Elimination methods in polynomial computer algebra
Author(s)
Bibliographic Information
Elimination methods in polynomial computer algebra
（Mathematics and its applications, v. 448）
Kluwer Academic Publishers, c1998
- Other Title
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Metody iskli︠u︡chenii︠a︡ v kompʹi︠u︡ternoĭ algebre mnogochlenov
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Note
Includes bibliographical references and index
Description and Table of Contents
Description
This text presents a modified method, based on multidimensional residue theory, for the elimination of unknowns from a system of nonlinear algebraic equations. An algorithm is given for constructing the resultant of the system, and a computer implementation making use of formula manipulation software is carried out. Programmes in MAPLE are available. The algorithms and programmes are then applied to questions from the theory of chemical kinetics, such as the search for all stationary solutions of kinetic equations and the construction of kinetic polynomials. The subject of this book is closely connected with a wide range of current problems in the analysis of nonlinear systems.
Table of Contents
- Basic mathematical facts
- a modified elimination method
- applications in mathematical kinetics
- computer realizations.
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