Sign patterns allowing nilpotence of index 3

✍ Scribed by Yubin Gao; Zhongshan Li; Yanling Shao

• Publisher: Elsevier Science
• Year: 2007
• Tongue: English
• Weight: 171 KB
• Volume: 424
• Category: Article
• ISSN: 0024-3795
• DOI: 10.1016/j.laa.2006.03.038

✦ Synopsis

Suppose P is a property referring to a real matrix. We say that a sign pattern A allows P if there exists at least one matrix with the same sign pattern as A that has the property P. In this paper, we study sign patterns allowing nilpotence of index 3. Four methods for constructing sign patterns that allow nilpotence of index 3 are obtained. All tree sign patterns that allow nilpotence of index 3 are characterized. Sign patterns of order 3 that allow nilpotence are identified.