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Simplification of cylindrical algebraic formulas
Chen, Changbo1; Moreno Maza, Marc1,2
2015
摘要For a set S of cells in a cylindrical algebraic decomposition of Rn, we introduce the notion of generalized cylindrical algebraic formula (GCAF) associated with S. We propose a multi-level heuristic algorithm for simplifying the cylindrical algebraic formula associated with S into a GCAF. The heuristic strategies are motivated by solving examples coming from the application of automatic loop transformation. While the algorithm works well on these examples, its effectiveness is also illustrated by examples from other application domains. © 2015 Springer International Publishing Switzerland.
语种英语
DOI10.1007/978-3-319-24021-3_9
会议(录)名称17th International Workshop on Computer Algebra in Scientific Computing, CASC 2015
页码119-134
收录类别EI
会议地点Aachen, Germany
会议日期September 14, 2015 - September 18, 2015