Elimination Methods in Polynomial Computer Algebra (Mathematics and Its Applications)

Bykov, Valery/ Kytmanov, Alexander/ Lazman, Mark/ Passare, Mikael (EDT

Kluwer Academic Pub（1998/11発売）

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製本 Hardcover:ハードカバー版／ページ数 237 p.
言語 ENG
商品コード 9780792352402
DDC分類 512.4

Full 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.

Basic mathematical facts; a modified elimination method; applications in mathematical kinetics; computer realizations.