Abstract
For evaluation of arithmetical expressions using multiple precision floating-point arithmetic, a method is given to automatically perform error cumulation control prior to the actual computations. Individual errors and their effects are identified,
and it is shown how to compute these effects efficiently via automatic differentiation. In the presented approach these effects we used to determine which precisions have to be chosen during the real computations, in order to limit error cumulation to admissible, user chosen error bounds.
and it is shown how to compute these effects efficiently via automatic differentiation. In the presented approach these effects we used to determine which precisions have to be chosen during the real computations, in order to limit error cumulation to admissible, user chosen error bounds.
Original language | English |
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Title of host publication | ISSAC'91 |
Subtitle of host publication | Proceedings of the 1991 International Symposium on Symbolic and Algebraic Computation 1991 |
Place of Publication | New York, NY |
Publisher | Association for Computing Machinery (ACM) |
Pages | 414-418 |
Number of pages | 5 |
ISBN (Print) | 9780897914376 |
DOIs | |
Publication status | Published - 1 Sep 1991 |
Event | International Symposium on Symbolic and Algebraic Computation, ISSAC 1991 - Bonn, Germany Duration: 15 Jul 1991 → 17 Jul 1991 |
Conference
Conference | International Symposium on Symbolic and Algebraic Computation, ISSAC 1991 |
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Abbreviated title | ISSAC |
Country/Territory | Germany |
City | Bonn |
Period | 15/07/91 → 17/07/91 |