Accelerating polynomial homotopy continuation on a graphics processing unit with double double and quad double arithmetic-Reference-Cited by-同舟云学术

Accelerating polynomial homotopy continuation on a graphics processing unit with double double and quad double arithmetic

Published:2015-07-10 Issue: Volume: Page:
ISSN:
Container-title:Proceedings of the 2015 International Workshop on Parallel Symbolic Computation
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Author:

Verschelde Jan¹,Yu Xiangcheng¹

Affiliation:

1. University of Illinois at Chicago, Chicago, IL

Funder

National Science Foundation

Publisher

ACM

Link

https://dl.acm.org/doi/pdf/10.1145/2790282.2790294

Reference45 articles.

1. Computing Puiseux series for algebraic surfaces

2. Polyhedral Methods for Space Curves Exploiting Symmetry Applied to the Cyclic n-roots Problem

3. Granularity issues for solving polynomial systems via globally convergent algorithms on a hypercube

4. T. Bartkewitz and T. Güneysu . Full lattice basis reduction on graphics cards . In F. Armknecht and S. Lucks editors WEWoRC'11 Proceedings of the 4th Western European conference on Research in Cryptology volume 7242 of Lecture Notes in Computer Science pages 30 -- 44 . Springer-Verlag 2012 . 10.1007/978-3-642-34159-5_3 T. Bartkewitz and T. Güneysu. Full lattice basis reduction on graphics cards. In F. Armknecht and S. Lucks editors WEWoRC'11 Proceedings of the 4th Western European conference on Research in Cryptology volume 7242 of Lecture Notes in Computer Science pages 30--44. Springer-Verlag 2012. 10.1007/978-3-642-34159-5_3

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