Proofs of conjectures on the Karpelevich arcs in the region of eigenvalues of stochastic matrices

DOI10.1016/j.laa.2020.02.029zbMath1434.15020OpenAlexW3008090817WikidataQ113869480 ScholiaQ113869480MaRDI QIDQ2306291

Bara Kim, Jeongsim Kim

Publication date: 20 March 2020

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

Full work available at URL: https://doi.org/10.1016/j.laa.2020.02.029

zbMATH Keywords

stochastic matrixFarey pairKarpelevich arc

Mathematics Subject Classification ID

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

Related Items

Conjectures about determining the regions of eigenvalues of stochastic and doubly stochastic matrices ⋮ The Karpelevič region revisited

Cites Work

• 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
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