Nonnegative matrices with prescribed spectrum and elementary divisors

DOI10.1016/j.laa.2013.09.034zbMath1283.15048OpenAlexW1980422104MaRDI QIDQ2435561

Mario Salas, Ricardo L. Soto, Hans Nina, Roberto C. Díaz

Publication date: 19 February 2014

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

Full work available at URL: https://doi.org/10.1016/j.laa.2013.09.034

zbMATH Keywords

inverse problemnonnegative matricescomplex eigenvaluesnonnegative inverse elementary divisors problemprescribed elementary divisors

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)

Related Items

Permutative universal realizability, On nonnegative matrices with prescribed eigenvalues and diagonal entries, On the universal realizability problem, Nonnegative realizability with Jordan structure, On universal realizability in the left half-plane, M -matrices with prescribed elementary divisors, On universal realizability of spectra, Persymmetric and bisymmetric nonnegative inverse eigenvalue problem, Nonnegative persymmetric matrices with prescribed elementary divisors, Universal realizability of spectra with two positive eigenvalues, Normal nonnegative realization of spectra, Universal realizability in low dimension, Nonnegative inverse elementary divisors problem in the left half plane, The role of certain Brauer and Rado results in the nonnegative inverse spectral problems, Toeplitz nonnegative realization of spectra via companion matrices, The NIEP, Spectra inhabiting the left half-plane that are universally realizable, On new universal realizability criteria

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