Document Zbl 1326.15040

Partial \(P\)-matrices of associated graph. (English) Zbl 1326.15040

J. Indian Acad. Math. 37, No. 1, 75-82 (2015).

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

Keywords:

\(P\)-matrix; partial matrix; graphs; completion problem; positive sign-symmetric \(P\)-matrix; nonsymmetric pattern

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