Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1181038 | Chemometrics and Intelligent Laboratory Systems | 2011 | 10 Pages |
Abstract
In this paper we provide the means to analyse the second-order differential structure of optimization functions concerning CANDECOMP/PARAFAC and INDSCAL. Closed-form formulas are given under two types of constraint: unit-length columns or orthonormality of two of the three component matrices. Some numerical problems that might occur during the computation of the Jacobian and Hessian matrices are addressed. The use of these matrices is illustrated in three applications.
Related Topics
Physical Sciences and Engineering
Chemistry
Analytical Chemistry
Authors
Jorge Tendeiro, Mohammed Bennani Dosse, Jos M.F. ten Berge,