User menu

Accès à distance ? S'identifier sur le proxy UCLouvain

On the factorization of hyperbolic and unitary transformations into rotations

Primary tabs

Stewart, Michaël [GSU] Van Dooren, Paul [UCL]

This paper presents a Σ-unitary analogue to the CS decomposition of a partitioned unitary matrix. The hyperbolic rotations revealed by the decomposition are shown to be optimal in that, among a broader class of decompositions of Σ-unitary matrices into elementary hyperbolic rotations, they are the smallest possible in a sum-of-squares sense. A similar optimality property is shown to hold for the sines in the CS decomposition of a unitary matrix.

Document type Article de périodique (Journal article)
Publication date 2006
Language Anglais
Journal information "SIAM Journal on Matrix Analysis and Applications" - Vol. 27, no. 3, p. 876-890 (2006)
Peer reviewed yes
issn 0895-4798
e-issn 1095-7162
Publication status Publié
Affiliations GSU - Department of Mathematics
UCL - FSA/INMA - Département d'ingénierie mathématique
Links
Bibliographic reference Stewart, Michaël ; Van Dooren, Paul. On the factorization of hyperbolic and unitary transformations into rotations. In: SIAM Journal on Matrix Analysis and Applications, Vol. 27, no. 3, p. 876-890 (2006)
Permanent URL http://hdl.handle.net/2078.1/79942