The solution of orthogonal Procrustes problems for a family of orthogonally invariant norms

DOI10.1007/BF02521606zbMath0831.65048OpenAlexW2081926135MaRDI QIDQ1895920

G. Alistair Watson

Publication date: 22 February 1996

Published in: Advances in Computational Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02521606

zbMATH Keywords

Newton's methodFrobenius normorthogonal matrixorthogonal Procrustes problemorthogonality invariant norms

Mathematics Subject Classification ID

Related Items (6)

Perturbation Bounds for Procrustes, Classical Scaling, and Trilateration, with Applications to Manifold Learning ⋮ Local extrema for procrustes problems in the set of positive definite matrices ⋮ Procrustes problems and Parseval quasi-dual frames ⋮ G-frame operator distance problems ⋮ Generalized frame operator distance problems ⋮ An Eigenvalue-Based Method for the Unbalanced Procrustes Problem

Cites Work

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• A generalized solution of the orthogonal Procrustes problem
• The orthogonal approximation of an oblique structure in factor analysis
• The Projected Gradient Method for Least Squares Matrix Approximations with Spectral Constraints
• Analysis of Measurements Based on the Singular Value Decomposition
• Optimal matrices describing linear systems.
• Least Squares Approximation by Real Normal Matrices with Specified Spectrum
• Some Metric Inequalities in the Space of Matrices

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