A proximal point-like method for symmetric finite element model updating problems

DOI10.1007/s40314-014-0176-1zbMath1328.65149OpenAlexW2040939767MaRDI QIDQ747223

Kang Zhao, An-Ping Liao, Guo-Zhu Yao

Publication date: 23 October 2015

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

Full work available at URL: https://doi.org/10.1007/s40314-014-0176-1

zbMATH Keywords

global convergencevariational inequalitiesconstrained optimizationfinite elementKarush-Kuhn-Tucker optimality conditionsmodel updatingquadratic eigenvalue problemnumerical resultproximal point methodmass-spring systempartially prescribed eigenvalue problem

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Variational inequalities (49J40) Numerical methods based on nonlinear programming (49M37) Pole and zero placement problems (93B55) Numerical solution of nonlinear eigenvalue and eigenvector problems (65H17) Numerical methods for variational inequalities and related problems (65K15)

Related Items (4)

Delay dynamic double integral inequalities on time scales with applications ⋮ Updating \(\star \)-palindromic quadratic systems with no spill-over ⋮ The LMAPS for solving fourth-order PDEs with polynomial basis functions ⋮ An inverse eigenvalue problem in symmetric sparse quadratic model updating

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Quadratic model updating with gyroscopic structure from partial eigendata
• Standard triples of structured matrix polynomials
• A solution of the affine quadratic inverse eigenvalue problem
• A numerical method of structure-preserving model updating problem and its perturbation theory
• Model-updating for self-adjoint quadratic eigenvalue problems
• Proximal-point algorithm using a linear proximal term
• Computing a nearest symmetric positive semidefinite matrix
• Finite element model updating in structural dynamics
• Stability of linear gyroscopic systems: a review
• A customized proximal point algorithm for convex minimization with linear constraints
• 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 Real-Valued Spectral Decomposition of the Undamped Gyroscopic System with Applications
• A Dual Optimization Approach to Inverse Quadratic Eigenvalue Problems with Partial Eigenstructure
• Quadratic Model Updating with Symmetry, Positive Definiteness, and No Spill-Over
• Monotone Operators and the Proximal Point Algorithm
• Optimization Procedure to Correct Stiffness and Flexibility Matrices Using Vibration Tests
• Numerical Optimization
• On the convergence rate of customized proximal point algorithm for convex optimization and saddle-point problem
• Symmetric tridiagonal inverse quadratic eigenvalue problems with partial eigendata

This page was built for publication: A proximal point-like method for symmetric finite element model updating problems