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The First Order Asymptotics of the Extreme Eigenvectors of Certain Hermitian Toeplitz Matrices |
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| Authors: | A. Böttcher S. Grudsky E. A. Maksimenko J. Unterberger |
| Affiliation: | 1. Fakult?t für Mathematik, TU Chemnitz, D-09107, Chemnitz, Germany 2. Departamento de Matemáticas, CINVESTAV del I.P.N, Apartado Postal 14-740, 07000, México, D.F., México 3. Institut élie Cartan, Université Henri Poincaré Nancy I, B.P. 239, 54506, Vand?uvre-lès-Nancy Cedex, France |
| Abstract: | The paper is concerned with Hermitian Toeplitz matrices generated by a class of unbounded symbols that emerge in several applications. The main result gives the third order asymptotics of the extreme eigenvalues and the first order asymptotics of the extreme eigenvectors of the matrices as their dimension increases to infinity. This work was partially supported by CONACYT projects 60160 and 80504, Mexico. |
| Keywords: | KeywordHeading" >Mathematics Subject Classification (2000). Primary 47B35 Secondary 15A18, 41A80, 46N30 |
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