Accurate Enclosure of the Zero Set of Multivariate Polynomials |
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| Authors: | Fritz G. Boese Wolfram J. Luther |
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| Affiliation: | (1) Max-Planck-Institut für extraterrestrische Physik, Giessenbachstraße, D-85748 Garching, Germany;(2) Institut für Informatik und Interaktive Systeme, University of Duisburg, Lotharstraße 65, D-47057 Duisburg, Germany |
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| Abstract: | The zero set of one general multivariate polynomial is enclosed by unions and intersections of funnel-shaped unbounded sets. There are sharper enclosures for the zero set of a polynomial in two complex variables with complex interval coefficients. Common zeros of a polynomial system can be located by an appropriate intersection of these enclosure sets in an appropriate space. The resulting domain is directly brought into polynomial equation solvers. |
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| Keywords: | Multivariate polynomial zero set interval coefficients enclosure set. |
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