Geodesic
± sign pattern matrices that allow orthogonality
Czechoslovak Mathematical Journal, Tome 56 (2006) no. 3, pp. 969-979.

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

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.
Classification : 15A18, 15A36, 15A48, 15A99
Mots-clés : sign pattern; orthogonality; orthogonal matrix 
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     author = {Shao, Yanling and Sun, Liang and Gao, Yubin},
     title = {$\pm$ sign pattern matrices that allow orthogonality},
     journal = {Czechoslovak Mathematical Journal},
     pages = {969--979},
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     zbl = {1164.15327},
     language = {en},
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Shao, Yanling; Sun, Liang; Gao, Yubin. $\pm$ sign pattern matrices that allow orthogonality. Czechoslovak Mathematical Journal, Tome 56 (2006) no. 3, pp. 969-979. https://geodesic-test.mathdoc.fr/item/CMJ_2006__56_3_a15/