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Rank structure of generalized inverses of rectangular banded matrices - MaRDI portal

Rank structure of generalized inverses of rectangular banded matrices (Q862044)

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scientific article; zbMATH DE number 5121608
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Rank structure of generalized inverses of rectangular banded matrices
scientific article; zbMATH DE number 5121608

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    Rank structure of generalized inverses of rectangular banded matrices (English)
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    2 February 2007
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    The authors present a detailed analysis of the structures of some generalized inverses of rectangular banded matrices. They show that the submatrices belonging to a specified part of the inverses have ranks bounded by the sum of the band-width and the nullity of the adjoint. Moreover, they find an explicit representation formula for the Moore-Penrose inverse of a rectangular banded matrix having non-vanishing elements in the outermost diagonal.
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