The Spectra of Matrices Having Sums of Principal Minors with Alternating Sign

DOI10.1137/0608009zbMath0623.15002OpenAlexW1977644652MaRDI QIDQ3760666

Jürgen Garloff, Volker Hattenbach

Publication date: 1987

Published in: SIAM Journal on Algebraic Discrete Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0608009

zbMATH Keywords

spectral radiusP-matrixprincipal minorssimple positive eigenvaluePN-matrixSPN-matrix

Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) Positive matrices and their generalizations; cones of matrices (15B48)

Cites Work

• Localization of the spectra of \(P\)- and \(P_0\)-matrices
• On the spectra of matrices having nonnegative sums of principal minors
• On partially non-positive matrices
• On complex eigenvalues of M and P matrices
• Some Aspects of the Theory of $PN$-Matrices
• A Note Concerning the Properties of a Certain Class of Test Matrices
• The Production Coefficient Matrix and the Stolper-Samuelson Condition
• Unnamed Item

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