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Elimination methods in polynomial algebra

โœ Scribed by Bykov, Kytmanov, Lazman.

Book ID
127396733
Publisher
Kluwer
Year
1997
Tongue
English
Weight
693 KB
Category
Library

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โœฆ Synopsis

This book 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. Audience: This volume will be of interest to graduate students and researchers whose work involves multidimensional theory of residues, mathematical kinetics, computer algebra, and symbolic computation.

๐Ÿ“œ SIMILAR VOLUMES

Elimination methods in polynomial algebr
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โœ V. Bykov, A. Kytmanov, M. Lazman, Mikael Passare ๐Ÿ“‚ Library ๐Ÿ“… 1998 ๐Ÿ› Springer ๐ŸŒ English โš– 1 MB

This book 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 softwar

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Let k be a field of characteristic 0. Based on the Gelfand-Kirillov dimension computation of modules over solvable polynomial k-algebras, where solvable polynomial algebras are in the sense of A.