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This work investigates the possibility of replacing the usually used "serial" iteration with an approximate Newton algorithm.
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In order to reduce the number of iterations, several serial scheduling methods have been proposed.
The serial calculation with 1011 iterations and a step size of 1/1011 serves as reference value.
The statistical variation is analyzed in terms of three components which relate to guiding function ΨT, branching, and serial correlation of consecutive iterations.
For the standard and modified chained equations procedures we (1) increased the burn-in period of the chained equations sampler to 1000 iterations and (2) sampled every 50 th iteration thereby reducing serial correlation (with a burn-in period of 10 iterations).
Introduction of a subsampling step after a certain number of iterations, to simulate serial passages, does not alter these results.
In order to avoid the final solution being affected by the initial conditions, the algorithm performs an 'initial burn', in which each processor spends ninit iterations running as normal serial SA at a constant temperature T0.
From Iteration Error series.
Conjugate gradient minimization (that can be done in parallel) replaces the widely used iteration process that is inherently serial.
In the test, the running time of the serial program for LSRTM and RLSRTM with one iteration is 9094 and 9105 s, respectively.
During the tests, the computer CPU was an Intel(R) Xeon(R) E5-2650 v2.602.60 GHz and the running time of the serial program for LSRTM and RLSRTM with one iteration is 555 and 559 s, respectively.
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