Electron. J. Linear Algebra 11, 281-291, electronic only (2004)
Summary
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).
