A geometric approach for computing a posteriori error bounds for the solution of a linear system |
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Authors: | Dr C Jansson |
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Affiliation: | 1. Informatik III, Technische Universit?t, Ei?endorfer Stra?e 38, D-W-2100, Hamburg-Harburg 90, Federal Republic of Germany
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Abstract: | A geometric approach for calculating guaranteed error bounds for the solution of a linear system is presented. The error bounds are derived by simple geometric properties of the theory of convex polyhedrons. This approach basically differs from other well-known techniques and gives an optimal geometric characterization of the error bounds. |
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