| Description |
1 online resource (xiii, 424 pages) : illustrations (some color) |
| Series |
Algorithms and computation in mathematics, 1431-1550 ; v. 14 |
|
Algorithms and computation in mathematics ; v. 14. 1431-1550
|
| Contents |
Introduction to residues and resultants / Eduardo Cattani, Alicia Dickenstein -- Solving equations via algebras / David A. Cox -- Symbolic-numeric methods for solving polynomial equations and applications / Mohamed Elkadi, Bernard Mourrain -- An algebraist's view on border bases / Achim Kehrein, Martin Kreuzer, Lorenzo Robbiano -- Tools for computing primary decompositions and applications to ideals associated to Bayesian networks / Michael Stillman -- Algorithms and their complexities / Juan Sabia -- Toric resultants and applications to geometric modelling / Ioannis Z. Emiris -- Introduction to numerical algebraic geometry / Andrew J. Sommese, Jan Verschelde, Charles W. Wampler -- Four lectures on polynomial absolute factorization / Guillaume Chèze, André Galligo |
| Summary |
"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."--Jacket |
| Bibliography |
Includes bibliographical references (pages 393-418) and index |
| Notes |
English |
|
Print version record |
| In |
Springer e-books |
| Subject |
Equations -- Numerical solutions.
|
|
Polynomials.
|
|
Polynomials.
|
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Équations -- Solutions numériques.
|
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Polynômes.
|
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Análise numérica.
|
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Equations -- Numerical solutions.
|
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Ecuaciones -- Soluciones numéricas
|
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Polinomios
|
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Equations -- Numerical solutions
|
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Polynomials
|
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Análise numérica.
|
| Form |
Electronic book
|
| Author |
Dickenstein, Alicia
|
|
Emiris, Ioannis Z
|
| ISBN |
9783540273578 |
|
3540273573 |
|
3540243267 |
|
9783540243267 |
|
