Multivariate subresultants using Jouanolou matrices |
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Authors: | A Szanto |
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Institution: | Department of Mathematics, North Carolina State University, Box 8205, Raleigh, NC, 27695, United States |
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Abstract: | Earlier results expressing multivariate subresultants as ratios of two subdeterminants of the Macaulay matrix are extended to Jouanolou matrices. These matrix constructions are generalizations of the classical Macaulay matrices and involve matrices of significantly smaller size. Equivalence of the various subresultant constructions is proved. The resulting subresultant method improves the efficiency of previous methods to compute the solution of over-determined polynomial systems. |
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Keywords: | 13P15 68W30 14A05 |
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