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Volumn 270, Issue 1-3, 1998, Pages 109-129

On the extreme eigenvalues of Hermitian (block) Toeplitz matrices

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EID: 0041494509     PISSN: 00243795     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0024-3795(97)00231-0     Document Type: Article
Times cited : (137)

References (20)
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  • 2
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    • Toeplitz preconditioners for Toeplitz systems with nonnegative generating functions
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  • 4
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    • Multigrid methods for Toeplitz matrices
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    • Fiorentino, G.1    Serra, S.2
  • 8
    • 0042058285 scopus 로고
    • On Toeplitz forms and stationary processes
    • U. Grenander, On Toeplitz forms and stationary processes, Ark. Math. 1:555-571 (1951).
    • (1951) Ark. Math. , vol.1 , pp. 555-571
    • Grenander, U.1
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    • 84968504291 scopus 로고
    • Extreme eigenvalues of Toeplitz forms and applications to elliptic difference equations
    • S. V. Parter, Extreme eigenvalues of Toeplitz forms and applications to elliptic difference equations, Trans. Amer. Math. Soc. 99:153-192 (1966).
    • (1966) Trans. Amer. Math. Soc. , vol.99 , pp. 153-192
    • Parter, S.V.1
  • 12
    • 0041110736 scopus 로고
    • Remarks on extreme eigenvalues of Toeplitz matrices
    • M. Pourahmadi, Remarks on extreme eigenvalues of Toeplitz matrices, Internat. J. Math. Math. Sci. 11:23-26 (1988).
    • (1988) Internat. J. Math. Math. Sci. , vol.11 , pp. 23-26
    • Pourahmadi, M.1
  • 14
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    • Some purely deterministic processes
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  • 16
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    • Preconditioning strategies for asymptotically ill-conditioned Toeplitz matrices
    • S. Serra, Preconditioning strategies for asymptotically ill-conditioned Toeplitz matrices, BIT 34:579-593 (1994).
    • (1994) BIT , vol.34 , pp. 579-593
    • Serra, S.1
  • 17
    • 2542631361 scopus 로고    scopus 로고
    • 1 functions with several minima (maxima)
    • 1 functions with several minima (maxima), BIT 36:135-142 (1996).
    • (1996) BIT , vol.36 , pp. 135-142
    • Serra, S.1
  • 18
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    • Asymptotic results on the spectra block Toeplitz preconditioned matrices
    • to appear
    • S. Serra, Asymptotic results on the spectra block Toeplitz preconditioned matrices, SIAM J. Matrix Anal. Appl., to appear.
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  • 20
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    • Widom, H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.