On a result of Williamson.
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Gong, Ming-Peng (1996)
Portugaliae Mathematica
Oliveira, Graciano N. de, Dias da Silva, J.A. (1985/1986)
Portugaliae mathematica
Şochichiu, Corneliu (2009)
APPS. Applied Sciences
M. Marcus, William R. Gordon (1972)
Monatshefte für Mathematik
Monov, V., Tsatsomeros, M. (2004)
ELA. The Electronic Journal of Linear Algebra [electronic only]
Werner Bäni, Herbert Gross (1978)
Mathematische Zeitschrift
Civciv, Hacı, Türkmen, Ramazan (2006)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
Kılıçman, Adem, Zhour, Zeyad Al (2009)
Journal of Inequalities and Applications [electronic only]
Xu, Jianhong (2010)
ELA. The Electronic Journal of Linear Algebra [electronic only]
Heinz Neudecker (2003)
SORT
The article establishes relationships between the matrix derivatives of F with respect to X as introduced by von Rosen (1988), Kollo and von Rosen (2000) and the Magnus-Neudecker (1999) matrix derivative. The usual transformations apply and the Moore-Penrose inverse of the duplication matrix is used. Both X and F have the same dimension.
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