λ∈R,x∈Rn{0,ρC(A):=max|λ|||Ax|=|λx|,λ∈C,x∈Cn{0. For n≥2 we prove ρR(A)≥ζn ρC(A) where the constant ζn:=[formula omitted] is best possible. |
URI: | http://hdl.handle.net/11420/3852 | ISSN: | 0024-3795 | Journal: | Institute: | Zuverlässiges Rechnen E-19 | Document Type: | Article |
Appears in Collections: | Publications without fulltext |
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