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- W2952783719 abstract "We study ellipsoid bounds for the solutions $(x,mu)in re^n times re^r$ of polynomial systems of equalities and inequalities. The variable $mu$ can be considered as parameters perturbing the solution $x$. For example, bounding the zeros of a system of polynomials whose coefficients depend on parameters is a special case of this problem. Our goal is to find minimum ellipsoid bounds just for $x$. Using theorems from real algebraic geometry, the ellipsoid bound can be found by solving a particular polynomial optimization problem with sums of squares (SOS) techniques. Some numerical examples are also given." @default.
- W2952783719 created "2019-06-27" @default.
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- W2952783719 date "2004-11-05" @default.
- W2952783719 modified "2023-09-24" @default.
- W2952783719 title "Minimum Ellipsoid Bounds for Solutions of Polynomial Systems via Sum of Squares" @default.
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