# 一种收敛且解唯一的SEM算法An Algorithm of Structural Equation Model with Convergence and Unique Solution

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The algorithm of structural equation model, partial least squares (PLS), has been widely applied to solve indefinite equations. But the iterative algorithm may have the problem of non-convergent and non-unique. In this paper, we propose an optimized algorithm based on the unit modular length constraint of latent variables and the prescription constraint of path coefficients. Simultaneously, we prove the convergence of the algorithm and take a set of data to validate the uniqueness of the solution.

 [1] Fornell, C. and Bookstein, F.L. (1982) Two Structural Equation Models: LISREL and PLS Applied to Consumer Ex-it-Voice Theory. Journal of Marketing Research, 19, 440-452. http://dx.doi.org/10.2307/3151718 [2] 王惠文. 偏最小二乘回归方法及其应用[M]. 北京: 国防工业出版社, 1999. [3] 王惠文, 刘强. 偏最小二乘回归模型内涵分析方法研究[J]. 北京航空航天大学学报, 2000, 26(4): 473-476. [4] 罗批, 郭继昌, 李锵, 滕建辅. 基于偏最小二乘回归建模的探讨[J]. 天津大学学报, 2002, 35(6): 783-786. [5] Tong, H.Q. (1993) Evaluation Model and Its It-erative Algorithm by Alternating Protecting. Mathematical and Computer Modelling, 18, 55-60. http://dx.doi.org/10.1016/0895-7177(93)90162-R [6] Tong, Q.L., Zou, X.C., Wang, C.M. and Tong, H.Q. (2010) A Definite Linear Algorithm for Structural Equation Model. Mathematical and Computer Modelling, 52, 744-751. http://dx.doi.org/10.1016/j.mcm.2010.05.002 [7] Wang, C.M. and Tong, H.Q. (2007) Best Iterative Initial Values for PLS in a CSI Model. Mathematical and Computer Modelling, 46, 439-444. http://dx.doi.org/10.1016/j.mcm.2006.10.009 [8] 董汉忠, 张小薇. 配方回归[J]. 计算机应用通讯, 1983(4): 36-42. [9] 方开泰, 王东谦, 吴国富. 一类带约束的回归——配方回归[J]. 计算数学, 1982(1): 57-69.