± sign pattern matrices that allow orthogonality |
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| Authors: | Yanling Shao Liang Sun Yubin Gao |
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| Institution: | (1) Department of Mathematics, North University of China, Taiyuan, Shanxi, 030051, P. R. China;(2) Department of Applied Mathematics, Beijing Institute of Technology, Beijing, 100081, P. R. China |
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| Abstract: | A sign pattern A is a ± 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 ± sign patterns with n − 1 ⩽ N−(A) ⩽ n + 1 to allow orthogonality. |
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| Keywords: | sign pattern orthogonality orthogonal matrix |
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