A continuation method to solve polynomial systems and its complexity
Author:
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Computational Mathematics
Link
http://link.springer.com/content/pdf/10.1007/s00211-010-0334-3.pdf
Reference29 articles.
1. Beltrán, C., Dedieu, J.-P., Malajovich, G., Shub, M.: Convexity properties of the condition number II (2010) to appear
2. Beltrán C., Dedieu J.-P., Malajovich G., Shub M.: Convexity properties of the condition number. SIAM J. Matrix Anal. Appl. 31(3), 1491–1506 (2010)
3. Beltrán, C., Leykin, A.: Certified numerical homotopy tracking (2010) to appear
4. Beltrán, C., Pardo, L.M.: Fast linear homotopy to find approximate zeros of polynomial systems. Found. Comput. Math. (2010) to appear
5. Beltrán C., Pardo L.M.: On Smale’s 17th problem: a probabilistic positive solution. Found. Comput. Math. 8(1), 1–43 (2008)
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