Analysis of zero clusters in multivariate polynomial systems | Zendy

Hans J. Stetter | Zendy

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Analysis of zero clusters in multivariate polynomial systems

Author(s) -

Hans J. Stetter

Publication year - 1996

Publication title -

ecommons (cornell university)

Language(s) - English

Resource type - Conference proceedings

ISBN - 0-89791-796-0

DOI - 10.1145/236869.236919

Subject(s) - multivariate statistics , zero (linguistics) , polynomial , cluster (spacecraft) , mathematics , perturbation (astronomy) , algebraic number , ideal (ethics) , discrete mathematics , computer science , mathematical analysis , statistics , physics , philosophy , linguistics , epistemology , quantum mechanics , programming language

We consider a cluster of m zeros of a multivariate polynomial system which we interpret as a perturbation of a system with an m-fold zero. By algebraic techniques, we find a first order correct representation of the primary ideal of the cluster zeros from which we obtain approximations for the individual zeros in the cluster.

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