Minimum Ranks and Refined Inertias of Sign Pattern Matrices

A sign pattern is a matrix whose entries are from the set $\{+, -, 0\}$. This thesis contains problems about refined inertias and minimum ranks of sign patterns. The refined inertia of a square real matrix $B$, denoted $\ri(B)$, is the ordered $4$-tuple $(n_+(B), \ n_-(B), \ n_z(B), \ 2n_p(B))$, whe...

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Bibliographic Details
Main Author: Gao, Wei
Format: Others
Published: ScholarWorks @ Georgia State University 2016
Subjects:
Online Access:http://scholarworks.gsu.edu/math_diss/32
http://scholarworks.gsu.edu/cgi/viewcontent.cgi?article=1033&context=math_diss