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Bounds for the determinant by Gershgorin circles
Publikationstyp
Journal Article
Date Issued
2019-02-15
Sprache
English
Author(s)
Institut
TORE-URI
Volume
563
Start Page
215
End Page
219
Citation
Linear Algebra and Its Applications (563): 215-219 (2019-02-15)
Publisher DOI
Scopus ID
Each connected component of the Gershgorin circles of a matrix contains exactly as many eigenvalues as circles are involved. Thus the power set product of all circles is an inclusion of the determinant if all circles are disjoint. We prove that statement to be true for real matrices, even if their circles overlap.
DDC Class
600: Technology