Name
Abstract | ||
|---|---|---|
A ± sign pattern is a matrix whose entries are in the set {+,−}. An n×n ± sign pattern A allows orthogonality if there exists a real orthogonal matrix B in the qualitative class of A. In this paper, we prove that for n≥3 there is an n×n ± sign pattern A allowing orthogonality with exactly k negative entries if and only if n−1≤k≤n2−n+1. |
Year | DOI | Venue |
|---|---|---|
2004 | 10.1007/s00373-004-0575-y | Graphs and Combinatorics |
Keywords | Field | DocType |
� sign pattern,sign pattern,orthogonal matrix,k negative entry,real orthogonal matrix b,qualitative class,negative entries | Sign (mathematics),Discrete mathematics,Combinatorics,Orthogonal matrix,Existential quantification,Matrix (mathematics),Orthogonality,If and only if,Mathematics | Journal |
Volume | Issue | ISSN |
20 | 3 | 0911-0119 |
Citations | PageRank | References |
0 | 0.34 | 1 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Yu-Bin Gao | 1 | 6 | 7.70 |
| Yanling Shao | 2 | 4 | 4.96 |