Partial \(P\)-matrices of associated graph. (English) Zbl 1326.15040
Summary: We analyze the positive (sign-symmetric) \(P\)-matrix completion problem when the pattern of the partial matrix is nonsymmetric. Every positive partial \(P\)-matrix \(A\) has a positive \(P\)-matrix completion when the associated graph of the specified entries of \(A\), \(G_A\) is acyclic.
MSC:
15A83 | Matrix completion problems |
15B48 | Positive matrices and their generalizations; cones of matrices |
15B35 | Sign pattern matrices |