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/