On the spectra of matrices having nonnegative sums of principal minors

DOI10.1016/0024-3795(83)90167-2zbMath0521.15004OpenAlexW2035354334MaRDI QIDQ1055507

Daniel Hershkowitz

Publication date: 1983

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0024-3795(83)90167-2

zbMATH Keywords

spectrumP-matrixelementary symmetric functionslocalization of the eigenvaluespositive principal minors

Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) Positive matrices and their generalizations; cones of matrices (15B48) Polynomials in real and complex fields: location of zeros (algebraic theorems) (12D10)

Related Items

On the positive stability of \(P^2\)-matrices ⋮ On a criterion of \(D\)-stability for \(P\)-matrices ⋮ Spectra of matrices with P-matrix powers ⋮ On a conjecture on the eigenvalues ofp-matrices ⋮ The Spectra of Matrices Having Sums of Principal Minors with Alternating Sign ⋮ Spectra with positive elementary symmetric functions ⋮ The positive Q-matrix completion problem ⋮ The sum of squared logarithms inequality in arbitrary dimensions ⋮ On the spectra of \(P\)- and \(P_ 0\)-matrices ⋮ Localization of the spectra of \(P\)- and \(P_0\)-matrices

Cites Work

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• Localization of the spectra of \(P\)- and \(P_0\)-matrices
• On complex eigenvalues of M and P matrices
• A class of positive stable matrices