Publisher DOI: 10.1016/0377-0427(94)00092-F
Title: Verified solution of large systems and global optimization problems
Language: English
Authors: Rump, Siegfried M.  
Keywords: Banded and sparse systems;Global optimization;Result verification
Issue Date: 20-Jun-1995
Publisher: North-Holland
Source: Journal of Computational and Applied Mathematics 60 (1-2): 201-218 (1995-06-20)
Journal or Series Name: Journal of computational and applied mathematics 
Abstract (english): 
Recent results on the solution of large, banded or sparse systems and on global unconstrained optimization problems including verification of the correctness of the result will be discussed. The computing time for the verification for large linear systems is the same as for the decomposition, the total computational effort for verifying the global optimum value is for well-known test examples competitive to those of pure floating point algorithms. Computational examples will be demonstrated.
ISSN: 0377-0427
Institute: Zuverlässiges Rechnen E-19 
Document Type: Article
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