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Shin's formulas for Eigenpairs of symmetric tridiagonal 2-Toeplitz matrices

Published online by Cambridge University Press:  17 April 2009

Khakim D. Ikramov
Khakim D. Ikramov
Affiliation:
Faculty of Numerical Mathematics and Cybernetics, Moscow State University, Moscow 119899, Russia e-mail: ikramov@cmc.msk.su
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Abstract

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A relationship is pointed out between the results in a recent paper of Shin's and those in a previously published paper by M.J.C. Gover.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 59 , Issue 1 , February 1999 , pp. 119 - 120
Copyright
Copyright © Australian Mathematical Society 1999

References

[1]Andrew, A.L., ‘Eigenvectors of certain matrices’, Linear Algebra Appl. 7 (1973), 151–162.CrossRefGoogle Scholar
[2]George, A., Ikramov, Kh., Tang, W.-P. and Chugunov, V.N., ‘On doubly symmetric tridiagonal forms for complex matrices and tridiagonal inverse eigenvalue problems’, SIAMJ. Matrix Anal. Appl. 17 (1966), 680–690.CrossRefGoogle Scholar
[3]Gover, M.J.C., ‘The eigenproblem of a tridiagonal 2-Toeplitz matrix’, Linear Algebra Appl. 197 (1994), 63–78.CrossRefGoogle Scholar
[4]Kim, S.D. and Parter, S.V., ‘Preconditioning cubic spline collocation discretizations of elliptic equations’, Numer. Math. 72 (1995), 39–72.CrossRefGoogle Scholar
[5]Shin, B.C., ‘A formula for eigenpairs of certain symmetric tridiagonal matrices’, Bull. Austral. Math. Soc. 55 (1997), 249–254.CrossRefGoogle Scholar
[6]Young, D.M., Iterative Solution of Large Linear Systems (Academic Press, London, New York, San Francisco, 1971).Google Scholar