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Ore Subresultant Coefficients in Solutions

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Applicable Algebra in Engineering, Communication and Computing Aims and scope

Abstract.

The subresultants play a fundamental role in elimination theory and computer algebra. Recently they have been extended to Ore polynomials. They are defined by an expression in the coefficients of Ore polynomials. In this paper, we provide another expression for them. This expression is written in terms of the solutions of Ore polynomials (in generic case). It is a generalization of our previous paper where we gave expressions for the principal (formal leading) coefficients of subresultants. In this paper, we give expressions for all the other coefficients.

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Received: September 3, 2000

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Hong, H. Ore Subresultant Coefficients in Solutions. AAECC 12, 421–428 (2001). https://doi.org/10.1007/s002000100082

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  • DOI: https://doi.org/10.1007/s002000100082

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