Solving Polynomial Equation Systems

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Solving Polynomial Equation Systems Ii

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Author : Teo Mora
language : en
Publisher: Cambridge University Press
Release Date : 2003

Solving Polynomial Equation Systems Ii written by Teo Mora and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with Mathematics categories.

The second volume of this comprehensive treatise focusses on Buchberger theory and its application to the algorithmic view of commutative algebra. In distinction to other works, the presentation here is based on the intrinsic linear algebra structure of Groebner bases, and thus elementary considerations lead easily to the state-of-the-art in issues of implementation. Aiming to be a complete survey on Groebner bases and their applications, the book will be essential for all workers in commutative algebra, computational algebra and algebraic geometry.

Solving Polynomial Equation Systems I

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Author : Teo Mora
language : en
Publisher: Cambridge University Press
Release Date : 2003-03-27

Solving Polynomial Equation Systems I written by Teo Mora and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-03-27 with Mathematics categories.

Computational algebra; computational number theory; commutative algebra; handbook; reference; algorithmic; modern.

Solving Polynomial Equation Systems

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Author :
language : en
Publisher: Cambridge University Press
Release Date :

Solving Polynomial Equation Systems written by and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.

Solving Polynomial Equation Systems

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Author : Teo Mora
language : en
Publisher:
Release Date : 2003

Solving Polynomial Equation Systems written by Teo Mora and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with Equations categories.

Solving Polynomial Equation Systems Iv Volume 4 Buchberger Theory And Beyond

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Author : Teo Mora
language : en
Publisher: Cambridge University Press
Release Date : 2016-04-01

Solving Polynomial Equation Systems Iv Volume 4 Buchberger Theory And Beyond written by Teo Mora and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-04-01 with Mathematics categories.

In this fourth and final volume the author extends Buchberger's Algorithm in three different directions. First, he extends the theory to group rings and other Ore-like extensions, and provides an operative scheme that allows one to set a Buchberger theory over any effective associative ring. Second, he covers similar extensions as tools for discussing parametric polynomial systems, the notion of SAGBI-bases, Gröbner bases over invariant rings and Hironaka's theory. Finally, Mora shows how Hilbert's followers - notably Janet, Gunther and Macaulay - anticipated Buchberger's ideas and discusses the most promising recent alternatives by Gerdt (involutive bases) and Faugère (F4 and F5). This comprehensive treatment in four volumes is a significant contribution to algorithmic commutative algebra that will be essential reading for algebraists and algebraic geometers.

Solving Polynomial Equations

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Author : Alicia Dickenstein
language : en
Publisher: Springer Science & Business Media
Release Date : 2005-12-29

Solving Polynomial Equations written by Alicia Dickenstein and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-12-29 with Mathematics categories.

The subject of this book is the solution of polynomial equations, that is, s- tems of (generally) non-linear algebraic equations. This study is at the heart of several areas of mathematics and its applications. It has provided the - tivation for advances in di?erent branches of mathematics such as algebra, geometry, topology, and numerical analysis. In recent years, an explosive - velopment of algorithms and software has made it possible to solve many problems which had been intractable up to then and greatly expanded the areas of applications to include robotics, machine vision, signal processing, structural molecular biology, computer-aided design and geometric modelling, as well as certain areas of statistics, optimization and game theory, and b- logical networks. At the same time, symbolic computation has proved to be an invaluable tool for experimentation and conjecture in pure mathematics. As a consequence, the interest in e?ective algebraic geometry and computer algebrahasextendedwellbeyonditsoriginalconstituencyofpureandapplied mathematicians and computer scientists, to encompass many other scientists and engineers. While the core of the subject remains algebraic geometry, it also calls upon many other aspects of mathematics and theoretical computer science, ranging from numerical methods, di?erential equations and number theory to discrete geometry, combinatorics and complexity theory. Thegoalofthisbookistoprovideageneralintroduction tomodernma- ematical aspects in computing with multivariate polynomials and in solving algebraic systems.

Solving Polynomial Equation Systems

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Author : Teo Mora
language : en
Publisher:
Release Date : 2003

Solving Polynomial Equation Systems written by Teo Mora and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with Equations categories.

Mora covers the classical theory of finding roots of a univariate polynomial, emphasising computational aspects. He shows that solving a polynomial equation really means finding algorithms that help one manipulate roots rather than simply computing them; to that end he also surveys algorithms for factorizing univariate polynomials.

Solving Polynomial Systems Using Continuation For Engineering And Scientific Problems

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Author : Alexander Morgan
language : en
Publisher: SIAM
Release Date : 2009-06-04

Solving Polynomial Systems Using Continuation For Engineering And Scientific Problems written by Alexander Morgan and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-06-04 with Computers categories.

An elementary introduction to polynomial continuation.

Solving Systems Of Polynomial Equations

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Author : Bernd Sturmfels
language : en
Publisher: American Mathematical Soc.
Release Date : 2002

Solving Systems Of Polynomial Equations written by Bernd Sturmfels and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with Mathematics categories.

Bridging a number of mathematical disciplines, and exposing many facets of systems of polynomial equations, Bernd Sturmfels's study covers a wide spectrum of mathematical techniques and algorithms, both symbolic and numerical.

Solving Polynomial Equation Systems Algebraic Solving

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Author : Teo Mora
language : en
Publisher:
Release Date : 2003

Solving Polynomial Equation Systems Algebraic Solving written by Teo Mora and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with Equations categories.