On a sufficient condition for commutative orthogonal block structure

Please use this identifier to cite or link to this item: http://hdl.handle.net/20.500.12207/5975

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Title:	On a sufficient condition for commutative orthogonal block structure
Authors:	Santos, Carla Dias, Cristina Nunes, Célia Mexia, João Tiago
Keywords:	B-matrices Mixed models Models with commutative orthogonal block structure
Issue Date:	4-Jul-2017
Citation:	Santos, C., Nunes, C., Dias, C., & Mexia, J. T. (2017). On a sufficient condition for commutative orthogonal block structure. In Proceedings of the 17th International Conference on Computational and Mathematical Methods in Science and Engineering (Vol. 6), CMMSE 2017 (pp. 2227-2288).
Abstract:	A model has orthogonal block structure if it has variancecovariance matrix that is a linear combination of known pairwise orthogonal orthogonal projection matrices that add to the identity matrix. When the orthogonal projection matrix on the space spanned by the mean vector commutes with the orthogonal projection matrices, in the expression of the variance-covariance matrix, the model has commutative orthogonal block structure. Resorting to B-matrices we present a general condition for this commutativity.
Peer reviewed:	yes
URI:	https://hdl.handle.net/20.500.12207/5975
ISBN:	978-84-617-8694-7
ISSN:	2312-0177
Publisher version:	http://cmmse.usal.es/cmmse2017/sites/default/files/volumes/Proceedings_CMMSE_2017_vol_1_6.pdf
Appears in Collections:	D-MCF - Comunicações com peer review