On Bounding Solutions of Underdetermined Systems |
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| Authors: | Wolfe Michael A. |
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| Affiliation: | (1) School of Mathematical and Computational Sciences, Mathematical Institute, University of St.Andrews, North Haugh, St.Andrews, Fife, KY16 9SS, Scotland |
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| Abstract: | Sufficient conditions for the existence and uniqueness of a solution x*  D  (Rn) of Y(x) = 0 where : Rn  Rm (m  n) with C2(D) where D Rn is an open convex set and Y =  (x)+ are given, and are compared with similar results due to Zhang, Li and Shen (Reliable Computing5(1) (1999)). An algorithm for bounding zeros of f (·) is described, and numerical results for several examples are given. |
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