Abstract
We have recently characterized the q-quadratic convergence of the perturbed successive approximations. For a particular choice of the parameters, these sequences resulted as accelerated iterations toward a fixed point.
We give here a Kantorovich-type result, which provides suffcient conditions ensuring the convergence of the accelerated iterates.
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© 2005 Birkhäuser Verlag Basel/Switzerland
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CĂtinaş, E. (2005). Sufficient Convergence Conditions for Certain Accelerated Successive Approximations. In: Mache, D.H., Szabados, J., de Bruin, M.G. (eds) Trends and Applications in Constructive Approximation. ISNM International Series of Numerical Mathematics, vol 151. Birkhäuser Basel. https://doi.org/10.1007/3-7643-7356-3_6
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DOI: https://doi.org/10.1007/3-7643-7356-3_6
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