Over the past fifteen years, several excellent general purpose packages for computations in algebraic geometry have been developed, such as, CoCoA, Singular and Macaulay 2. While these packages evolve continiously, incorporating new mathematical advances, they both motivate and demand the creation of new mathematics and smarter algorithms. This volume reflects the workshop ‘Software forAlgebraic Geometry’ held in the week from 23 to 27 October 2006, as the second workshop in the thematic year on Applications of Algebraic Geometry at the IMA. The papers in this volume describe the software packages Bertini, PHClab, Gfan, DEMiCs, SYNAPS, TrIm, Gambit, ApaTools, and the application of Risa/Asirto a conjecture on multiple zeta values. They offer the reader a broad view of current trends in computational algebraic geometry through software development and applications. INDICE: Software for numerical algebraic geometry: A paradigm and progresstowards its implementation.- PhClab: A MATLAB/Octave interface to PHCpack.- Computing Grobner fans and tropical varieties in Gfan.- On a conjecture for thedimension of the space of the multiple zeta values.- DEMiCs: A software package for computing the mixed volume via dynamic enumeration of all mixed cells.-SYNAPS, a library for dedicated applications in symbolic numeric computing.- Tropical implicitization and mixed fiber polytopes.- Towards a black-box solver for finite games: Computing all equilibria with Gambit and PHCpack.- APATools: A software toolbox for approximate polynomial algebra.
- ISBN: 978-0-387-78132-7
- Editorial: Springer
- Encuadernacion: Cartoné
- Páginas: 167
- Fecha Publicación: 01/07/2008
- Nº Volúmenes: 1
- Idioma: Inglés