Symmetric tridiagonal inverse quadratic eigenvalue problems with partial eigendata

DOI10.1088/0266-5611/24/1/015005zbMath1154.35461OpenAlexW1985502054MaRDI QIDQ5459031

Zheng-Jian Bai

Publication date: 24 April 2008

Published in: Inverse Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0266-5611/24/1/015005

zbMATH Keywords

global convergenceinverse eigenvalue problemregularized Newton methodtridiagonal quadratic pencil

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) Inverse problems for PDEs (35R30) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32)

Related Items (12)

Solution of the symmetric band partial inverse eigenvalue problem for the damped mass spring system ⋮ Application of the alternating direction method for an inverse monic quadratic eigenvalue problem ⋮ A direct method for updating mass and stiffness matrices with submatrix constraints ⋮ Nearest linearly structured polynomial matrix with some prescribed distinct eigenvalues ⋮ Eigenvalue Embedding of Damped Vibroacoustic System with No-Spillover ⋮ Solutions to an inverse monic quadratic eigenvalue problem ⋮ Linearly structured quadratic model updating using partial incomplete eigendata ⋮ Alternating projection method for sparse model updating problems ⋮ An inverse eigenvalue problem in symmetric sparse quadratic model updating ⋮ A proximal point-like method for symmetric finite element model updating problems ⋮ A new updating method for the damped mass-spring systems ⋮ An inverse problem for undamped gyroscopic systems

Uses Software

• CGS

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