Inverse Elementary Divisor Problem for Nonnegative Matrices

DOI10.2307/2044230zbMath0472.15006OpenAlexW4243934567MaRDI QIDQ3926737

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Publication date: 1981

Full work available at URL: https://doi.org/10.2307/2044230

zbMATH Keywords

inverse eigenvalue problemelementary divisors

Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) Positive matrices and their generalizations; cones of matrices (15B48) Stochastic matrices (15B51)

Related Items (20)

Permutative universal realizability ⋮ Diagonals of matrices stochastically similar to a given matrix ⋮ On the universal realizability problem ⋮ Nonnegative realizability with Jordan structure ⋮ On universal realizability in the left half-plane ⋮ A characterization of Jordan canonical forms which are similar to eventually nonnegative matrices with the properties of nonnegative matrices. ⋮ Nonnegative matrices with prescribed spectrum and elementary divisors ⋮ M -matrices with prescribed elementary divisors ⋮ On universal realizability of spectra ⋮ Unnamed Item ⋮ On the Jordan form of an irreducible matrix with eventually non-negative powers ⋮ Copositivity and complete positivity. Abstracts from the workshop held October 29 -- Novermber 4, 2017 ⋮ On spectra realizable and diagonalizably realizable ⋮ Nonnegative persymmetric matrices with prescribed elementary divisors ⋮ Universal realizability of spectra with two positive eigenvalues ⋮ Universal realizability in low dimension ⋮ 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 new universal realizability criteria

Cites Work

• Inverse elementary divisors problem for doubly stochastic matrices^†
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