Least-squares solutions of generalized inverse eigenvalue problem over Hermitian-Hamiltonian matrices with a submatrix constraint

DOI10.1007/s40314-016-0363-3zbMath1394.15011OpenAlexW2466299745MaRDI QIDQ1655398

Jing Cai, Jian-Long Chen

Publication date: 9 August 2018

Published in: Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40314-016-0363-3

zbMATH Keywords

optimal approximationsubmatrix constraintgeneralized inverse eigenvalue problemHermitian-Hamiltonian matrix

Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) Inverse problems in linear algebra (15A29) Numerical solutions to inverse eigenvalue problems (65F18) Numerical solution to inverse problems in abstract spaces (65J22)

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The generalized conjugate direction method for solving quadratic inverse eigenvalue problems over generalized skew Hamiltonian matrices with a submatrix constraint ⋮ An efficient algorithm based on Lanczos type of BCR to solve constrained quadratic inverse eigenvalue problems ⋮ Solving constrained quadratic inverse eigenvalue problem via conjugate direction method ⋮ An inverse eigenvalue problem in symmetric sparse quadratic model updating ⋮ Least squares solutions of quadratic inverse eigenvalue problem with partially bisymmetric matrices under prescribed submatrix constraints ⋮ Solving generalized inverse eigenvalue problems via L-BFGS-B method

Cites Work

• A generalized inverse eigenvalue problem in structural dynamic model updating
• Computing a nearest symmetric positive semidefinite matrix
• The autonomous linear quadratic control problem. Theory and numerical solution
• A survey on inverse and generalized inverse eigenvalue problems for Jacobi matrices
• Practical Optimization
• The Linear-Quadratic Control Problem for Retarded Systems with Delays in Control and Observation
• On the generalized inverse eigenvalue problem of constructing symmetric pentadiagonal matrices from three mixed eigendata
• On the Solvability Condition and Numerical Algorithm for the Parameterized Generalized Inverse Eigenvalue Problem
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