Damres 

Abstract


In this paper we analyze the positive (sign-symmetric) P-matrix completion problem when the pattern of the partial matrix is non-symmetric. We prove that every positive (sign-symmetric) partial P-matrix A has a positive (sign-symmetric) P-matrix completion when the associated graph of the specified entries of A, GA, is acyclic and we study special cases when GA is not acyclic. © 2003 Elsevier Science Inc. All rights reserved.

Keywords


P-matrix Partial matrix Graphs Completion problem

Referencia


C. Jordán, J.R. Torregrosa, A.M. Urbano (2002): Completions of partial P-matrices with acyclic or non-acyclic associated graph. Linear Algebra and its Applications 368 (2003) 25–51.