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Contribution to Book
Experimentation at the Frontiers of Reality in Schubert Calculus
Gems in Experimental Mathematics (2010)
  • Chris Hillar
  • Luis García-Puente, Sam Houston State University
  • Abraham M. del Campo, Texas A & M University - College Station
  • James Ruffo
  • Zach Teitler, Boise State University
  • Stephen L. Johnson, Texas A & M University - College Station
  • Frank Sottile, Texas A & M University - College Station
Abstract
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.
Disciplines
Publication Date
2010
Editor
Tewodros Amdeberhan, Luis A. Medina, Victor H. Moll
Publisher
American Mathematical Society
Series
Contemporary Mathematics
Citation Information
Chris Hillar, Luis García-Puente, Abraham M. del Campo, James Ruffo, et al.. "Experimentation at the Frontiers of Reality in Schubert Calculus" Providence, RIGems in Experimental Mathematics Vol. 517 (2010)
Available at: http://works.bepress.com/zach_teitler/4/