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

نویسندگان

  • Charles R. Johnson
  • Ronald L. Smith
چکیده

The linear interpolation problem (LIP) for a class of matrices C asks for which pairs of vectors x, y there exists a matrix A ∈ C 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 Hor H+-matrices. © 2001 Elsevier Science Inc. All rights reserved.

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تاریخ انتشار 2001