On P-matrices

Publikationstyp
Journal Article
Date Issued
2002-01-10
Sprache
English
Author(s)
Rump, Siegfried M.  orcid-logo
Institut
Zuverlässiges Rechnen E-19  
TORE-URI
http://hdl.handle.net/11420/8726
Journal
Linear algebra and its applications  
Volume
363
Start Page
237
End Page
250
Citation
Linear Algebra and Its Applications (363): 237-250 (2003-04-01)
Publisher DOI
10.1016/S0024-3795(01)00590-0
Scopus ID
2-s2.0-84867971821
Publisher
American Elsevier Publ.
We present some necessary and sufficient conditions for a real matrix to be a P-matrix. They are based on the sign-real spectral radius and regularity of a certain interval matrix. We show that no minor can be left out when checking for P-property. Furthermore, a not necessarily exponential method for checking the P-property is given.
Subjects
P-matrix
P-problem
Sign-real spectral radius
DDC Class
004: Informatik
510: Mathematik