Stability of parametric decomposition

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Abstract

We deal with ideals generated by polynomials with parametric coefficients, and introduce "stabilities on ideal structures" based on stability of forms of Gröbner bases. Then, we extend those stabilities to radicals and irreducible decompositions and show the computational tractability on those computations by integrating existing techniques. © Springer-Verlag Berlin Heidelberg 2006.

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Yokoyama, K. (2006). Stability of parametric decomposition. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 4151 LNCS, pp. 391–402). Springer Verlag. https://doi.org/10.1007/11832225_39

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