Spectral Evolution of a One-Parameter Extension of a Real Symmetric Toeplitz Matrix

DOI10.1137/0611043zbMath0717.15008OpenAlexW2065398637MaRDI QIDQ3204605

William F. Trench

Publication date: 1990

Published in: SIAM Journal on Matrix Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0611043

zbMATH Keywords

inverse eigenvalue problemsymmetric eigenvectorsreal symmetric Toeplitz matrixspectral evolution

Mathematics Subject Classification ID

Inequalities involving eigenvalues and eigenvectors (15A42) Eigenvalues, singular values, and eigenvectors (15A18) Hermitian, skew-Hermitian, and related matrices (15B57)

Related Items

The stability group of symmetric Toeplitz matrices ⋮ A linear transformation and its properties with special applications in time series filtering ⋮ Matrix inverse problem and its optimal approximation problem for \(R\)-symmetric matrices ⋮ Spectral properties of Kac-Murdock-Szegö matrices with a complex parameter ⋮ Constrained inverse eigenproblem and associated approximation problem for anti-Hermitian \(R\)-symmetric matrices ⋮ Characterization and properties of matrices with generalized symmetry or skew symmetry. ⋮ Inverse eigenproblems and associated approximation problems for matrices with generalized symmetry or skew symmetry. ⋮ Asymptotic distribution of the even and odd spectra of real symmetric Toeplitz matrices ⋮ Asymptotic spectral properties of totally symmetric multilevel Toeplitz matrices ⋮ The Inverse Eigenvalue Problem for Real Symmetric Toeplitz Matrices ⋮ A class of constrained inverse eigenproblem and associated approximation problem for skew symmetric and centrosymmetric matrices ⋮ Spectral functions for real symmetric Toeplitz matrices ⋮ Spectral distribution of generalized Kac-Murdock-Szegö matrices