Linear interpolation problems for matrix classes and a transformational characterization of M-matrices Original Research Article

The linear interpolation problem (LIP) for a class of matrices image asks for which pairs of vectors x, y there exists a matrix image 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.