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H-bases for polynomial interpolation and system solving - MaRDI portal

H-bases for polynomial interpolation and system solving (Q1968637)

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scientific article; zbMATH DE number 1419513
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H-bases for polynomial interpolation and system solving
scientific article; zbMATH DE number 1419513

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    H-bases for polynomial interpolation and system solving (English)
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    21 March 2000
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    The authors compare the H-basis concept and the Gröbner basis concept. They present H-bases constructions and discuss their properties and some applications of the H-basis to the solution of polynomial systems. The last two sections are dedicated to computing polynomial zeros by eigenvectors and multivariate polynomial interpolation.
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    ideal bases
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    Gröbner bases
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    multivariate polynomials
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    interpolation
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    systems of polynomial equations
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    H-bases concept
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    polynomial zeros
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    eigenvectors
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