Constructive methods for spectra with three nonzero elements in the nonnegative inverse eigenvalue problem

DOI10.1080/03081087.2017.1301361zbMath1427.15011arXiv1701.04708OpenAlexW2573090721MaRDI QIDQ5206283

Anthony G. Cronin

Publication date: 18 December 2019

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

Full work available at URL: https://arxiv.org/abs/1701.04708

zbMATH Keywords

spectral theorynonnegative matricesinverse eigenvalue problem

Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) Inverse problems in linear algebra (15A29) Eigenvalue problems for linear operators (47A75) Spectral theory; eigenvalue problems on manifolds (58C40)

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Cites Work

• A constructive version of the Boyle-Handelman theorem on the spectra of nonnegative matrices
• The nonnegative inverse eigenvalue problem from the coefficients of the characteristic polynomial. EBL digraphs
• The spectra of nonnegative matrices via symbolic dynamics
• Nonnegative realization of spectra having negative real parts
• Power series with positive coefficients arising from the characteristic polynomials of positive matrices
• Nonnegatively realizable spectra with two positive eigenvalues
• Row Stochastic Matrices Similar to Doubly Stochastic Matrices
• A note on an inverse problem for nonnegative matrices
• The spectra of nonnegative integer matrices via formal power series
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