The Procrustes Problem for Orthogonal Stiefel Matrices

DOI10.1137/S106482759630992XzbMath0962.65037OpenAlexW2073337492MaRDI QIDQ4509772

Adam Lutoborski, Adam W. Bojanczyk

Publication date: 19 October 2000

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/s106482759630992x

zbMATH Keywords

projectionsnumerical examplesrelaxation methodsStiefel manifoldsProcrustes problemdistance between a point and an ellipsoidorthogonal Stiefel matrices

Mathematics Subject Classification ID

Numerical solutions to overdetermined systems, pseudoinverses (65F20)

Related Items (9)

Solving balanced Procrustes problem with some constraints by eigenvalue decomposition ⋮ On a sub‐Stiefel Procrustes problem arising in computer vision ⋮ Non-monotone algorithm for minimization on arbitrary domains with applications to large-scale orthogonal Procrustes problem ⋮ Successive projection method for solving the unbalanced Procrustes problem ⋮ Nonmonotone algorithm for minimization on closed sets with applications to minimization on Stiefel manifolds ⋮ A Block Lanczos Method for Large-Scale Quadratic Minimization Problems with Orthogonality Constraints ⋮ Algorithms for the orthographic-\(n\)-point problem ⋮ The two-to-infinity norm and singular subspace geometry with applications to high-dimensional statistics ⋮ An Eigenvalue-Based Method for the Unbalanced Procrustes Problem

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