Bounding Perturbations in Zeros of Nonlinear Systems


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Abstract

Algorithms for determining computationally rigorous componentwise bounds on the solutions xRn of equations F(x, t) = 0 ∈ Rm containing parameters tRl due to small perturbations in t when mn and when F is at most twice continuously differentiable in x and in t are described. Numerical results which illustrate the behaviour of the algorithms are presented.

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