Dokovic, DZ and Severini, S and Szollosi, F (2009) RATIONAL ORTHOGONAL VERSUS REAL ORTHOGONAL. ELECTRON J LINEAR AL , 18 649 - 673.
Abstract
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.
| Type: | Article |
|---|---|
| Title: | RATIONAL ORTHOGONAL VERSUS REAL ORTHOGONAL |
| Open access status: | An open access publication |
| Publisher version: | http://www.math.technion.ac.il/iic/ela/ |
| 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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