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Eigenvalues and eigenvectors of large order banded matrices

✍ Scribed by I.S. Raju; G.Venkateswara Rao; T.V.G.K. Murthy


Publisher
Elsevier Science
Year
1974
Tongue
English
Weight
540 KB
Volume
4
Category
Article
ISSN
0045-7949

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## Abstract Let __Ξ»__ be an eigenvalue of an infinite Toeplitz band matrix __A__ and let __Ξ»~n~__ be an eigenvalue of the __n__ Γ—__n__ truncation __A~n~__ of __A__ . Suppose __Ξ»~n~__ converges to __Ξ»__ as __n__ β†’ ∞. We show that generically the eigenspaces for __Ξ»~n~__ are onedimensional and contai