A generalization of Takane's algorithm for DEDICOM

Henk A.L. Kiers; Jos M.F. ten Berge; Yoshio Takane; Jan de Leeuw

doi:10.1007/BF02294748

A generalization of Takane's algorithm for DEDICOM

Henk A.L. Kiers
, Jos M.F. ten Berge
, Yoshio Takane
, Jan de Leeuw

Research output: Contribution to journal › Article › Academic › peer-review

18 Citations (Scopus)

Abstract

An algorithm is described for fitting the DEDICOM model for the analysis of asymmetric data matrices. This algorithm generalizes an algorithm suggested by Takane in that it uses a damping parameter in the iterative process. Takane's algorithm does not always converge monotonically. Based on the generalized algorithm, a modification of Takane's algorithm is suggested such that this modified algorithm converges monotonically. It is suggested to choose as starting configurations for the algorithm those configurations that yield closed-form solutions in some special cases. Finally, a sufficient condition is described for monotonic convergence of Takane's original algorithm.

Original language	English
Pages (from-to)	151-158
Number of pages	8
Journal	Psychometrika
Volume	55
Issue number	1
DOIs	https://doi.org/10.1007/BF02294748
Publication status	Published - Mar-1990

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title = "A generalization of Takane's algorithm for DEDICOM",

abstract = "An algorithm is described for fitting the DEDICOM model for the analysis of asymmetric data matrices. This algorithm generalizes an algorithm suggested by Takane in that it uses a damping parameter in the iterative process. Takane's algorithm does not always converge monotonically. Based on the generalized algorithm, a modification of Takane's algorithm is suggested such that this modified algorithm converges monotonically. It is suggested to choose as starting configurations for the algorithm those configurations that yield closed-form solutions in some special cases. Finally, a sufficient condition is described for monotonic convergence of Takane's original algorithm.",

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AU - de Leeuw, Jan

PY - 1990/3

Y1 - 1990/3

N2 - An algorithm is described for fitting the DEDICOM model for the analysis of asymmetric data matrices. This algorithm generalizes an algorithm suggested by Takane in that it uses a damping parameter in the iterative process. Takane's algorithm does not always converge monotonically. Based on the generalized algorithm, a modification of Takane's algorithm is suggested such that this modified algorithm converges monotonically. It is suggested to choose as starting configurations for the algorithm those configurations that yield closed-form solutions in some special cases. Finally, a sufficient condition is described for monotonic convergence of Takane's original algorithm.

AB - An algorithm is described for fitting the DEDICOM model for the analysis of asymmetric data matrices. This algorithm generalizes an algorithm suggested by Takane in that it uses a damping parameter in the iterative process. Takane's algorithm does not always converge monotonically. Based on the generalized algorithm, a modification of Takane's algorithm is suggested such that this modified algorithm converges monotonically. It is suggested to choose as starting configurations for the algorithm those configurations that yield closed-form solutions in some special cases. Finally, a sufficient condition is described for monotonic convergence of Takane's original algorithm.

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JO - Psychometrika

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A generalization of Takane's algorithm for DEDICOM

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