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A nonsingularlity criterion for complex matrices - MaRDI portal

A nonsingularlity criterion for complex matrices (Q1189628)

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scientific article; zbMATH DE number 57567
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A nonsingularlity criterion for complex matrices
scientific article; zbMATH DE number 57567

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    A nonsingularlity criterion for complex matrices (English)
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    27 September 1992
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    The author derives a new set of sufficient conditions for an \(n\times n\) complex matrix to be non-singular. Based on it, a new sufficient condition for a square matrix to have all eigenvalues with positive real parts are obtained. As an application a new characterization of the class of all non-singular \(M\)-matrices is given.
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    complex matrix
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    eigenvalues
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    characterization
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    non-singular \(M\)-matrices
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