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Extremal ranks of matrix expression of \(A - BXC\) with respect to Hermitian matrix - MaRDI portal

Extremal ranks of matrix expression of \(A - BXC\) with respect to Hermitian matrix (Q606788)

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scientific article; zbMATH DE number 5817327
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Extremal ranks of matrix expression of \(A - BXC\) with respect to Hermitian matrix
scientific article; zbMATH DE number 5817327

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    Extremal ranks of matrix expression of \(A - BXC\) with respect to Hermitian matrix (English)
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    18 November 2010
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    The authors discuss the extremal ranks of matrix expression of \(A - BXC\) with respect to \(X^H = X\), by applying the quotient singular value decomposition and some rank equalities of matrices.
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    minimal rank
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    maximal rank
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    Moore-Penrose generalized inverses
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    Hermitian matrix
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    quotient singular value decomposition
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