Publisher DOI: 10.1016/j.laa.2018.10.020
Title: Bounds for the determinant by Gershgorin circles
Language: English
Authors: Rump, Siegfried M. 
Issue Date: 15-Feb-2019
Source: Linear Algebra and Its Applications (563): 215-219 (2019-02-15)
Journal or Series Name: Linear algebra and its applications 
Abstract (english): 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. © 2018 Elsevier Inc.
URI: http://hdl.handle.net/11420/2326
ISSN: 0024-3795
Institute: Zuverlässiges Rechnen E-19 
Type: (wissenschaftlicher) Artikel
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