|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|
|Appears in Collections:||Publications without fulltext|
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