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• W2076942007 abstract "This paper proposes a parallel solver for the nonlinear systems in Bernstein form based on subdivision and the Newton–Raphson method, where the Kantorovich theorem is employed to identify the existence of a unique root and guarantee the convergence of the Newton–Raphson iterations. Since the Kantorovich theorem accommodates a singular Jacobian at the root, the proposed algorithm performs well in a multiple root case. Moreover, the solver is designed and implemented in parallel on Graphics Processing Unit(GPU) with SIMD architecture; thus, efficiency for solving a large number of systems is improved greatly, an observation validated by our experimental results." @default.
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• W2076942007 date "2011-09-01" @default.
• W2076942007 modified "2023-10-12" @default.
• W2076942007 title "GPU-based parallel solver via the Kantorovich theorem for the nonlinear Bernstein polynomial systems" @default.
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• W2076942007 doi "https://doi.org/10.1016/j.camwa.2011.05.058" @default.
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