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Convergence promotion in the simulation of chemical processes—the general dominant eigenvalue method
Author(s) -
Crowe C. M.,
Nishio M.
Publication year - 1975
Publication title -
aiche journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.958
H-Index - 167
eISSN - 1547-5905
pISSN - 0001-1541
DOI - 10.1002/aic.690210314
Subject(s) - convergence (economics) , eigenvalues and eigenvectors , promotion (chess) , mathematics , mathematical optimization , computer science , physics , economics , political science , quantum mechanics , politics , law , economic growth
The objective of this study was to devise an improved method of accelerating the iterative computation of steady state simulations of chemical processes. An extension of the dominant eigenvalue method is presented and its effectiveness is tested with simulations of chemical processes. The method is compared to previously available methods and is found to achieve convergence more rapidly and indeed was effective in cases where some other methods were ineffective or did not take a promotion step at all. The proposed method is applicable to the acceleration of any iterative computation of a nonlinear fixed‐point problem.