1. $\pm$ sign pattern matrices that allow orthogonality
- Creator:
- Shao, Yanling, Sun, Liang, and Gao, Yubin
- Format:
- bez média and svazek
- Type:
- model:article and TEXT
- Subject:
- sign pattern, orthogonality, and orthogonal matrix
- Language:
- English
- Description:
- A sign pattern $A$ is a $\pm $ sign pattern if $A$ has no zero entries. $A$ allows orthogonality if there exists a real orthogonal matrix $B$ whose sign pattern equals $A$. Some sufficient conditions are given for a sign pattern matrix to allow orthogonality, and a complete characterization is given for $\pm $ sign patterns with $n-1 \le N_-(A) \le n+1$ to allow orthogonality.
- Rights:
- http://creativecommons.org/publicdomain/mark/1.0/ and policy:public