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Elimination Methods

Dongming Wang 1
1 SPACES - Solving problems through algebraic computation and efficient software
INRIA Lorraine, LORIA - Laboratoire Lorrain de Recherche en Informatique et ses Applications
Abstract : This book provides a systematic and uniform presentation of elimination methods and the underlying theories, along the central line of decomposing arbitrary systems of polynomials into triangular systems of various kinds. Highlighting methods based on triangular sets, the book also covers the theory and techniques of resultants and Gröbner bases. The methods and their efficiency are illustrated by fully worked out examples and their applications to selected problems such as from polynomial ideal theory, automated theorem proving in geometry and the qualitative study of differential equations. The reader will find the formally described algorithms ready for immediate implementation and applicable to many other problems. Suitable as a graduate text, this book offers an indispensable reference for everyone interested in mathematical computation, computer algebra (software), and systems of algebraic equations.
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Submitted on : Tuesday, September 26, 2006 - 2:48:23 PM
Last modification on : Friday, February 4, 2022 - 3:21:56 AM


  • HAL Id : inria-00100616, version 1



Dongming Wang. Elimination Methods. Springer-Verlag, 244 p, 2001, Texts and Monographs in Symbolic Computation. ⟨inria-00100616⟩



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