Accession Number:

ADA046434

Title:

Hidden Z-Matrices with Positive Principal Minors.

Descriptive Note:

Technical summary rept.,

Corporate Author:

WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER

Personal Author(s):

Report Date:

1977-07-01

Pagination or Media Count:

21.0

Abstract:

Let C denote the class of hidden Z-matrices, i.e., M an element of C if and only if there exist Z-matrices X and Y such that the following two conditions are satisfied MX Y and rTransposeX sTransposeY 0 for some r,s or 0. Let P denote the class of real square matrices having positive principal minors. The class C arises recently as a generalization of the class of Z-matrices. In this paper, various matrix-theoretic aspects of the class C intersecting with P are examined.

Subject Categories:

  • Theoretical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE