On inverse eigenvalue problems for block Toeplitz matrices with Toeplitz blocks

DOI10.1016/j.amc.2009.12.023zbMath1192.65040OpenAlexW1976201229MaRDI QIDQ979264

Rui Ralha, Yu Lin Zhang, Carla Ferreira, Zhong-Yun Liu

Publication date: 25 June 2010

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

Full work available at URL: http://hdl.handle.net/1822/11391

zbMATH Keywords

algorithmnumerical resultseigenvectorsNewton methodinverse eigenvalue problemblock Toeplitz matrixgeneralized \(K\)-centrosymmetric matrix

Mathematics Subject Classification ID

Numerical solutions to inverse eigenvalue problems (65F18) Toeplitz, Cauchy, and related matrices (15B05)

Related Items (3)

Solution of the linearly structured partial polynomial inverse eigenvalue problem ⋮ CONSTRUCTION OF FULL H-MATRICES WITH THE GIVEN EIGENVALUES BASED ON THE GIVENS MATRICES ⋮ Fast solvers for tridiagonal Toeplitz linear systems

Uses Software

• Matlab

Cites Work

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• The Cayley method and the inverse eigenvalue problem for Toeplitz matrices
• Sufficient conditions for the solubility of inverse eigenvalue problems
• On \(\kappa\)-real and \(\kappa\)-Hermitian matrices
• Inverting block Toeplitz matrices in block Hessenberg form by means of displacement operators: Application to queueing problems
• Isospectral flows and the inverse eigenvalue problem for Toeplitz matrices
• Eigenvectors of certain matrices
• A note on computing matrix-vector products with generalized centrosymmetric (centro-Hermitian) matrices
• Initial Values for the Inverse Toeplitz Eigenvalue Problem
• A Spectral Characterization of Generalized Real Symmetric Centrosymmetric and Generalized Real Symmetric Skew-Centrosymmetric Matrices
• On the inverse problem of constructing symmetric pentadiagonal Toeplitz matrices from their three largest eigenvalues
• Structured inverse eigenvalue problems
• The Formulation and Analysis of Numerical Methods for Inverse Eigenvalue Problems
• A survey of matrix inverse eigenvalue problems
• A Numerical Approach to the Inverse Toeplitz Eigenproblem
• Inverse Eigenvalue Problems for Symmetric Toeplitz Matrices
• The Inverse Eigenvalue Problem for Real Symmetric Toeplitz Matrices
• On the asymptotic spectrum of Hermitian block Toeplitz matrices with Toeplitz blocks
• Numerical Solution of the Inverse Eigenvalue Problem for Real Symmetric Toeplitz Matrices
• Inverse Eigenvalue Problems
• Asymptotic eigenvalue distribution of block Toeplitz matrices and application to blind SIMO channel identification
• On Some Inverse Eigenvalue Problems with Toeplitz-Related Structure

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