Climbing LP Algorithms
December 31, 2020 Β· Declared Dead Β· π Symposium on the Theory of Computing
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Authors
Leonid A. Levin
arXiv ID
2101.00101
Category
cs.DS: Data Structures & Algorithms
Cross-listed
math.OC
Citations
0
Venue
Symposium on the Theory of Computing
Last Checked
4 months ago
Abstract
NP (search) problems allow easy correctness tests for solutions. Climbing algorithms allow also easy assessment of how close to yielding the correct answer is the configuration at any stage of their run. This offers a great flexibility, as how sensible is any deviation from the standard procedures can be instantly assessed. An example is the Dual Matrix Algorithm (DMA) for linear programming, variations of which were considered by A.Y. Levin in 1965 and by Yamnitsky and myself in 1982. It has little sensitivity to numerical errors and to the number of inequalities. It offers substantial flexibility and, thus, potential for further developments.
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