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Asymptotic Spectra of Dense Toeplitz Matrices Are Unstable

✍ Scribed by A. Böttcher; S.M. Grudsky


Book ID
111551542
Publisher
Springer US
Year
2003
Tongue
English
Weight
88 KB
Volume
33
Category
Article
ISSN
1017-1398

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📜 SIMILAR VOLUMES


The Spectra of Toeplitz's Matrices
✍ Philip Hartman and Aurel Wintner 📂 Article 📅 1954 🏛 John Hopkins University Press 🌐 English ⚖ 1019 KB
Asymptotic distribution of the even and
✍ William F. Trench 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 87 KB

If n t rÀs n rYs0 is a real symmetric Toeplitz (RST) matrix then R n has a basis consisting of dna2e eigenvectors x satisfying (A) tx x and na2 eigenvectors y satisfying (B) ty Ày, where t is the ¯ip matrix. We say that an eigenvalue k of n is even if a k-eigenvector of n satis®es (A), or odd if a k