Solving inverse eigenvalue problems via Householder and rank-one matrices

DOI10.1016/j.laa.2008.07.021zbMath1161.65028OpenAlexW2057127113MaRDI QIDQ958025

Sheng-Xin Zhu, Xing-Ping Liu, Tong-Xiang Gu

Publication date: 2 December 2008

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

Full work available at URL: https://doi.org/10.1016/j.laa.2008.07.021

zbMATH Keywords

algorithmsnumerical examplessymmetric nonnegative inverse eigenvalue problemHouseholder transformationrank one updating

Mathematics Subject Classification ID

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

Related Items

On the symmetric doubly stochastic inverse eigenvalue problem, Inverse problems for symmetric doubly stochastic matrices whose Suleĭmanova spectra are bounded below by 1/2, A Riemannian Fletcher--Reeves Conjugate Gradient Method for Doubly Stochastic Inverse Eigenvalue Problems

Cites Work

• Methods of constructing certain stochastic matrices. II
• Construction of nonnegative symmetric matrices with given spectrum
• A map of sufficient conditions for the real nonnegative inverse eigenvalue problem
• Eigenvalues of nonnegative symmetric matrices
• Static output feedback -- a survey
• A matrix inverse eigenvalue problem and its application
• Constructing symmetric nonnegative matrices via the fast Fourier transform
• Realizability criterion for the symmetric nonnegative inverse eigenvalue problem
• Applications of a Brauer theorem in the nonnegative inverse eigenvalue problem
• An inverse eigenvalue problem for nonnegative matrices
• Limits for the characteristic roots of a matrix. IV. Applications to stochastic matrices
• A Numerical Method for the Inverse Sturm–Liouville Problem
• Symmetric nonnegative realization of spectra
• Constructing symmetric nonnegative matrices
• On the inverse eigenvalue problem for matrices (atomic corrections)
• Computation of Gauss-Kronrod quadrature rules
• Minimal mass solutions to inverse eigenvalue problems
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