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math-ph2009★ 28 cited
Asymptotics of eigenvalues and eigenvectors of Toeplitz matrices
Hui Dai, Zachary Geary, Leo P. Kadanoff
A Toeplitz matrix is one in which the matrix elements are constant along diagonals. The Fisher-Hartwig matrices are much-studied singular matrices in the Toeplitz family. The matri…
math-ph2007★ 3 cited
Asymptotic eigenvalue distribution of large Toeplitz matrices
Seung-Yeop Lee, Hui Dai, Eldad Bettelheim
We study the asymptotic eigenvalue distribution of Toeplitz matrices generated by a singular symbol. It has been conjectured by Widom that, for a generic symbol, the eigenvalues co…