On Two-Sided Orthogonal Procrustes Problems
- 1 March 1968
- journal article
- Published by Cambridge University Press (CUP) in Psychometrika
- Vol. 33 (1) , 19-33
- https://doi.org/10.1007/bf02289673
Abstract
A least squares method for approximating a given symmetric matrix B by another matrix B which is orthogonally similar to a second given matrix A is derived and then generalized to nonsymmetric (but square) A and B. A possible application to ordering problems is discussed.Keywords
This publication has 12 references indexed in Scilit:
- Derivation of Likelihood-Ratio Tests for Guttman Quasi-Simplex Covariance StructuresPsychometrika, 1966
- A Generalized Solution of the Orthogonal Procrustes ProblemPsychometrika, 1966
- A Method of Successive Cumulations for the Scaling of Pair-Comparison Preference JudgmentsPsychometrika, 1965
- Multidimensional scaling by optimizing goodness of fit to a nonmetric hypothesisPsychometrika, 1964
- The Analysis of Proximities: Multidimensional Scaling with an Unknown Distance Function. I.Psychometrika, 1962
- Scaling a SimplexPsychometrika, 1962
- The procrustes program: Producing direct rotation to test a hypothesized factor structureBehavioral Science, 1962
- The Orthogonal Approximation of an Oblique Structure in Factor AnalysisPsychometrika, 1952
- Symbolic Matrix DerivativesThe Annals of Mathematical Statistics, 1948
- The approximation of one matrix by another of lower rankPsychometrika, 1936