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Solving algebraic equations: Combining Buchberger's algorithm with multivariate factorization - MaRDI portal

Solving algebraic equations: Combining Buchberger's algorithm with multivariate factorization (Q1118397)

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scientific article; zbMATH DE number 4094795
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Solving algebraic equations: Combining Buchberger's algorithm with multivariate factorization
scientific article; zbMATH DE number 4094795

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    Solving algebraic equations: Combining Buchberger's algorithm with multivariate factorization (English)
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    1989
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    A modification of the algorithm reducing the Gröbner bases in a polynomial ideal is described. It uses the lexicographical term ordering and involves multivariate polynomial factoring as a subroutine. The author claims that this algorithm is better suited for solving algebraic equations.
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    Gröbner bases
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    polynomial ideal
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    lexicographical term ordering
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    polynomial factoring
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    algebraic equations
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