Geodesic
On the condition number of matrices occurring in problems of generation of functions of many variables
Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 6 (2003) no. 2, pp. 159-169

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The solvability of the problem of the differentially conditioned generation of a function of many variables in $R_m$ is examined. With dimension $m\geq 2$, one can say about the probabilistic solution only. It is shown that the probability to have an unambiguous solution is close to unit in the case of the analytical basis functions. 
@article{SJVM_2003_6_2_a5,
     author = {V. A. Leus},
     title = {On the condition number of matrices occurring in problems of generation of functions of many variables},
     journal = {Sibirskij \v{z}urnal vy\v{c}islitelʹnoj matematiki},
     pages = {159--169},
     publisher = {mathdoc},
     volume = {6},
     number = {2},
     year = {2003},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SJVM_2003_6_2_a5/}
}
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V. A. Leus. On the condition number of matrices occurring in problems of generation of functions of many variables. Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 6 (2003) no. 2, pp. 159-169. http://geodesic.mathdoc.fr/item/SJVM_2003_6_2_a5/