Successive projection method for solving the unbalanced Procrustes problem

DOI10.1007/s11425-006-0971-2zbMath1112.65039OpenAlexW1894340352MaRDI QIDQ867767

Keqin Du, Zhenyue Zhang

Publication date: 16 February 2007

Published in: Science in China. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-006-0971-2

zbMATH Keywords

least squares problemsorthogonal constraint

Mathematics Subject Classification ID

Numerical solutions to overdetermined systems, pseudoinverses (65F20)

Related Items (10)

Reconstruction of helices from their orthogonal projection ⋮ 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 ⋮ 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 ⋮ Trace ratio optimization with an application to multi-view learning ⋮ Algorithms for the orthographic-\(n\)-point problem ⋮ Projected nonmonotone search methods for optimization with orthogonality constraints ⋮ An Eigenvalue-Based Method for the Unbalanced Procrustes Problem ⋮ Maximizing sum of coupled traces with applications

Cites Work

• Unnamed Item
• A parallel algorithm for the unbalanced orthogonal Procrustes problem
• A generalized solution of the orthogonal Procrustes problem
• A Projection Method for Least Squares Problems with a Quadratic Equality Constraint
• The Procrustes Problem for Orthogonal Stiefel Matrices

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