The linear interpolation problem (LIP) for a class of matrices G asks for which pairs of vectors x, y there exists a matrix A is an element of G such that Ax = y. The LIP is solved for M-matrices, P-matrices, H-matrices, and H+-matrices. In addition, a transformational characterization is given for M-matrices that refines the known one for P-matrices. There is no such characterization for H- or H+-matrices. (C) 2001 Elsevier Science Inc. All rights reserved. [References: 3]
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