A family of realizability criteria for the real and symmetric nonnegative inverse eigenvalue problem

DOI10.1002/nla.835zbMath1289.15052OpenAlexW1635248123MaRDI QIDQ5397323

Ricardo L. Soto

Publication date: 19 February 2014

Published in: Numerical Linear Algebra with Applications (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10533/173535

zbMATH Keywords

Perron eigenvaluesymmetric nonnegative inverse eigenvalue problemnonnegative inverse eigenvalue problemrealizability criterion

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 (15)

Connecting sufficient conditions for the symmetric nonnegative inverse eigenvalue problem ⋮ A Riemannian inexact Newton-CG method for constructing a nonnegative matrix with prescribed realizable spectrum ⋮ On sufficient conditions for the RNIEP and their margins of realizability ⋮ On the universal realizability problem ⋮ A Riemannian inexact Newton dogleg method for constructing a symmetric nonnegative matrix with prescribed spectrum ⋮ On the symmetric doubly stochastic inverse eigenvalue problem ⋮ A characterization of trace-zero sets realizable by compensation in the SNIEP ⋮ The real nonnegative inverse eigenvalue problem is NP-hard ⋮ A map of sufficient conditions for the symmetric nonnegative inverse eigenvalue problem ⋮ Various \(3 \times 3\) nonnegative matrices with prescribed eigenvalues and diagonal entries ⋮ The role of certain Brauer and Rado results in the nonnegative inverse spectral problems ⋮ Updating a map of sufficient conditions for the real nonnegative inverse eigenvalue problem ⋮ The NIEP ⋮ Spectra inhabiting the left half-plane that are universally realizable ⋮ On new universal realizability criteria

Cites Work

• Negativity compensation in the nonnegative inverse eigenvalue problem
• A unified view on compensation criteria in the real nonnegative inverse eigenvalue problem
• A map of sufficient conditions for the real nonnegative inverse eigenvalue problem
• The nonnegative inverse eigenvalue problem from the coefficients of the characteristic polynomial. EBL digraphs
• Eigenvalues of nonnegative symmetric matrices
• Existence and construction of nonnegative matrices with prescribed spectrum
• Realizability criterion for the symmetric nonnegative inverse eigenvalue problem
• Applications of a Brauer theorem in the nonnegative inverse eigenvalue problem
• Limits for the characteristic roots of a matrix. IV. Applications to stochastic matrices
• Functions Preserving Nonnegativity of Matrices
• The real and the symmetric nonnegative inverse eigenvalue problems are different
• Row Stochastic Matrices Similar to Doubly Stochastic Matrices
• A note on an inverse problem for nonnegative matrices

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