Abstract | ||
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Globally, the solution set of a system of polynomial equations with complex coefficients can be decomposed into irreducible components. Using numerical algebraic geometry, each irreducible component is represented using a witness set thereby yielding a numerical irreducible decomposition of the solution set. Locally, the irreducible decomposition can be refined to produce a local irreducible decomposition. We define local witness sets and describe a numerical algebraic geometric approach for computing a numerical local irreducible decomposition for polynomial systems. Several examples are presented. |
Year | DOI | Venue |
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2015 | 10.1007/978-3-319-32859-1_9 | MACIS |
DocType | Citations | PageRank |
Conference | 2 | 0.38 |
References | Authors | |
0 | 3 |
Name | Order | Citations | PageRank |
---|---|---|---|
Daniel A. Brake | 1 | 17 | 3.56 |
Jonathan D. Hauenstein | 2 | 269 | 37.65 |
Andrew J. Sommese | 3 | 412 | 39.68 |