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Article overview
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Verified Error Bounds for Isolated Singular Solutions of Polynomial Systems: Case of Breadth One | Nan Li
; Lihong Zhi
; | Date: |
17 Jan 2012 | Abstract: | In this paper we describe how to improve the performance of the
symbolic-numeric method in (Li and Zhi,2009, 2011) for computing the
multiplicity structure and refining approximate isolated singular solutions in
the breadth one case. By introducing a parameterized and deflated system with
smoothing parameters, we generalize the algorithm in (Rump and Graillat, 2009)
to compute verified error bounds such that a slightly perturbed polynomial
system is guaranteed to have a breadth-one multiple root within the computed
bounds. | Source: | arXiv, 1201.3443 | Services: | Forum | Review | PDF | Favorites |
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