Solving Polynomial Equation Systems Algebraic Solving
DOWNLOAD
Download Solving Polynomial Equation Systems Algebraic Solving PDF/ePub or read online books in Mobi eBooks. Click Download or Read Online button to get Solving Polynomial Equation Systems Algebraic Solving book now. This website allows unlimited access to, at the time of writing, more than 1.5 million titles, including hundreds of thousands of titles in various foreign languages. If the content not found or just blank you must refresh this page
Solving Polynomial Equation Systems Algebraic Solving
DOWNLOAD
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.
Solving Polynomial Equation Systems
DOWNLOAD
Author : Teo Mora
language : en
Publisher:
Release Date : 2015
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 2015 with MATHEMATICS categories.
This third volume of four finishes the program begun in Volume 1 by describing all the most important techniques, mainly based on Gröbner bases, which allow one to manipulate the roots of the equation rather than just compute them. The book begins with the 'standard' solutions (Gianni-Kalkbrener Theorem, Stetter Algorithm, Cardinal-Mourrain result) and then moves on to more innovative methods (Lazard triangular sets, Rouillier's Rational Univariate Representation, the TERA Kronecker package). The author also looks at classical results, such as Macaulay's Matrix, and provides a historical survey of elimination, from Bézout to Cayley. 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
DOWNLOAD
Author : Alicia Dickenstein
language : en
Publisher: Springer Science & Business Media
Release Date : 2005-04-27
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 2005-04-27 with Computers categories.
This book provides a general introduction to modern mathematical aspects in computing with multivariate polynomials and in solving algebraic systems. It presents the state of the art in several symbolic, numeric, and symbolic-numeric techniques, including effective and algorithmic methods in algebraic geometry and computational algebra, complexity issues, and applications ranging from statistics and geometric modelling to robotics and vision. Graduate students, as well as researchers in related areas, will find an excellent introduction to currently interesting topics. These cover Groebner and border bases, multivariate resultants, residues, primary decomposition, multivariate polynomial factorization, homotopy continuation, complexity issues, and their applications.
Solving Polynomial Equation Systems I
DOWNLOAD
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 Iv Volume 4 Buchberger Theory And Beyond
DOWNLOAD
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 Equation Systems
DOWNLOAD
Author : Teo Mora
language : en
Publisher:
Release Date : 2015
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 2015 with categories.
Numerically Solving Polynomial Systems With Bertini
DOWNLOAD
Author : Daniel J. Bates
language : en
Publisher: SIAM
Release Date : 2013-11-08
Numerically Solving Polynomial Systems With Bertini written by Daniel J. Bates and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-11-08 with Science categories.
This book is a guide to concepts and practice in numerical algebraic geometry ? the solution of systems of polynomial equations by numerical methods. Through numerous examples, the authors show how to apply the well-received and widely used open-source Bertini software package to compute solutions, including a detailed manual on syntax and usage options. The authors also maintain a complementary web page where readers can find supplementary materials and Bertini input files. Numerically Solving Polynomial Systems with Bertini approaches numerical algebraic geometry from a user's point of view with numerous examples of how Bertini is applicable to polynomial systems. It treats the fundamental task of solving a given polynomial system and 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. Those who wish to solve polynomial systems can start gently by finding isolated solutions to small systems, advance rapidly to using algorithms for finding positive-dimensional solution sets (curves, surfaces, etc.), and learn how to use parallel computers on large problems. These techniques are of interest to engineers and scientists in fields where polynomial equations arise, including robotics, control theory, economics, physics, numerical PDEs, and computational chemistry.
Solving Polynomial Equation Systems
DOWNLOAD
Author : Teo Mora
language : en
Publisher:
Release Date : 2015
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 2015 with Equations categories.
This third volume of four describes all the most important techniques, mainly based on Gröbner bases.
Solving Polynomial Equation Systems Iii Volume 3 Algebraic Solving
DOWNLOAD
Author : Teo Mora
language : en
Publisher: Cambridge University Press
Release Date : 2015-08-07
Solving Polynomial Equation Systems Iii Volume 3 Algebraic Solving 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 2015-08-07 with Mathematics categories.
This third volume of four finishes the program begun in Volume 1 by describing all the most important techniques, mainly based on Gröbner bases, which allow one to manipulate the roots of the equation rather than just compute them. The book begins with the 'standard' solutions (Gianni–Kalkbrener Theorem, Stetter Algorithm, Cardinal–Mourrain result) and then moves on to more innovative methods (Lazard triangular sets, Rouillier's Rational Univariate Representation, the TERA Kronecker package). The author also looks at classical results, such as Macaulay's Matrix, and provides a historical survey of elimination, from Bézout to Cayley. 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 Systems Of Polynomial Equations
DOWNLOAD
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.