Nonnegative matrices with prescribed elementary divisors

DOI10.13001/1081-3810.1264zbMath1149.15009OpenAlexW2140657438MaRDI QIDQ3516445

Javier Ccapa, Ricardo L. Soto

Publication date: 6 August 2008

Published in: The Electronic Journal of Linear Algebra (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/129335

zbMATH Keywords

spectrumnonnegative matricesinverse elementary divisor problem

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) Stochastic matrices (15B51)

Related Items (19)

Permutative universal realizability ⋮ On the universal realizability problem ⋮ Nonnegative realizability with Jordan structure ⋮ Nonnegative matrices with prescribed spectrum and elementary divisors ⋮ M -matrices with prescribed elementary divisors ⋮ On universal realizability of spectra ⋮ Brauer's theorem and nonnegative matrices with prescribed diagonal entries ⋮ Unnamed Item ⋮ Realizing Suleĭmanova spectra via permutative matrices. II. ⋮ Nonnegative persymmetric matrices with prescribed elementary divisors ⋮ Universal realizability of spectra with two positive eigenvalues ⋮ Inverse problems for symmetric doubly stochastic matrices whose Suleĭmanova spectra are bounded below by 1/2 ⋮ 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 ⋮ The NIEP ⋮ Spectra inhabiting the left half-plane that are universally realizable ⋮ On elementary divisors perturbation of nonnegative matrices ⋮ On new universal realizability criteria

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