Banded matrices with banded inverses (Q1195391)

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scientific article; zbMATH DE number 69593
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English
Banded matrices with banded inverses
scientific article; zbMATH DE number 69593

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    Banded matrices with banded inverses (English)
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    26 October 1992
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    The author focuses on general multivariate rectangular Toeplitz matrices and gives a criterion for the existence of banded inverses. He applies the result to multivariate interpolation on the regular lattices \(Z^ s\). Some examples of bivariate interpolation by cubic splines and reconstruction methods based on integer translates of ripplets are presented.
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    multivariate cardinal interpolation
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    multivariate rectangular Toeplitz matrices
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    banded inverses
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    multivariate interpolation
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    bivariate interpolation
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    cubic splines
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    reconstruction methods
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