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Construction of a Hermitian Toeplitz matrix from an arbitrary set of eigenvalues

1992/01/01 by Fazal Noor, S.D. Morgera · 1 citation
Computer Science · Engineering · Mathematics · #Matrix Theory and Algorithms #graph theory and CDMA systems #Algebraic and Geometric Analysis #Toeplitz matrix #Hermitian matrix #Eigenvalues and eigenvectors #Matrix (chemical analysis) #Mathematics #Symmetric matrix #Inverse #Combinatorics #Eigendecomposition of a matrix #Pure mathematics #Algebra over a field #Applied mathematics #Physics #Geometry

paper · doi:10.1109/78.149978

openalex publication_date 1992/01/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/29

Abstract

A solution to the inverse eigenvalue problem for Hermitian Toeplitz matrices is presented. The approach taken is to first construct a real symmetric negacyclic matrix of order 2n and to then relate the negacyclic matrix to a Hermitian Toeplitz matrix of order n with the desired eigenspectrum.>

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