Perturbation analysis of the orthogonal Procrustes problem

DOI10.1007/BF01990543zbMath0795.65021MaRDI QIDQ1317870

Inge Söderkvist

Publication date: 22 March 1994

Published in: BIT (Search for Journal in Brave)

zbMATH Keywords

stabilitycondition numberperturbation boundsorthogonal matrixorthogonal Procrustes problem

Mathematics Subject Classification ID

Numerical mathematical programming methods (65K05) Quadratic programming (90C20)

Related Items (6)

On condition numbers and algorithms for determining a rigid body movement ⋮ Perturbation Bounds for Procrustes, Classical Scaling, and Trilateration, with Applications to Manifold Learning ⋮ Robust registration of point sets using iteratively reweighted least squares ⋮ Robust registration of surfaces using a refined iterative closest point algorithm with a trust region approach ⋮ Reliable updates of the transformation in the iterative closest point algorithm ⋮ Uncertainty characterization of the orthogonal Procrustes problem with arbitrary covariance matrices

Cites Work

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• Perturbation bounds on the polar decomposition
• The symmetric Procrustes problem
• A generalized solution of the orthogonal Procrustes problem
• The orthogonal approximation of an oblique structure in factor analysis
• Computing the Polar Decomposition—with Applications
• Analysis of Measurements Based on the Singular Value Decomposition
• Polar Decomposition and Matrix Sign Function Condition Estimates

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