A Survey of Classes of Matrices Possessing the Interval Property and Related Properties

Garloff, Jürgen; Adm, Mohammad; Titi, Jihad

A Survey of Classes of Matrices Possessing the Interval Property and Related Properties

Files

Garloff_0-310468.pdf(454.53 KB)

Date

2015

Authors

Garloff, Jürgen

Adm, Mohammad

Titi, Jihad

Series

Konstanzer Schriften in Mathematik; 344

Publication type

Working Paper/Technical Report

Publication status

Published

Abstract

This paper considers intervals of real matrices with respect to partial orders and the problem to infer from some exposed matrices lying on the boundary of such an interval that all real matrices taken from the interval possess a certain property. In many cases such a property requires that the chosen matrices have an identically signed inverse. We also briefly survey related problems, e.g., the invariance of matrix properties under entry-wise perturbations.

Subject (DDC)

510 Mathematics

Cite This

ISO 690

GARLOFF, Jürgen, Mohammad ADM, Jihad TITI, 2015. A Survey of Classes of Matrices Possessing the Interval Property and Related Properties

BibTex

@techreport{Garloff2015Surve-32286,
  year={2015},
  series={Konstanzer Schriften in Mathematik},
  title={A Survey of Classes of Matrices Possessing the Interval Property and Related Properties},
  number={344},
  author={Garloff, Jürgen and Adm, Mohammad and Titi, Jihad}
}

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