Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9501282 | Journal of Complexity | 2005 | 16 Pages |
Abstract
Recently we developed a diagonal homotopy method to compute a numerical representation of all positive dimensional components in the intersection of two irreducible algebraic sets. In this paper, we rewrite this diagonal homotopy in intrinsic coordinates, which reduces the number of variables, typically in half. This has the potential to save a significant amount of computation, especially in the iterative solving portion of the homotopy path tracker. Three numerical experiments all show a speedup of about a factor two.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Andrew J. Sommese, Jan Verschelde, Charles W. Wampler,