We establish some criteria for a nonsingular square matrix depending on several parameters to be represented in the form of a matrix product of factors which depend on the single parameters.
@article{107440, author = {Jarom\'\i r \v Sim\v sa}, title = {Some factorizations of matrix functions in several variables}, journal = {Archivum Mathematicum}, volume = {028}, year = {1992}, pages = {85-94}, zbl = {0784.15006}, mrnumber = {1201870}, language = {en}, url = {http://dml.mathdoc.fr/item/107440} }
Šimša, Jaromír. Some factorizations of matrix functions in several variables. Archivum Mathematicum, Tome 028 (1992) pp. 85-94. http://gdmltest.u-ga.fr/item/107440/
Recherches sur la courbe que forme une corde tendue mise en vibration I – II, Hist. Acad. Berlin (1747), 214-249. (1747)
Decomposable functions of several variables, Aequationes Math. 40 (1990), 8-25. (1990) | MR 1055187
Decomposition of smooth functions of two multidimensional variables, Czechoslovak Math. J. 41(116) (1991), 342-358. (1991) | MR 1105450
Sums of products of functions of $x$ times functions of $y$, Linear Algebra Appl. 125 (1989), 19-63. (1989) | MR 1024482
Factorizations of matrices and functions of two variables, Czechoslovak Math. J. 32(107) (1982), 582-588. (1982) | MR 0682133 | Zbl 0517.15012
Finite sums of products of functions in single variables, Linear Algebra Appl. 134 (1990), 153-164. (1990) | MR 1060018 | Zbl 0714.26007
Functions decomposable into finite sums of products, in “Constantin Carathéodory: An International Tribute”, World Scientific Publ. Co., 1991, pp. 956-963. (1991) | MR 1130873
A criterion for a function to be represented as a sum of products of factors, Bull. Inst. Math. Acad. Sinica 14 (1986), 377-382. (1986) | MR 0885367 | Zbl 0643.26009
Sur une categorie d’équations fonctionelles, in Rend. Circ. Mat. Palermo 18 (1904), 360-362. (1904)