EUDML | Generalized norms of matrices and the location of the spectrum

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Displaying similar documents to “Generalized norms of matrices and the location of the spectrum”

On matrices with non-positive off-diagonal elements and positive principal minors

Miroslav Fiedler, Vlastimil Pták (1962)

Czechoslovak Mathematical Journal

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Some Inequalities for the Spectrum of a Matrix

Miroslav Fiedler, Vlastimil Pták (1960)

Matematicko-fyzikálny časopis

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Binomial matrices

Miroslav Fiedler (1984)

Mathematica Slovaca

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The Gerschgorin discs under unitary similarity

Anna Zalewska-Mitura, Jaroslav Zemánek (1997)

Banach Center Publications

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The intersection of the Gerschgorin regions over the unitary similarity orbit of a given matrix is studied. It reduces to the spectrum in some cases: for instance, if the matrix satisfies a quadratic equation, and also for matrices having "large" singular values or diagonal entries. This leads to a number of open questions.