The Resource Elimination Methods in Polynomial Computer Algebra, by Valery Bykov, Alexander Kytmanov, Mark Lazman ; edited by Mikael Passare, (electronic resource)

Elimination Methods in Polynomial Computer Algebra, by Valery Bykov, Alexander Kytmanov, Mark Lazman ; edited by Mikael Passare, (electronic resource)

Label
Elimination Methods in Polynomial Computer Algebra
Title
Elimination Methods in Polynomial Computer Algebra
Statement of responsibility
by Valery Bykov, Alexander Kytmanov, Mark Lazman ; edited by Mikael Passare
Creator
Contributor
Subject
Genre
Language
eng
Summary
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. <br/> <em>Audience:</em> 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
Member of
Cataloging source
I9W
http://library.link/vocab/creatorName
Bykov, V. I.
Dewey number
515.94
Index
no index present
LC call number
QA192
Literary form
non fiction
Nature of contents
encyclopedias
http://library.link/vocab/relatedWorkOrContributorName
  • Kytmanov, Alexander
  • Lazman, Mark
  • Passare, Mikael
Series statement
Mathematics and Its Applications
Series volume
448
http://library.link/vocab/subjectName
  • Elimination
  • Polynomials
  • Algebra
  • Computer algorithms
  • Differential equations, Nonlinear
  • Algebra
  • Computer algorithms
  • Differential equations, Nonlinear
  • Elimination
  • Polynomials
Label
Elimination Methods in Polynomial Computer Algebra, by Valery Bykov, Alexander Kytmanov, Mark Lazman ; edited by Mikael Passare, (electronic resource)
Link
http://dx.doi.org/10.1007/978-94-011-5302-7
Instantiates
Publication
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
not applicable
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
1. Basic Mathematical Facts -- 1. The logarithmic residue -- 2. The Newton recursion formulas -- 3. Localization theorems for the real zeros of a polynomial -- 4. The local residue (of Grothendieck) -- 5. The multidimensional logarithmic residue -- 6. The classical scheme for elimination of unknowns -- 2. A Modified Elimination Method -- 7. A generalized transformation formula for local residues -- 8. A modified elimination method -- 9. A formula for the logarithmic derivative of the resultant -- 10. Multidimensional analogues of the Newton formulas -- 11. Elimination of unknowns in different variables. Real roots -- 3. Applications in Mathematical Kinetics -- 12. Short schemes -- 13. The search for all stationary solutions -- 14. The kinetic polynomial. Single-route mechanisms -- 15. Construction of the kinetic polynomial in the general case -- 4. Computer Realizations -- 16. Analytic manipulations on the computer -- 17. Basic problems in computer algebra of polynomials -- 18. Realization of the elimination method -- 19. The construction of the resultant -- List of applications
Dimensions
unknown
Extent
1 online resource (252 pages).
Form of item
online
Isbn
9789401062305
Isbn Type
(print)
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/978-94-011-5302-7
Specific material designation
remote
System control number
  • (OCoLC)840311206
  • (OCoLC)ocn840311206
Label
Elimination Methods in Polynomial Computer Algebra, by Valery Bykov, Alexander Kytmanov, Mark Lazman ; edited by Mikael Passare, (electronic resource)
Link
http://dx.doi.org/10.1007/978-94-011-5302-7
Publication
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
not applicable
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
1. Basic Mathematical Facts -- 1. The logarithmic residue -- 2. The Newton recursion formulas -- 3. Localization theorems for the real zeros of a polynomial -- 4. The local residue (of Grothendieck) -- 5. The multidimensional logarithmic residue -- 6. The classical scheme for elimination of unknowns -- 2. A Modified Elimination Method -- 7. A generalized transformation formula for local residues -- 8. A modified elimination method -- 9. A formula for the logarithmic derivative of the resultant -- 10. Multidimensional analogues of the Newton formulas -- 11. Elimination of unknowns in different variables. Real roots -- 3. Applications in Mathematical Kinetics -- 12. Short schemes -- 13. The search for all stationary solutions -- 14. The kinetic polynomial. Single-route mechanisms -- 15. Construction of the kinetic polynomial in the general case -- 4. Computer Realizations -- 16. Analytic manipulations on the computer -- 17. Basic problems in computer algebra of polynomials -- 18. Realization of the elimination method -- 19. The construction of the resultant -- List of applications
Dimensions
unknown
Extent
1 online resource (252 pages).
Form of item
online
Isbn
9789401062305
Isbn Type
(print)
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/978-94-011-5302-7
Specific material designation
remote
System control number
  • (OCoLC)840311206
  • (OCoLC)ocn840311206

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