An inverse problem for singular values and the Jacobian of the elementary symmetric functions (Q1319991)

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scientific article; zbMATH DE number 553963
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An inverse problem for singular values and the Jacobian of the elementary symmetric functions
scientific article; zbMATH DE number 553963

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    An inverse problem for singular values and the Jacobian of the elementary symmetric functions (English)
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    21 August 1994
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    A method is given for finding a column vector which when inserted as a new column in a given nonnegative diagonal matrix, yields prescribed singular values. It involves linear equations on the squares of the column entries. Properties of the coefficient matrix are also studied.
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    inverse problem
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    elementary symmetric functions
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    Vandermonde matrix
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    prescribed singular values
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