On the nonuniqueness of the factorization factors in the product singular value decomposition

DOI10.1016/S0024-3795(00)00136-1zbMath0970.65034MaRDI QIDQ1580534

Bart De Moor, Delin Chu

Publication date: 7 October 2001

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

zbMATH Keywords

Procrustes problemproduct singular value decomposition

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Numerical solutions to overdetermined systems, pseudoinverses (65F20)

Related Items (2)

Compute lim_{λ → 0}X(λI_p+YAX)⁻¹Yby the product singular value decomposition ⋮ Pure PSVD approach to Sylvester-type quaternion matrix equations

Cites Work

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• On the structure and geometry of the product singular value decomposition
• Computation of system balancing transformations and other applications of simultaneous diagonalization algorithms
• A New Preprocessing Algorithm for the Computation of the Generalized Singular Value Decomposition
• Computing the Singular Value Decomposition of a Product of Two Matrices
• Generalizations of the Singular Value and QR-Decompositions

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