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RATIONAL ORTHOGONAL VERSUS REAL ORTHOGONAL

Dokovic, DZ; Severini, S; Szollosi, F; (2009) RATIONAL ORTHOGONAL VERSUS REAL ORTHOGONAL. ELECTRON J LINEAR AL , 18 649 - 673. Gold open access

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
URI: http://discovery.ucl.ac.uk/id/eprint/139248
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