An invariant subspace‐based approach to the random eigenvalue problem of systems with clustered spectrum

DOI10.1002/nme.4276zbMath1253.65054OpenAlexW1933989846MaRDI QIDQ4897992

Debraj Ghosh, Roger G. Ghanem

Publication date: 29 December 2012

Published in: International Journal for Numerical Methods in Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/nme.4276

zbMATH Keywords

repeated eigenvaluespolynomial chaosrandom eigenvalueclustered eigenvalues

Mathematics Subject Classification ID

Gaussian processes (60G15) Numerical computation of eigenvalues and eigenvectors of matrices (65F15)

Related Items (9)

Subspace inverse power method and polynomial chaos representation for the modal frequency responses of random mechanical systems ⋮ Application of the random eigenvalue problem in forced response analysis of a linear stochastic structure ⋮ An interval random perturbation method for structural-acoustic system with hybrid uncertain parameters ⋮ Fuzzy interval perturbation method for uncertain heat conduction problem with interval and fuzzy parameters ⋮ An efficient reduced‐order method for stochastic eigenvalue analysis ⋮ Inexact Methods for Symmetric Stochastic Eigenvalue Problems ⋮ A mode tracking method in modal metamodeling for structures with clustered eigenvalues ⋮ Inverse Subspace Iteration for Spectral Stochastic Finite Element Methods ⋮ Stochastic model order reduction in randomly parametered linear dynamical systems

Cites Work

• Unnamed Item
• Stochastic model reduction for chaos representations
• Localization phenomena in structural dynamics
• Perturbation theory for linear operators.
• Modeling uncertainty in flow simulations via generalized polynomial chaos.
• On the construction and analysis of stochastic models: characterization and propagation of the errors associated with limited data
• The rotation of eigenvectors by a perturbation. II
• The rotation of eigenvectors by a perturbation
• The orthogonal development of non-linear functionals in series of Fourier-Hermite functionals
• ORTHOGONAL POLYNOMIAL EXPANSIONS FOR SOLVING RANDOM EIGENVALUE PROBLEMS
• Stochastic Perturbation Theory
• Asymptotic Sampling Distribution for Polynomial Chaos Representation from Data: A Maximum Entropy and Fisher Information Approach
• A solution of the random eigenvalue problem by a dimensional decomposition method
• Stochastic dynamic systems with complex-valued eigensolutions
• Efficient characterization of the random eigenvalue problem in a polynomial chaos decomposition
• Stochastic convergence acceleration through basis enrichment of polynomial chaos expansions
• Strain and stress computations in stochastic finite element methods
• Calculation of eigenvector derivatives for structures with repeated eigenvalues
• Generation of Localization in a Discrete Chain with Periodic Boundary Conditions: Numerical and Analytical Results
• Physical Systems with Random Uncertainties: Chaos Representations with Arbitrary Probability Measure
• A Note on Local Behavior of Multiple Eigenvalues
• The eigenvalue problem for structural systems with statistical properties.
• Rates of change of eigenvalues and eigenvectors.
• The Rotation of Eigenvectors by a Perturbation. III
• Random Eigenvalue Problems in Structural Analysis
• The Homogeneous Chaos

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