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Conjectures about determining the regions of eigenvalues of stochastic and doubly stochastic matrices

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Publication:2070847
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DOI10.1016/j.laa.2021.12.011zbMath1481.15035OpenAlexW4200401643WikidataQ123122101 ScholiaQ123122101MaRDI QIDQ2070847

Bara Kim, Jeongsim Kim

Publication date: 24 January 2022

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

Full work available at URL: https://doi.org/10.1016/j.laa.2021.12.011

zbMATH Keywords

eigenvaluesstochastic matricesdoubly stochastic matrices


Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) Stochastic matrices (15B51)


Related Items

The infinite dimensional Perfect-Mirsky conjecture



Cites Work

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  • A matricial view of the Karpelevič theorem
  • Cyclic polygons, roots of polynomials with decreasing nonnegative coefficients, and eigenvalues of stochastic matrices
  • A new statement about the theorem determining the region of eigenvalues of stochastic matrices
  • Proofs of conjectures on the Karpelevich arcs in the region of eigenvalues of stochastic matrices
  • Spectral properties of doubly-stochastic matrices
  • The NIEP
  • The four-dimensional Perfect-Mirsky Conjecture
  • On a conjecture about the eigenvalues of doubly stochastic matrices
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