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The design of the research study guided the implementation of the methods.
Although the Hager-Zhang type and Dai-Kou type conjugate gradient methods are efficient in solving problem (2), during the implementation of the methods, function evaluations are required.
However, during the implementation of the methods, we detected certain parts of the methods that had to be manually encoded, usually in the form of (nested) loops.
The implementation of the methods is illustrated in the case of the catalytic oxidization of sulphur dioxide in a flow reversal reactor.
See appendix1 (additional file 1) for more details on the implementation of the methods.
FD contributed in the development of models and algorithms, and in the implementation of the methods.
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The implementation of the method is also discussed.
The implementation of the method, "MG-Inc", is available online.
The implementation of the method on parallel architectures is discussed.
The main difficulty in the implementation of the method is the choice of a priori parameters.
All the details needed for the implementation of the method are given.
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