Skip to main content
Article thumbnail
Location of Repository

PRODUCTS OF M-MATRICES AND NESTED SEQUENCES OF PRINCIPAL MINORS ∗

By D. A. Grundy, C. R. Johnson, D. D Olesky and P. Van Den Driessche

Abstract

Abstract. The question of whether or not the product of two nonsingular n-by-nM-matrices has a nested sequence of positive principal minors (abbreviated to a nest) is considered. For n =2, 3, 4 such a product always has a nest, and this is conjectured for n = 5. For general n, examplesof products of two M-matrices with specified structure are identified as having a leading or trailing nest. For n = 4, it is shown that the cube of an M-matrix need not have a nest. Key words. M-matrix, Nested sequence of principal minors, P-matrix. AMS subject classifications. 15A15

Year: 2011
OAI identifier: oai:CiteSeerX.psu:10.1.1.193.2462
Provided by: CiteSeerX
Download PDF:
Sorry, we are unable to provide the full text but you may find it at the following location(s):
  • http://citeseerx.ist.psu.edu/v... (external link)
  • http://www.math.technion.ac.il... (external link)
  • Suggested articles


    To submit an update or takedown request for this paper, please submit an Update/Correction/Removal Request.