Experimentation at the Frontiers of Reality in Schubert Calculus

Bibliographic Details
Title: Experimentation at the Frontiers of Reality in Schubert Calculus
Authors: Hillar, Christopher, Garcia-Puente, Luis, del Campo, Abraham Martin, Ruffo, James, Teitler, Zach, Johnson, Stephen L., Sottile, Frank
Publication Year: 2009
Collection: Mathematics
Subject Terms: Mathematics - Algebraic Geometry, 14M15, 14P99
More Details: We describe a general framework for large-scale computational experiments in mathematics using computer resources that are available in most mathematics departments. This framework was developed for an experiment that is helping to formulate and test conjectures in the real Schubert calculus. Largely using machines in instructional computer labs during off-hours and University breaks, it consumed in excess of 350 GigaHertz-years of computing in its first six months of operation, solving over 1.1 billion polynomial systems.
Comment: 16 pages, 4 .eps figures
Document Type: Working Paper
Access URL: http://arxiv.org/abs/0906.2497
Accession Number: edsarx.0906.2497
Database: arXiv
More Details
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