A sufficient condition for the existence of an \(M\)-matrix with prescribed spectrum

DOI10.1016/S0898-1221(01)00203-6zbMath0983.15017OpenAlexW2046280671MaRDI QIDQ5948844

Ricardo L. Soto

Publication date: 12 November 2001

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0898-1221(01)00203-6

zbMATH Keywords

nonnegative matrix\(M\)-matricesinverse spectrum problemprescribed complex spectrum

Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) Inverse problems in linear algebra (15A29) Positive matrices and their generalizations; cones of matrices (15B48)

Cites Work

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• A characterization of trace zero nonnegative \(5\times 5\) matrices
• Limits for the characteristic roots of a matrix. IV. Applications to stochastic matrices
• An inequality for nonnegative matrices and the inverse eigenvalue problem
• A note on an inverse problem for nonnegative matrices

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