Name
Abstract | ||
|---|---|---|
Homotopy continuation methods have proven to be reliable and efficient to approximate all isolated solutions of polynomial systems. In this paper we show how we can use this capability as a blackbox device to solve systems which have positive dimensional components of solutions. We indicate how the software package PHCpack can be used in conjunction with Maple and programs written in C. We describe a numerically stable algorithm for decomposing positive dimensional solution sets of polynomial systems into irreducible components. |
Year | DOI | Venue |
|---|---|---|
2003 | 10.1007/978-3-662-05148-1_6 | ALGEBRA, GEOMETRY, AND SOFTWARE SYSTEMS |
Keywords | Field | DocType |
homotopy continuation,interfaces,numerical algebraic geometry,polynomial system,software | Irreducible component,Polynomial,Algebra,n-connected,Solution set,Homotopy,Regular homotopy,Homotopy analysis method,Mathematics,Homotopy lifting property | Conference |
Citations | PageRank | References |
14 | 0.93 | 17 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Andrew J. Sommese | 1 | 412 | 39.68 |
| Jan Verschelde | 2 | 676 | 64.84 |
| Charles W. Wampler | 3 | 410 | 44.13 |