A.Dickenstein, I.Z.Emiris (Eds.): Solving Polynomial Equations:   Foundations, Algorithms, and Applications.

Algorithms and Computation in Mathematics 14, Springer-Verlag, ISBN 3-540-24326-7, 2005.




Alicia Dickenstein and Ioannis Emiris:  Preface


Eduardo Cattani and Alicia Dickenstein:  Introduction to residues and resultants   page 1

David Cox:   Solving equations via algebras    page 63

Mohamed Elkadi and Bernard Mourrain:  Symbolic-numeric tools for solving polynomial equations and applications
page 125

Achim Kehrein, Martin Kreuzer and Lorenzo Robbiano:  An algebraist's view on border bases   page 169

Mike Stillman:  Tools for computing primary decompositions and applications to ideals associated to bayesian networks
page 203

Juan Sabia:  Algorithms and their complexity    page 241

Ioannis Emiris:  Toric resultants and applications to geometric modelling     page 269

Andrew J. Sommese, Jan Verschelde, and Charles W. Wampler: Introduction to numerical algebraic geometry     page 301

Guillaume Chèze and André Galligo: Four lessons on polynomial absolute factorization   page 339

Bibliography   page 393

Index    page 419