Dokovic, DZ; Severini, S; Szollosi, F; (2009) RATIONAL ORTHOGONAL VERSUS REAL ORTHOGONAL. ELECTRON J LINEAR AL , 18 649 - 673.
The main question raised here is the following one: Given a real orthogonal n x n matrix X, is it true that there exists a rational orthogonal matrix Y having the same zero-pattern? It is conjectured that this is the case and proved for n <= 5. The related problem for symmetric orthogonal matrices is also considered.
|Title:||RATIONAL ORTHOGONAL VERSUS REAL ORTHOGONAL|
|Open access status:||An open access publication|
|Keywords:||Real and rational orthogonal matrices, Zero-patterns, Combinatorial orthogonality, UNITARY MATRIX|
|UCL classification:||UCL > School of BEAMS > Faculty of Engineering Science > Computer Science|
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