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

Dateien

GAT.pdfGröße: 379.51 KBDownloads: 158

Datum

2016

Open Access-Veröffentlichung

Open Access Green

Sammlungen

Mathematik und Statistik
Zukunftskolleg

Publikationstyp

Zeitschriftenartikel

Publikationsstatus

Published

Erschienen in

Reliable Computing. 2016, 22, pp. 1-14. ISSN 1385-3139. eISSN 1573-1340

Zusammenfassung

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.

Fachgebiet (DDC)

510 Mathematik

Schlagwörter

matrix interval, vertex matrix, entry-wise perturbation

Zitieren

ISO 690

GARLOFF, Jürgen, Mohammad ADM, Jihad TITI, 2016. A Survey of Classes of Matrices Possessing the Interval Property and Related Properties. In: Reliable Computing. 2016, 22, pp. 1-14. ISSN 1385-3139. eISSN 1573-1340

BibTex

@article{Garloff2016Surve-32257,
  year={2016},
  title={A Survey of Classes of Matrices Possessing the Interval Property and Related Properties},
  url={http://interval.louisiana.edu/reliable-computing-journal/volume-22/reliable-computing-22-pp-001-014.pdf},
  volume={22},
  issn={1385-3139},
  journal={Reliable Computing},
  pages={1--14},
  author={Garloff, Jürgen and Adm, Mohammad and Titi, Jihad}
}

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URL der Originalveröffentl.

http://interval.louisiana.edu/reliable-computing-journal/volume-22/reliable-computing-22-pp-001-014.pdf

Prüfdatum der URL

2017-01-16

Universitätsbibliographie

Ja