The Inverse Eigenvalue Problem for Real Symmetric Toeplitz Matrices

DOI10.2307/2152790zbMath0813.15006OpenAlexW4233629394MaRDI QIDQ4305904

Henry J. Landau

Publication date: 15 May 1995

Full work available at URL: https://doi.org/10.2307/2152790

zbMATH Keywords

eigenvectorsspectruminverse eigenvalue problemreal symmetric Toeplitz matricesregular Toeplitz matrices

Mathematics Subject Classification ID

Degree, winding number (55M25) Eigenvalues, singular values, and eigenvectors (15A18) Canonical forms, reductions, classification (15A21)

Related Items (17)

Centrosymmetric isospectral flows and some inverse eigenvalue problems ⋮ Solution of the symmetric band partial inverse eigenvalue problem for the damped mass spring system ⋮ Solution of the linearly structured partial polynomial inverse eigenvalue problem ⋮ Similarity of block companion and block Toeplitz matrices ⋮ Inverse spectral problem for pseudo-Jacobi matrices with partial spectral data ⋮ Lie-Poisson methods for isospectral flows ⋮ On the spectral structure of Jordan-Kronecker products of symmetric and skew-symmetric matrices ⋮ A note on convex relaxations for the inverse eigenvalue problem ⋮ A new algebra of Toeplitz-plus-Hankel matrices and applications ⋮ The inverse eigenvalue problem for entanglement witnesses ⋮ Descent flow methods for inverse Sturm-Liouville problem ⋮ Unnamed Item ⋮ On inverse eigenvalue problems for block Toeplitz matrices with Toeplitz blocks ⋮ Not every matrix is similar to a Toeplitz matrix ⋮ Goldbach's conjecture in max-algebra ⋮ Isospectral flows and the inverse eigenvalue problem for Toeplitz matrices ⋮ Interlacement of the even and odd spectra of real symmetric Toeplitz matrices

Cites Work

• Interlacement of the even and odd spectra of real symmetric Toeplitz matrices
• Spectral Evolution of a One-Parameter Extension of a Real Symmetric Toeplitz Matrix
• Inverse Eigenvalue Problems for Symmetric Toeplitz Matrices
• A Note on the Eigenvalues of Hermitian Matrices
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