Please use this identifier to cite or link to this item:
https://hdl.handle.net/10316/11425
Title: | On Fiedler's characterization of tridiagonal matrices over arbitrary fields | Authors: | Bento, Américo Duarte, António Leal |
Issue Date: | 2003 | Publisher: | Centro de Matemática da Universidade de Coimbra | Citation: | Pré-Publicações DMUC. 03-30 (2003) | Abstract: | M. Fiedler proved in [1] that the set of real n-by-n symmetric matrices A such that rank(A + D) ≥ n - 1 for every real diagonal matrix D is the set of matrices PT PT where P is a permutation matrix and T an irreducible tridiagonal matrix. We show that this result remains valid for arbitrary fields with some exceptions for 5-by-5 matrices over Z3 | URI: | https://hdl.handle.net/10316/11425 | Rights: | openAccess |
Appears in Collections: | FCTUC Matemática - Artigos em Revistas Nacionais |
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On Fiedler's characterization of tridiagonal matrices.pdf | 153.34 kB | Adobe PDF | View/Open |
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