Trendafilov, Nickolay T.
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|DOI (Digital Object Identifier) Link:||http://doi.org/10.2333/bhmk.26.167|
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In the paper proposed we will make use of the gradient flow approach to consider a generalization of the well-known oblique Procrustes rotation problem, involving oblique simple structure rotation of both the core and component matrices resulting from three-mode factor analysis. The standard oblique Procrustes rotations to specified factor-structure and factor-pattern follow as special cases. The approach adopted leads to globally convergent algorithm and includes solving of initial value problem for certain matrix ordinary differential equation. Necessary conditions are established for the solution of the problem. The same approach is extended easily to the weighted oblique Procrustes rotation. Finally, some simulated numerical results are given and commented.
|Item Type:||Journal Article|
|Copyright Holders:||1999 Behaviormetrika|
|Project Funding Details:||
|Keywords:||oblique Procrustes problem; three-mode factor analysis; simple structure rotation; projected gradient flows; optimality conditions|
|Academic Unit/Department:||Faculty of Science, Technology, Engineering and Mathematics (STEM) > Mathematics and Statistics
Faculty of Science, Technology, Engineering and Mathematics (STEM)
|Depositing User:||Sarah Frain|
|Date Deposited:||15 Mar 2011 15:56|
|Last Modified:||02 Aug 2016 14:00|
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