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Peter, Burgisser
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Computing the homology of basic semialgebraic sets in weak exponential time
Bürgisser P., Cucker F., Lairez P. Journal of the ACM 66(1): 1-30, 2019. Type: Article
A semialgebraic set is a subset of a finite-dimensional Euclidean space defined by a finite list of polynomial equalities and inequalities. These sets can be weird, so it desirable to be able to describe their topological shape, in par...
...
Mar 26 2019
Condition: the geometry of numerical algorithms
Bürgisser P., Cucker F., Springer Publishing Company, Incorporated, New York, NY, 2013. 583 pp. Type: Book (978-3-642388-95-8)
Implementing numerical algorithms may require the approximation of numerical quantities, given that computers have only a finite number of bits and real numbers cannot be encoded with a finite number of bits. Growth in computational po...
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Nov 26 2013
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