Universal realizability of spectra with two positive eigenvalues

DOI10.1016/j.laa.2018.01.039zbMath1391.15037OpenAlexW2790725309MaRDI QIDQ1743083

Charles R. Johnson, Macarena Collao, Ricardo L. Soto

Publication date: 12 April 2018

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

Full work available at URL: https://doi.org/10.1016/j.laa.2018.01.039

zbMATH Keywords

nonnegative matrixinverse eigenvalue problemJordan canonical formsuniversal realizability

Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) Inverse problems in linear algebra (15A29) Canonical forms, reductions, classification (15A21)

Related Items

Nonnegative realizability with Jordan structure, On universal realizability of spectra, Brauer's theorem and nonnegative matrices with prescribed diagonal entries, On real algebras generated by positive and nonnegative matrices, On spectra realizable and diagonalizably realizable, Universal realizability in low dimension, The role of certain Brauer and Rado results in the nonnegative inverse spectral problems, Toeplitz nonnegative realization of spectra via companion matrices, Spectra inhabiting the left half-plane that are universally realizable

Cites Work

• Negativity compensation in the nonnegative inverse eigenvalue problem
• The inverse eigenvalue problem for nonnegative matrices
• Methods of constructing certain stochastic matrices. II
• Existence and construction of nonnegative matrices with prescribed spectrum
• Nonnegative matrices with prescribed spectrum and elementary divisors
• 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
• Nonnegative inverse elementary divisors problem in the left half plane
• Nonnegatively realizable spectra with two positive eigenvalues
• On nonnegative realization of partitioned spectra
• Symmetric nonnegative realization of spectra
• Nonnegative matrices with prescribed elementary divisors
• A refinement of an inequality of Johnson, Loewy and London on nonnegative matrices and some applications
• Row Stochastic Matrices Similar to Doubly Stochastic Matrices
• Inverse Elementary Divisor Problem for Nonnegative Matrices
• The NIEP