4.5 Article

Inverse M-matrices, II

期刊

LINEAR ALGEBRA AND ITS APPLICATIONS
卷 435, 期 5, 页码 953-983

出版社

ELSEVIER SCIENCE INC
DOI: 10.1016/j.laa.2011.02.016

关键词

M-matrix; Inverse M-matrix; Path product matrix; Diagonal scaling; Determinantal inequalities; Matrix completion problem

资金

  1. National Science Foundation [DMS 92-00899]
  2. Office of Naval Research [N00014-90-J1739]
  3. University of Chattanooga Foundation

向作者/读者索取更多资源

This is an update of the 1981 survey by the first author. In the meantime, a considerable amount has been learned about the very special structure of the important class of inverse M-matrices. Developments since the earlier survey are emphasized, but we have tried to be somewhat complete; and, some results have not previously been published. Some proofs are given where appropriate and references are given for others. After some elementary preliminaries, results are grouped by certain natural categories. (C) 2011 Elsevier Inc. All rights reserved.

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