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A further study on left and right inverse eigenvalue problem of semipositive subdefinite matrices - MaRDI portal

A further study on left and right inverse eigenvalue problem of semipositive subdefinite matrices (Q2746285)

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scientific article; zbMATH DE number 1655788
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A further study on left and right inverse eigenvalue problem of semipositive subdefinite matrices
scientific article; zbMATH DE number 1655788

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    10 October 2001
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    left and right inverse eigenvalue problem
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    semi-positive subdefinite matrices
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    generalized singular value decomposition
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    A further study on left and right inverse eigenvalue problem of semipositive subdefinite matrices (English)
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    This paper deals with a kind of left and right inverse eigenvalue problem for the so-called semi-positive subdefinite matrices. A criterion for the semi-positive subdefiniteness of a \(3\times 3\) block-matrix is presented. Applying this criterion, the general expression of the solution of the left and right inverse eigenvalue problem is obtained by using the generalized singular value decomposition.
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