Title: An algorithm for the inertia sets of tree sign patterns
Authors: Fonseca, C. M. da 
Mamede, Ricardo 
Keywords: Inertia;Sign pattern matrix;Tridiagonal pattern;Trees;Stars;Double stars;2-generalized stars
Issue Date: 2007
Publisher: Centro de Matemática da Universidade de Coimbra
Citation: Pré-Publicações DMUC. 07-13 (2007)
Abstract: A matrix whose entries are +, ¡ or 0 is said a sign pattern. The inertia set of an n-by-n symmetric sign pattern A is the set of inertias of all real symmetric matrices with the same sign pattern as A. We present an algorithm to compute the inertia set of any symmetric tree (or acyclic) sign pattern. The procedure generalizes some recent results. Some examples are provided.
URI: http://hdl.handle.net/10316/11300
Rights: openAccess
Appears in Collections:FCTUC Matemática - Vários

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