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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Format: | Others |
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ScholarWorks @ Georgia State University
2016
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Online Access: | http://scholarworks.gsu.edu/math_diss/32 http://scholarworks.gsu.edu/cgi/viewcontent.cgi?article=1033&context=math_diss |