Sets of refined inertias of zero-nonzero patterns

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• 作者：Adam H. Berliner^a ; ^{berliner@stolaf.edu} ; D.D. Olesky^b ; ^{dolesky@cs.uvic.ca} ; P. van den Driessche^c ; ^{pvdd@math.uvic.ca}
• 关键词：15B35 ; 15A18 ; 05C50 ; 05C20
• 刊名：Linear Algebra and its Applications
• 出版年：2017
• 出版时间：1 March 2017
• 年：2017
• 卷：516
• 期：Complete
• 页码：243-263
• 全文大小：425 K
• 卷排序：516

文摘

A set Hn⁎ of refined inertias for zero–nonzero patterns is introduced that is analogous to the set HnHn previously considered for sign patterns. For n=3n=3 and 4, a complete characterization of irreducible zero–nonzero patterns that allow or require Hn⁎ is given, and each zero–nonzero pattern that allows Hn⁎ has a signing that allows HnHn. In contrast, for n≥5n≥5 a family of irreducible zero–nonzero patterns is given that allows Hn⁎ but for which no one signing allows HnHn.