Maximization of sums of quotients of quadratic forms and some generalizations

DOI10.1007/BF02301414zbMath0833.62052OpenAlexW1999786454MaRDI QIDQ1901383

Henk A. L. Kiers

Publication date: 20 March 1996

Published in: Psychometrika (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02301414

zbMATH Keywords

simple structure rotationgeneralized discriminant analysismonotonically convergent algorithmbinormamin rotationreciprocal principal components analysisset component analysis

Mathematics Subject Classification ID

Factor analysis and principal components; correspondence analysis (62H25) Classification and discrimination; cluster analysis (statistical aspects) (62H30) Applications of mathematical programming (90C90)

Related Items (5)

Setting up alternating least squares and iterative majorization algorithms for solving various matrix optimization problems ⋮ Quadratic minimisation problems in statistics ⋮ A monotonically convergent algorithm for orthogonal congruence rotation ⋮ Optimal scaling by alternating length-constrained nonnegative least squares, with application to distance-based analysis ⋮ Anisotropic orthogonal Procrustes analysis

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A generalization of Kristof's theorem on the trace of certain matrix products
• Majorization as a tool for optimizing a class of matrix functions
• Some results on proper eigenvalues and eigenvectors with applications to scaling
• Principal component analysis of three-mode data by means of alternating least squares algorithms
• Generalized eigenvalue problems with positive semi-definite matrices
• Simple structure in component analysis techniques for mixtures of qualitative and quantitative variables
• Minimization of a class of matrix trace functions by means of refined majorization
• A unified treatment of the weighting problem
• Component analysis in cross-sectional and longitudinal data
• The vec-permutation matrix, the vec operator and Kronecker products: a review
• Hierarchical relations between methods for simultaneous component analysis and a technique for rotation to a simple simultaneous structure
• On Nonlinear Fractional Programming

This page was built for publication: Maximization of sums of quotients of quadratic forms and some generalizations