A general solution of the weighted orthonormal Procrustes problem

DOI10.1007/BF02294614zbMath0716.92027OpenAlexW1963694051MaRDI QIDQ753730

Ab Mooijaart, Jacques J. F. Commandeur

Publication date: 1990

Published in: Psychometrika (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02294614

zbMATH Keywords

algorithmgeneral solutionglobal minimumINDSCALleast squares criterionIDIOSCALtwo-dimensional caseweighted orthonormal Procrustes problem

Mathematics Subject Classification ID

One- and multidimensional scaling in the social and behavioral sciences (91C15)

Related Items (6)

On the correspondence between Procrustes analysis and bidimensional regression ⋮ Escher-like Tilings with Weights ⋮ Algorithms for the orthographic-\(n\)-point problem ⋮ An efficient algorithm for joint correspondence analysis ⋮ Minimization of a class of matrix trace functions by means of refined majorization ⋮ Anisotropic orthogonal Procrustes analysis

Cites Work

• On Browne's solution for oblique Procrustes rotation
• A solution to the weighted Procrustes problem in which the transformation is in agreement with the loss function
• Orthogonal Procrustes rotation for two or more matrices
• A general solution to Mosier's oblique Procrustes problem
• A direct approach to individual differences scaling using increasingly complex transformations
• A generalized solution of the orthogonal Procrustes problem
• Multidimensional rotation and scaling of configurations to optimal agreement
• On the Stationary Values of a Second-Degree Polynomial on the Unit Sphere

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