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IJCNN is the flagship conference of the INNS, as well as the IEEE Neural Networks Society. Ithas arguably been the preeminent conference in the field, even as neural network conferenceshave proliferated and specialized. As the number of conferences has grown, its strongestcompetition has migrated away from an emphasis on neural networks. IJCNN has embraced theproliferation of spin-off and related fields (see the topic list, below), while maintaining a coreemphasis befitting its name. It has also succeeded in enforcing an emphasis on quality.
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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 Grobner 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.