Open AccessAnalysis and Improvement of the Q-iteration Method
Author(s) -
Z H Zhang,
Shi Zeng,
Dongxiang Jiang
Publication year - 2022
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/2147/1/012005
Subject(s) - convergence (economics) , relaxation (psychology) , mathematics , rate of convergence , cascade , range (aeronautics) , value (mathematics) , iterative method , power iteration , mathematical optimization , distribution (mathematics) , computer science , mathematical analysis , statistics , chemistry , materials science , psychology , social psychology , computer network , channel (broadcasting) , chromatography , economics , composite material , economic growth
The q -iteration method is simple, efficient and robust in determining the concentration distribution in an isotope separation cascade with a known hydraulic state. The expression of the quantity q and the value of the relaxation factor of the q -iteration method have a significant influence on the convergence rate of iteration. Through analyzing the convergence of the q -iteration method, an improved method for updating q is proposed, and the value range of the relaxation factor is obtained. Numerical analysis shows that the improved method can significantly speed up the convergence. By selecting an appropriate value of the relaxation factor, the convergence can be further improved.