Shorted operators and rank decomposition matrices (Q1078632)

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scientific article; zbMATH DE number 3961844
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Shorted operators and rank decomposition matrices
scientific article; zbMATH DE number 3961844

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    Shorted operators and rank decomposition matrices (English)
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    1986
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    The author gives results related to the equation \(r(S)+r(A-S)=r(A)\), where r is the rank and A, S are \(n\times n\) matrices. He derives a formula for S with given row and column space and if it exists, relates it to a rank minimization problem and to Schur complements.
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    rank decomposition
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    shorted operator
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    rank minimization
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    Schur complements
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