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Second, no guarantee on convergence was available, and in fact the algorithm often failed to converge.
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In this paper, we consider, in the framework of Banach spaces, the problem of modifying the Halpern iteration by hybrid projection algorithms such that strong convergence is available under assumption (C1) only.
More specifically, a global convergence guarantee is available under the assumption that local solvers are efficient, in the sense that they can guarantee the identification of a (feasible) local minimum.
Many of these convergence diagnostics are available in the Bayesian Output Analysis package available for R or S-Plus (Table 1 ).
At this point, a comprehensive picture of potential obstacles to convergence is not available.
Already there are a variety of new technologies and convergence practices that are available for large "I".
(A full set of convergence diagnostic plots is available from the authors on request).
Furthermore, RNAG now takes the theoretical advantage of a blocked Gibbs sampler by grouping parameters to sample into S and A. A further increase in the convergence rate may be available by integrating out A from the model to take advantage of the collapsed Gibbs sampler.
Moreover, the proposed filter has guaranteed convergence properties when GPS is available and keeps providing good estimations during GPS losses.
Furthermore, a certificate of convergence to a local optimum is available when penalty parameters are bounded.
A certificate of convergence to a local optimum is available in the case of bounded penalty parameters.
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