How to transform matrices \(U_1, \dots, U_p\) to matrices \(V_1, \dots, V_p\) so that \(V_i V_j^T= {\mathbb O}\) if \(i \neq j\)?

DOI10.3934/NACO.2012.2.293zbMath1255.15007OpenAlexW2328155072MaRDI QIDQ450746

Publication date: 14 September 2012

Published in: Numerical Algebra, Control and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/naco.2012.2.293

zbMATH Keywords

singular value decomposition inner product Moore-Penrose pseudo-inverse Gram-Schmidt-like orthogonalization matrix approximations

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Eigenvalues, singular values, and eigenvectors (15A18) Quadratic and bilinear forms, inner products (15A63) Orthogonalization in numerical linear algebra (65F25)

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