Gröbner Bases Computation and Mutant Polynomials

Language: English

Published by Scholars' Press Jun 2013, 2013

3639514920 / 9783639514926

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This item is printed on demand - Print on Demand Titel. Neuware -Gröbner bases are the single most important tool in applicable algebraic geometry. This is in part because they can be used to solve systems of polynomial equations. Applications in science and technology are abundant, particularly in cryptography and coding theory. Gröbner bases computation is challenging and a great deal of effort has been devoted to improve algorithms to compute faster larger bases. The concept of mutant polynomials, introduced by Ding in 2006, characterizes a phenomenon of degeneration in the process of Gröbner bases computation. Exploiting the appearance of mutant polynomials has led to significant improvements in Gröbner bases Computation. In this work we describe several such improvements and we establish some theoretical results for mutant polynomials. We also propose LASyz, a method to avoid redundant computation in Gröbner bases computation that is compatible with mutant algorithms. This is achieved by simple linear algebra procedures used to compute generators for the module of syzygies. Overall, this book provides an introduction to the state-of-the-art in Gröbner bases computation together with the first steps towards a theory of mutant polynomials.VDM Verlag, Dudweiler Landstraße 99, 66123 Saarbrücken 108 pp. Englisch.

Seller Inventory # 9783639514926

Title
Gröbner Bases Computation and Mutant Polynomials
Author
Daniel Cabarcas Jaramillo
Publisher
Scholars' Press Jun 2013
Publication year
2013
Condition
Neu
Binding
Taschenbuch
Language
English
ISBN 10
3639514920
ISBN 13
9783639514926
Item weight
179 grams
Dimensions
220x150x8 mm

buchversandmimpf2000

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