Geodesic
A new decomposition for square matrices
The electronic journal of linear algebra, Tome 20 (2010), pp. 207-225.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: A new decomposition is derived for any complex square matrix. This decomposition is based on the canonical angles between the column space of this matrix and the column space of its conjugate transpose. Some applications of this factorization are given; in particular some matrix partial orderings and the relationship between the canonical angles and various classes of matrices are studied.
Classification : 15A23, 15A57
Keywords: decomposition of matrices, EP matrices, canonical angles, matrix partial ordering 
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     author = {Benitez, Julio},
     title = {A new decomposition for square matrices},
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     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ELA_2010__20__a38/}
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Benitez, Julio. A new decomposition for square matrices. The electronic journal of linear algebra, Tome 20 (2010), pp. 207-225. http://geodesic.mathdoc.fr/item/ELA_2010__20__a38/