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ICPPW
2006
IEEE
14 years 1 months ago
Parallel Implementation of the Polyhedral Homotopy Method
Homotopy methods to solve polynomial systems are well suited for parallel computing because the solution paths defined by the homotopy can be tracked independently. For sparse po...
Jan Verschelde, Yan Zhuang
ADG
2006
Springer
220views Mathematics» more  ADG 2006»
14 years 1 months ago
Cylinders Through Five Points: Complex and Real Enumerative Geometry
It is known that five points in 3 generically determine a finite number of cylinders containing those points. We discuss ways in which it can be shown that the generic (complex) nu...
Daniel Lichtblau
ELPUB
2006
ACM
14 years 1 months ago
Knowledge-Based Search in Collections of Digitized Manuscripts: First Results
The paper presents in brief a methodology for development of tools for knowledge-based search in repositories of digitized manuscripts. It is designated to assist the search activ...
Pavel Pavlov, Maria Nisheva-Pavlova
ICPPW
2005
IEEE
14 years 1 months ago
Factoring Solution Sets of Polynomial Systems in Parallel
We report on a £rst parallel implementation of a recent algorithm to factor positive dimensional solution sets of polynomial systems. As the algorithm uses homotopy continuation,...
Anton Leykin, Jan Verschelde
IPPS
2005
IEEE
14 years 1 months ago
Evaluation of Rate-Based Adaptivity in Asynchronous Data Stream Joins
Continuous query systems are an intuitive way for users to access streaming data in large-scale scientific applications containing many hundreds of streams. A challenge in these ...
Beth Plale, Nithya N. Vijayakumar