Geodesic
Interpolation by matrices
The electronic journal of linear algebra, Tome 11 (2004), pp. 281-291.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: Assume that two sets of k vectors in Rn are given, namely ${x1, . . . , xk} and{ y1, . . . , yk}$, and a class of matrices, e.g., positive definite matrices, positive matrices, strictly totally positive matrices, or P-matrices. The question considered in this paper is that of determining necessary and sufficient conditions on these sets of vectors such that there exists an n * n matrix A in the given class satisfying Axj = yj (j = 1, . . . , k).
Classification : 15A04, 15A57
Keywords: positive definite matrices, positive matrices, strictly totally positive matrices, P-matrices 
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Pinkus, Allan. Interpolation by matrices. The electronic journal of linear algebra, Tome 11 (2004), pp. 281-291. http://geodesic.mathdoc.fr/item/ELA_2004__11__a0/