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.
@article{urn:eudml:doc:40445,
title = {On two matrix derivatives by Kollo and von Rosen.},
journal = {SORT},
volume = {27},
year = {2003},
pages = {153-164},
mrnumber = {MR2036658},
zbl = {1274.15040},
language = {en},
url = {http://dml.mathdoc.fr/item/urn:eudml:doc:40445}
}
Neudecker, Heinz. On two matrix derivatives by Kollo and von Rosen.. SORT, Tome 27 (2003) pp. 153-164. http://gdmltest.u-ga.fr/item/urn:eudml:doc:40445/