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A note on the hyperbolic singular value decomposition. (English) Zbl 0933.15016
Summary: A procedure is presented for constructing the hyperbolic singular value decomposition of a matrix \(A\) with respect to a signature matrix \(\Phi\). When the rank of \(A\) is less than the rank of \(A^H\Phi A\), the decomposition preserves the structure of the isotropic subspace of the column space of \(A\).

MSC:
15A18 Eigenvalues, singular values, and eigenvectors
15A23 Factorization of matrices
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