Demystifying the Karpelevič theorem

DOI10.1016/J.LAA.2024.08.006MaRDI QIDQ6618705

Devon N. Munger, Andrew L. Nickerson, Pietro Paparella

Publication date: 15 October 2024

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

zbMATH Keywords

stochastic matrixKarpelevič arcKarpelevič region

Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15) Stochastic matrices (15B51)

Cites Work

• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• A matricial view of the Karpelevič theorem
• The Karpelevič region revisited
• Cyclic polygons, roots of polynomials with decreasing nonnegative coefficients, and eigenvalues of stochastic matrices
• Convex hull of powers of a complex number, trinomial equations and the Farey sequence
• On matrices with Perron--Frobenius properties and some negative entries
• Perturbation theory for linear operators.
• Stochastic matrices realising the boundary of the Karpelevič region
• Proofs of conjectures on the Karpelevich arcs in the region of eigenvalues of stochastic matrices
• On Perron-Frobenius property of matrices having some negative entries
• Recherches sur les chaînes de Markoff.
• Combinatorial matrix theory

Related Items (1)

Powers of Karpelevič arcs and their sparsest realising matrices

This page was built for publication: Demystifying the Karpelevič theorem

Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6618705)