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Title: Validated solution of large linear systems
Language: English
Authors: Rump, Siegfried M. 
Issue Date: 1993
Source: R. Albrecht et al. (eds.): Validation numerics, 1993, pp. 191-212
Abstract (german): Es werden neuartige Methoden vorgestellt zur Berechnung sicherer Schranken der Lösung großer linearer Gleichungssysteme. Die Matrix des Gleichungssystems hat typischerweise Bandstruktur oder ist spärlich besetzt. Es werden keinerlei Voraussetzungen an die Matrix gestellt wie etwa M-Matrix, symmetrisch, positiv definit oder diagnonal dominant. (...) Es werden Beispiele bis Dimension 1.000.000 diskutiert.
Abstract (english): Some new methods will be presented for computing verified inclusions of the solution of large linear systems. The matrix of the linear system is typically of band or sparse structure. There are no prerequisites to the matrix such as being M-matrix, symmetric, positive definite or diagonally dominant. (...) Examples with up to 1.000.000 unknowns will be presented.
DOI: 10.15480/882.326
Institute: Zuverlässiges Rechnen E-19 
Type: InBuch (Kapitel / Teil einer Monographie)
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