Inverse eigenvalue problem for normal \(J\)-Hamiltonian matrices

DOI10.1016/j.aml.2015.03.007zbMath1325.15015OpenAlexW2045946559MaRDI QIDQ494545

S. Gigola, Leila Lebtahi, Nestor Janier Thome

Publication date: 1 September 2015

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2015.03.007

zbMATH Keywords

inverse eigenvalue problemMoore-Penrose inverseHamiltonian matrixnormal matrix

Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) Inverse problems in linear algebra (15A29)

Related Items (11)

The solvability conditions for the inverse eigenvalue problem of normal skew \(J\)-Hamiltonian matrices ⋮ An efficient algorithm based on Lanczos type of BCR to solve constrained quadratic inverse eigenvalue problems ⋮ The generalized inverse eigenvalue problem of Hamiltonian matrices and its approximation ⋮ Inverse eigenvalue problems for skew-Hermitian reflexive and anti-reflexive matrices and their optimal approximations ⋮ An inverse eigenvalue problem for Hamiltonian matrices ⋮ Solving constrained quadratic inverse eigenvalue problem via conjugate direction method ⋮ Conjugate gradient-like algorithms for constrained operator equation related to quadratic inverse eigenvalue problems ⋮ Generalized inverse eigenvalue problems for Hermitian and \(J\)-Hamiltonian/skew-Hamiltonian matrices ⋮ An inverse eigenproblem for generalized reflexive matrices with normal $k+1$-potencies ⋮ Solving generalized inverse eigenvalue problems via L-BFGS-B method ⋮ A note on the structure of normal Hamiltonian matrices

Cites Work

• The inverse eigenvalue problem for a Hermitian reflexive matrix and the optimization problem
• The autonomous linear quadratic control problem. Theory and numerical solution
• Generalized inverses. Theory and applications.
• Inverse Eigenvalue Problems
• The solvability conditions for the inverse eigenvalue problem of Hermitian and generalized skew-Hamiltonian matrices and its approximation
• Inverse eigenvalue problem in structural design
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