Optimal matrix approximants in structural identification

DOI10.1007/BF00939891zbMath0794.93018OpenAlexW2021110522MaRDI QIDQ1321201

V. Pereyra

Publication date: 27 April 1994

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00939891

zbMATH Keywords

numerical exampleslarge space structuresmodel correlationnoisy modal datasystem identifications

Mathematics Subject Classification ID

System identification (93B30)

Related Items (17)

A no spill-over updating method for undamped structural systems ⋮ Numerical solutions of AXB = C for centrosymmetric matrix X under a specified submatrix constraint ⋮ A symmetric generalized inverse eigenvalue problem in structural dynamics model updating ⋮ Dual approaches to finite element model updating ⋮ Optimal matrix pencil approximation problem in structural dynamic model updating ⋮ Alternating direction method for structure-persevering finite element model updating problem ⋮ A constrained matrix least-squares problem in structural dynamics model updating ⋮ The matrix pencil nearness problem in structural dynamic model updating ⋮ Structural dynamic model updating techniques: a state of the art review ⋮ New symmetry preserving method for optimal correction of damping and stiffness matrices using measured modes ⋮ Numerical solutions of \(AXB = C\) for mirrorsymmetric matrix \(X\) under a specified submatrix constraint ⋮ Optimization problems on the rank of the solution to left and right inverse eigenvalue problem ⋮ Uncertainty characterization of the orthogonal Procrustes problem with arbitrary covariance matrices ⋮ A symmetric preserving iterative method for generalized Sylvester equation ⋮ Mass change detection based on reduced measurements ⋮ The submatrix constraint problem of matrix equation \(AXB+CYD=E\) ⋮ Projection and contraction method for updating simultaneously mass and stiffness matrices

Cites Work

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• On inhomogeneous eigenvalue problems. I
• The symmetric Procrustes problem
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• Proximity Maps for Convex Sets
• Optimum approximation for residual stiffness in linear system identification
• Least Change Secant Updates for Quasi-Newton Methods
• On Sparse and Symmetric Matrix Updating Subject to a Linear Equation
• Fast Numerically Stable Computations for Generalized Linear Least Squares Problems
• Optimal matrices describing linear systems.
• Least-Change Secant Updates of Nonsquare Matrices

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