Some notes on the spectra of nonnegative symmetric 5 × 5 matrices

DOI10.1080/03081087.2019.1646205zbMath1466.15015OpenAlexW2967627550MaRDI QIDQ4992542

Raphael Loewy, Oren Spector

Publication date: 9 June 2021

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

Full work available at URL: https://doi.org/10.1080/03081087.2019.1646205

zbMATH Keywords

nonnegative matrixinverse eigenvalue problemsymmetric matrix

Mathematics Subject Classification ID

Inverse problems in linear algebra (15A29) Positive matrices and their generalizations; cones of matrices (15B48)

Cites Work

• Unnamed Item
• Ruling out certain 5-spectra for the symmetric nonnegative inverse eigenvalue problem
• The symmetric nonnegative inverse eigenvalue problem for \(5 \times 5\) matrices
• A necessary condition for the spectrum of nonnegative symmetric \(5\times 5\) matrices
• A note on the convexity of the realizable set of eigenvalues for nonnegative symmetric matrices
• A refinement of an inequality of Johnson, Loewy and London on nonnegative matrices and some applications
• Row Stochastic Matrices Similar to Doubly Stochastic Matrices
• A note on an inverse problem for nonnegative matrices
• $M$-matrices satisfy Newton’s inequalities

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