Sign patterns that allow diagonalizability revisited

Autor:	Jun Luo, Yubin Gao, Ting-Zhu Huang, Xin-Lei Feng, Zhongshan Li
Rok vydání:	2013
Předmět:	Discrete mathematics Pure mathematics Algebra and Number Theory Maximum rank Open problem Order up to Characterization (mathematics) Sign (mathematics) Mathematics
Zdroj:	Linear and Multilinear Algebra. 61:1223-1233
ISSN:	1563-5139 0308-1087
DOI:	10.1080/03081087.2012.746329
Popis:	Characterization of sign patterns that allow diagonalizability has been a long-standing open problem. In this article, necessary and sufficient conditions for a sign pattern to allow diagonalizability are obtained, in terms of allowing related properties. Some properties of normal sign patterns are considered. In particular, it is shown that normal sign patterns of order up to 3 allow diagonalizability. Two combinatorial necessary conditions for a sign pattern to allow diagonalizability are also presented.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::e730388cf9c4fea4eb0365d96e29eb89 https://doi.org/10.1080/03081087.2012.746329 Zobrazit plný text záznamu