Application of the alternating direction method for an inverse monic quadratic eigenvalue problem

DOI10.1016/j.amc.2014.07.011zbMath1335.15020OpenAlexW1982705251MaRDI QIDQ278291

Kang Zhao, Guo-Zhu Yao

Publication date: 2 May 2016

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2014.07.011

zbMATH Keywords

convex programmingalternating direction methodinverse monic quadratic eigenvalue problempartial eigenstructure

Mathematics Subject Classification ID

Convex programming (90C25) Eigenvalues, singular values, and eigenvectors (15A18) Inverse problems in linear algebra (15A29) Numerical solutions to inverse eigenvalue problems (65F18)

Related Items (9)

A direct method for updating mass and stiffness matrices with submatrix constraints ⋮ Solution of the linearly structured partial polynomial inverse eigenvalue problem ⋮ Delay dynamic double integral inequalities on time scales with applications ⋮ Updating \(\star \)-palindromic quadratic systems with no spill-over ⋮ A note on convex relaxations for the inverse eigenvalue problem ⋮ An inverse eigenvalue problem in symmetric sparse quadratic model updating ⋮ On inverse eigenvalue problems of quadratic palindromic systems with partially prescribed eigenstructure ⋮ Least squares solutions of quadratic inverse eigenvalue problem with partially bisymmetric matrices under prescribed submatrix constraints ⋮ A new updating method for the damped mass-spring systems

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A solution of the affine quadratic inverse eigenvalue problem
• A numerical method of structure-preserving model updating problem and its perturbation theory
• Alternating direction method for structure-persevering finite element model updating problem
• Model-updating for self-adjoint quadratic eigenvalue problems
• Computing a nearest symmetric positive semidefinite matrix
• The constrained solutions of two matrix equations
• A proximal point algorithm revisit on the alternating direction method of multipliers
• The Quadratic Eigenvalue Problem
• Applications of the alternating direction method of multipliers to the semidefinite inverse quadratic eigenvalue problem with a partial eigenstructure
• Symmetry preserving eigenvalue embedding in finite-element model updating of vibrating structures
• A smoothing Newton's method for the construction of a damped vibrating system from noisy test eigendata
• A Dual Optimization Approach to Inverse Quadratic Eigenvalue Problems with Partial Eigenstructure
• Quadratic Model Updating with Symmetry, Positive Definiteness, and No Spill-Over
• Optimization Procedure to Correct Stiffness and Flexibility Matrices Using Vibration Tests
• Symmetric tridiagonal inverse quadratic eigenvalue problems with partial eigendata
• Best Approximate Solution of Matrix Equation AXB+CYD=E
• Navigating in a Graph by Aid of Its Spanning Tree Metric

This page was built for publication: Application of the alternating direction method for an inverse monic quadratic eigenvalue problem