Semi-definite programming techniques for structured quadratic inverse eigenvalue problems
From MaRDI portal
Publication:964207
DOI10.1007/s11075-009-9309-9zbMath1187.65036OpenAlexW2021617691WikidataQ34482882 ScholiaQ34482882MaRDI QIDQ964207
Moody T. Chu, Bo Dong, Matthew M. Lin
Publication date: 15 April 2010
Published in: Numerical Algorithms (Search for Journal in Brave)
Full work available at URL: http://europepmc.org/articles/pmc4226539
numerical examplessemi-definite programmingstructural constraintsquadratic inverse eigenvalue problemsupdating a vibration system
Pole and zero placement problems (93B55) Numerical solutions to inverse eigenvalue problems (65F18) Systems arising from the discretization of structural vibration problems (70J50) Matrix pencils (15A22)
Related Items
Structure preserving eigenvalue embedding for undamped gyroscopic systems, An augmented Lagrangian dual optimization approach to the \(H\)-weighted model updating problem, Quadratic model updating with gyroscopic structure from partial eigendata, The augmented Lagrangian method based on the APG strategy for an inverse damped gyroscopic eigenvalue problem, Solving constrained quadratic inverse eigenvalue problem via conjugate direction method, The eigenvalue shift technique and its eigenstructure analysis of a matrix, A note on convex relaxations for the inverse eigenvalue problem, Least squares solutions of quadratic inverse eigenvalue problem with partially bisymmetric matrices under prescribed submatrix constraints, Semidefinite inverse eigenvalue problems with prescribed entries and partial eigendata, A new method of updating mass and stiffness matrices simultaneously with no spillover
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Solving semidefinite-quadratic-linear programs using SDPT3
- Model-updating for self-adjoint quadratic eigenvalue problems
- A model updating method for undamped structural systems
- Solutions to a quadratic inverse eigenvalue problem
- Reducing huge gyroscopic eigenproblems by automated multi-level substructuring
- An approach for large-scale gyroscopic eigenvalue problems with application to high-frequency response of rolling tires
- Gradient flow methods for matrix completion with prescribed eigenvalues.
- Duality system in applied mechanics and optimal control.
- Finite element model updating in structural dynamics
- Robust Eigenstructure Assignment in Quadratic Matrix Polynomials: Nonsingular Case
- The Quadratic Eigenvalue Problem
- Inverse problems for damped vibrating systems
- A numerical method for quadratic eigenvalue problems of gyroscopic systems
- Symmetry preserving eigenvalue embedding in finite-element model updating of vibrating structures
- Spectral decomposition of real symmetric quadratic $\lambda $-matrices and its applications
- Semidefinite optimization
- Updating quadratic models with no spillover effect on unmeasured spectral data
- Practical Optimization
- A Dual Optimization Approach to Inverse Quadratic Eigenvalue Problems with Partial Eigenstructure
- Optimization Procedure to Correct Stiffness and Flexibility Matrices Using Vibration Tests
- Primal-Dual Interior-Point Methods for Semidefinite Programming: Convergence Rates, Stability and Numerical Results
- A Symmetric Inverse Vibration Problem for Nonproportional Underdamped Systems
- On Inverse Quadratic Eigenvalue Problems with Partially Prescribed Eigenstructure
- Interior Point Methods in Semidefinite Programming with Applications to Combinatorial Optimization
- An Inverse Eigenvalue Problem for the Symmetric Tridiagonal Quadratic Pencil with Application to Damped Oscillatory Systems
- PARTIAL EIGENSTRUCTURE ASSIGNMENT FOR THE QUADRATIC PENCIL
- Solutions of the Partially Described Inverse Quadratic Eigenvalue Problem
- Handbook of semidefinite programming. Theory, algorithms, and applications
