I have experienced that the EViews optimizer is not always optimal, i.e. it does not always solve a problem it should be able to solve. This happens both in system estimation and when solving models, see e.g., viewtopic.php?f=10&t=15917&p=53141#p53141.
could you please add the artificial bee colony algorithm to your optional solutions methods? see either
wikipedia:
https://en.wikipedia.org/wiki/Artificial_bee_colony_algorithm
... the survey: http://home.ufam.edu.br/hiramaral/04_SIAPE_FINAL_2016/SIAPE_Biblioteca%20Geral/0000_MeDSE_ESTADO%20DA%20ARTE_Metodologia/MeDSE_Intelligence_SURVEY/2012_KARABOGA_A%20comprehensive%20survey_%20artificial%20bee%20colony%20ABC.pdf
... or youtube:
https://www.youtube.com/watch?v=3qQr1eZwz5E
Thomas
Improve EViews optimizer - Artificial Bee Colony (ABC) algorithm
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