Date of Award
12-11-2017
Degree Type
Thesis
Degree Name
Master of Science (MS)
Department
Mathematics and Statistics
First Advisor
Frank Hall
Second Advisor
Zhongshan Li
Abstract
This thesis builds upon the results in “G-matrices, J-orthogonal matrices, and their sign patterns”, Czechoslovak Math. J. 66 (2016), 653-670, by Hall and Rozloˇzn ́ık. Some general results about the sign patterns of J-orthogonal matrices are proved, including about block diagonal matrices. It is shown that every full 4 × 4 sign pattern allows J -orthogonality and as a result that, for n ≤ 4, all n × n full sign patterns allow a J-orthogonal matrix as well as a G-matrix. The 3 × 3 sign patterns of the J -orthogonal matrices which have zero entires are also characterized.
DOI
https://doi.org/10.57709/11203137
Recommended Citation
Parnass, Caroline, "Sign Patterns of J-orthogonal Matrices." Thesis, Georgia State University, 2017.
doi: https://doi.org/10.57709/11203137