On a numerical construction of doubly stochastic matrices with prescribed eigenvalues

DOI10.1088/1361-6420/acd273zbMath1515.65084arXiv2208.11610OpenAlexW4368347949MaRDI QIDQ6159104

Hassan Issa, Kassem Rammal, Bassam Mourad, Hassane Abbas

Publication date: 1 June 2023

Published in: Inverse Problems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2208.11610

zbMATH Keywords

nonnegative matricesinverse eigenvalue problemdoubly stochastic matricesalternating projectionsdoubly stochastic realization

Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) Inverse problems in linear algebra (15A29) Stochastic matrices (15B51) Numerical solutions to inverse eigenvalue problems (65F18)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Genetic code, Hamming distance and stochastic matrices
• Restricted normal cones and the method of alternating projections: theory
• On a spectral property of doubly stochastic matrices and its application to their inverse eigenvalue problem
• Transversality and alternating projections for nonconvex sets
• Closest matrices in the space of generalized doubly stochastic matrices
• The nonnegative inverse eigenvalue problem.
• On the doubly stochastic realization of spectra
• Alternating projection method for doubly stochastic inverse eigenvalue problems with partial eigendata
• Efficient numerical algorithms for constructing orthogonal generalized doubly stochastic matrices
• A note on the real inverse spectral problem for doubly stochastic matrices
• A note on the boundary of the set where the decreasingly ordered spectra of symmetric doubly stochastic matrices Lie
• An algorithm for constructing doubly stochastic matrices for the inverse eigenvalue problem
• Dynamical systems that sort lists, diagonalize matrices, and solve linear programming problems
• Generalization of some results concerning eigenvalues of a certain class of matrices and some applications
• Proximity Maps for Convex Sets
• An Algorithm for Restricted Least Squares Regression
• Designing structured tight frames via an alternating projection method
• Matrix Analysis
• Row Stochastic Matrices Similar to Doubly Stochastic Matrices
• Semi-Algebraic Local-Triviality in Semi-Algebraic Mappings
• Constructing Symmetric Nonnegative Matrices with Prescribed Eigenvalues by Differential Equations
• Composition and union of general algorithms of optimization
• A Numerical Method for the Inverse Stochastic Spectrum Problem
• An inverse problem for symmetric doubly stochastic matrices
• Riemannian Newton-CG methods for constructing a positive doubly stochastic matrix from spectral data*
• Manifold Optimization Over the Set of Doubly Stochastic Matrices: A Second-Order Geometry
• Alternating Projections on Manifolds
• Numerical Methods for Solving Inverse Eigenvalue Problems for Nonnegative Matrices
• Bounds for permanents of non-negative matrices
• Functional Operators (AM-22), Volume 2