Titlebook: Elimination Methods; Dongming Wang Book 2001 Springer-Verlag Wien 2001 algebra.algebraic geometry.algorithms.ants.automated theorem provin

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Computational algebraic geometry and polynomial-ideal theory, points in an affine space. In contrast, ideals generated by polynomial sets are typical examples dealt with in commutative algebra. Elimination algorithms provide powerful constructive tools for many problems in these two related areas. In this chapter, we investigate some computational aspects of

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Mixübergreifende Entscheidungen points in an affine space. In contrast, ideals generated by polynomial sets are typical examples dealt with in commutative algebra. Elimination algorithms provide powerful constructive tools for many problems in these two related areas. In this chapter, we investigate some computational aspects of a few such problems.

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Zero decomposition of polynomial systems, form - the theme of this book. Meanwhile, various zero relations between the given and the constructed systems will be established. In this chapter three kinds of different yet related algorithms are presented which compute such decompositions of relatively coarse form.

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Various elimination algorithms,main reason for this is that these methods are already well-known, fully described in standard textbooks, and widely accessible. In order to reduce overlap with existing materials in the literature, we shall not introduce the methods in detail and be satisfied by only giving them a brief review. Most formal proofs will be omitted.

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https://doi.org/10.1007/978-3-642-58140-3The fine triangular systems computed by algorithms CharSer, TriSer, and TriSerS are not necessarily .. In other words, those triangular systems which have no zero are not necessarily detected. This issue is to be treated in this and the following chapters. To get some primitive idea, let us look at the following example.