Applications of the alternating direction method of multipliers to the semidefinite inverse quadratic eigenvalue problem with a partial eigenstructure

DOI10.1088/0266-5611/29/7/075011zbMath1280.65036OpenAlexW2155487238MaRDI QIDQ2861882

Zheng-Jian Bai, Mei-Xiang Chen, Xiao-Ming Yuan

Publication date: 11 November 2013

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

Full work available at URL: https://doi.org/10.1088/0266-5611/29/7/075011

zbMATH Keywords

algorithm convergence constrained optimization numerical experiments projection method least squares problem alternating direction method inverse quadratic eigenvalue problem

Mathematics Subject Classification ID

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

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Application of the alternating direction method for an inverse monic quadratic eigenvalue problem ⋮ Structure preserving eigenvalue embedding for undamped gyroscopic systems ⋮ Updating \(\star \)-palindromic quadratic systems with no spill-over ⋮ Efficient algorithms for solving condition number-constrained matrix minimization problems ⋮ On inverse eigenvalue problems of quadratic palindromic systems with partially prescribed eigenstructure ⋮ An efficient method for solving a matrix least squares problem over a matrix inequality constraint ⋮ A proximal point-like method for symmetric finite element model updating problems ⋮ A new updating method for the damped mass-spring systems

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