Hidden Z-Matrices with Positive Principal Minors.

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 r(Transpose)X + s(Transpose)Y > 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.

Open PDF

Document Details

Document Type
Technical Report
Publication Date
Jul 01, 1977
Accession Number
ADA046434

Entities

People

  • Jong-shi Pang

Organizations

  • University of Wisconsin–Madison

Tags

Communities of Interest

  • Counter IED

DTIC Thesaurus Topics

  • Algebra
  • Algorithms
  • Applied Mathematics
  • Computer Programming
  • Contracts
  • Evolutionary Algorithms
  • Linear Algebra
  • Linear Programming
  • Mathematical Programming
  • Mathematics
  • Matrix Theory
  • North Carolina
  • Numerical Analysis
  • Operations Research
  • Theorems
  • United States
  • Wisconsin

Fields of Study

  • Mathematics

Readers

  • Analytical Mechanics
  • Mathematical Modeling and Probability Theory.