Solving Polynomial Equations Foundations, Algorithms, and Applications /

• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Άλλοι συγγραφείς: Bronstein, Manuel (Επιμελητής έκδοσης), Cohen, Arjeh M. (Επιμελητής έκδοσης), Cohen, Henri (Επιμελητής έκδοσης), Eisenbud, David (Επιμελητής έκδοσης), Sturmfels, Bernd (Επιμελητής έκδοσης), Dickenstein, Alicia (Επιμελητής έκδοσης), Emiris, Ioannis Z. (Επιμελητής έκδοσης)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Berlin, Heidelberg : Springer Berlin Heidelberg, 2005.
• Σειρά: Algorithms and Computation in Mathematics, 14
• Θέματα: Mathematics.; Computer science > Mathematics.; Algebra.; Algorithms.; Symbolic and Algebraic Manipulation.

The subject of this book is the solution of polynomial equations, that is, s- tems of (generally) non-linear algebraic equations. This study is at the heart of several areas of mathematics and its applications. It has provided the - tivation for advances in di?erent branches of mathematics such as a...

Πίνακας περιεχομένων:

• to residues and resultants
• Solving equations via algebras
• Symbolic-numeric methods for solving polynomial equations and applications
• An algebraist’s view on border bases
• Tools for computing primary decompositions and applications to ideals associated to Bayesian networks
• Algorithms and their complexities
• Toric resultants and applications to geometric modelling
• to numerical algebraic geometry
• Four lectures on polynomial absolute factorization.