Solving generalized inverse eigenvalue problems via L-BFGS-B method

DOI10.1080/17415977.2020.1763982zbMath1461.65053OpenAlexW3036373496MaRDI QIDQ4991546

Masoud Hajarian, Zeynab Dalvand

Publication date: 3 June 2021

Published in: Inverse Problems in Science and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17415977.2020.1763982

zbMATH Keywords

Newton's methodCholesky factorizationinverse eigenvalue problemJacobi rotationL-BFGS-B methodparameterized generalized inverse eigenvalue problems

Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) Inverse problems in linear algebra (15A29) Numerical solutions to inverse eigenvalue problems (65F18)

Related Items (2)

Smallest Singular Value Based Newton-Like Methods for Solving Quadratic Inverse Eigenvalue Problem ⋮ Backward error analysis and inverse eigenvalue problems for Hankel and symmetric-Toeplitz structures

Uses Software

• LBFGS-B

Cites Work

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• Generalized inverse eigenvalue problem with mixed eigendata
• Inverse eigenvalue problem for normal \(J\)-Hamiltonian matrices
• Globally convergent limited memory bundle method for large-scale nonsmooth optimization
• A generalized inverse eigenvalue problem in structural dynamic model updating
• An algorithm for symmetric generalized inverse eigenvalue problems
• A Newton iteration process for inverse eigenvalue problems
• Sufficient conditions for the solubility of inverse eigenvalue problems
• New conditions for the additive inverse eigenvalue problem for matrices
• An efficient algorithm based on Lanczos type of BCR to solve constrained quadratic inverse eigenvalue problems
• Inverse scattering problems for Sturm-Liouville operators with spectral parameter dependent on boundary conditions
• Least-squares solutions of generalized inverse eigenvalue problem over Hermitian-Hamiltonian matrices with a submatrix constraint
• Sufficient conditions for the solvability of an algebraic inverse eigenvalue problem
• Identification of an unknown spatial load distribution in a vibrating cantilevered beam from final overdetermination
• Some sufficient conditions for the solvability of inverse eigenvalue problems
• Least squares solutions of quadratic inverse eigenvalue problem with partially bisymmetric matrices under prescribed submatrix constraints
• Homotopy solution of the inverse generalized eigenvalue problems in structural dynamics
• Algorithms for lambda-matrices
• A symmetric generalized inverse eigenvalue problem in structural dynamics model updating
• Global Convergence of Online Limited Memory BFGS
• One Can Hear the Composition of a String: Experiments with an Inverse Eigenvalue Problem
• Numerical Methods for Large Eigenvalue Problems
• Convergence analysis of the parallel classical block Jacobi method for the symmetric eigenvalue problem
• Structured inverse eigenvalue problems
• Matrix Analysis
• Inverse Problems in Vibration
• The Formulation and Analysis of Numerical Methods for Inverse Eigenvalue Problems
• On the Multiplicity of Solutions of the Inverse Problem for a Vibrating Beam
• The Additive Inverse Eigenvalue Problem for Lie Perturbations
• The Additive Inverse Eigenvalue Problem and Topological Degree
• Newton's Method for a Generalized Inverse Eigenvalue Problem
• On matrix inverse eigenvalue problems
• The nonlinear eigenvalue problem
• A limited-memory quasi-Newton algorithm for bound-constrained non-smooth optimization
• Inverse problems in elasticity
• A Limited Memory Algorithm for Bound Constrained Optimization
• On the Solvability Condition and Numerical Algorithm for the Parameterized Generalized Inverse Eigenvalue Problem
• Inverse eigenvalue problem in structural design
• Particle swarm optimization in electromagnetics
• Inverse eigenvalue problems

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