Numerically Solving Polynomial Systems with Bertini Daniel J. Bates

ISBN: 9781611972696

Published: December 19th 2013

Paperback

370 pages


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Numerically Solving Polynomial Systems with Bertini  by  Daniel J. Bates

Numerically Solving Polynomial Systems with Bertini by Daniel J. Bates
December 19th 2013 | Paperback | PDF, EPUB, FB2, DjVu, audiobook, mp3, RTF | 370 pages | ISBN: 9781611972696 | 8.73 Mb

The Bertini software package provides a powerful toolset for the numerical solution of systems of polynomial equations. This book provides both a course, with numerous examples, on the use of Bertini to compute solutions, and a complete referenceMoreThe Bertini software package provides a powerful toolset for the numerical solution of systems of polynomial equations. This book provides both a course, with numerous examples, on the use of Bertini to compute solutions, and a complete reference guide with documentation on syntax and usage options.

It describes the latest advances in the field, including algorithms for intersecting and projecting algebraic sets, methods for treating singular sets, the nascent field of real numerical algebraic geometry, and applications to large polynomial systems arising from differential equations. This book serves scientists and engineers who need quick methods for finding isolated solutions to small systems. Those who wish to further refine their techniques can advance to using algorithms for finding positive-dimensional solution sets and learn how to use parallel computers on large problems, while readers of a more mathematical bent will find details of the theory underpinning the software.



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