The four-dimensional Perfect-Mirsky Conjecture

DOI10.1090/S0002-9939-2014-12412-9zbMath1311.15031OpenAlexW2069277356WikidataQ123333447 ScholiaQ123333447MaRDI QIDQ5179378

Jeremy Levick, Rajesh Pereira, David W. Kribs

Publication date: 19 March 2015

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-2014-12412-9

zbMATH Keywords

eigenvalueseigenvectorsstochastic matricesdoubly stochastic matriceslinear operators.

Mathematics Subject Classification ID

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

Related Items (10)

The NIEP for four dimensional Leslie and doubly stochastic matrices with zero trace from the coefficients of the characteristic polynomial ⋮ New views of the doubly stochastic single eigenvalue problem ⋮ The infinite dimensional Perfect-Mirsky conjecture ⋮ Eigenvalues for stochastic matrices with a prescribed stationary distribution ⋮ A matricial view of the Karpelevič theorem ⋮ Doubly stochastic matrices and the quantum channels ⋮ The NIEP ⋮ Spectra of convex hulls of matrix groups ⋮ Conjectures about determining the regions of eigenvalues of stochastic and doubly stochastic matrices ⋮ The Doubly Stochastic Single Eigenvalue Problem: A Computational Approach

Cites Work

• An inclusion region for the field of values of a doubly stochastic matrix based on its graph
• Eigenvalue regions for positive systems
• Spectral properties of doubly-stochastic matrices
• Row Stochastic Matrices Similar to Doubly Stochastic Matrices
• On a conjecture about the eigenvalues of doubly stochastic matrices
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