On a spectral property of doubly stochastic matrices and its application to their inverse eigenvalue problem

DOI10.1016/j.laa.2011.11.034zbMath1247.15030OpenAlexW2019274474MaRDI QIDQ417473

Bassam Mourad

Publication date: 14 May 2012

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

Full work available at URL: https://doi.org/10.1016/j.laa.2011.11.034

zbMATH Keywords

inverse eigenvalue problemdoubly stochastic matrices

Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) Inverse problems in linear algebra (15A29) Stochastic matrices (15B51) Conditioning of matrices (15A12)

Related Items (13)

On the positive semi-definite pth roots of positive semi-definite doubly stochastic matrices ⋮ An algorithm for constructing doubly stochastic matrices for the inverse eigenvalue problem ⋮ A recursive method for constructing doubly stochastic matrices and inverse eigenvalue problem ⋮ A note on the real inverse spectral problem for doubly stochastic matrices ⋮ Tristochastic operations and products of quantum states ⋮ On a numerical construction of doubly stochastic matrices with prescribed eigenvalues ⋮ An approach to the stability of reset switched systems using dynamics without reset ⋮ Solving constrained quadratic inverse eigenvalue problem via conjugate direction method ⋮ On the symmetric doubly stochastic inverse eigenvalue problem ⋮ On the inverse eigenvalue problem for irreducible doubly stochastic matrices of small orders ⋮ On the symmetric doubly stochastic matrices that are determined by their spectra and their connection with spectral graph theory ⋮ A Riemannian Fletcher--Reeves Conjugate Gradient Method for Doubly Stochastic Inverse Eigenvalue Problems ⋮ Generalization of some results concerning eigenvalues of a certain class of matrices and some applications

Cites Work

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• Spectral properties of doubly-stochastic matrices
• An algorithm for constructing doubly stochastic matrices for the inverse eigenvalue problem
• Constructing symmetric nonnegative matrices
• Row Stochastic Matrices Similar to Doubly Stochastic Matrices
• A note on an inverse problem for nonnegative matrices
• On a Lie-theoretic approach to generalized doubly stochastic matrices and applications
• An inverse problem for symmetric doubly stochastic matrices
• Bounds for permanents of non-negative matrices

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