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Volumn 36, Issue 1, 1996, Pages 135-142

On the extreme spectral properties of toeplitz matrices generated by L1 functions with several minima/maxima

Author keywords

Extreme eigenvalues; Toeplitz matrices

Indexed keywords


EID: 2542631361     PISSN: 00063835     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF01740550     Document Type: Article
Times cited : (50)

References (11)
  • 1
    • 0002887353 scopus 로고
    • Spectral and computational properties of band symmetric Toeplitz matrices
    • D. Bini and M. Capovani, Spectral and computational properties of band symmetric Toeplitz matrices, Linear Algebra Appl. .52/53 (1983), pp. 99-126.
    • (1983) Linear Algebra Appl. , vol.52-53 , pp. 99-126
    • Bini, D.1    Capovani, M.2
  • 2
    • 0000102913 scopus 로고
    • Stability of methods for solving Toeplitz systems of equations
    • J.R.Bunch, Stability of methods for solving Toeplitz systems of equations, SIAM J. Sci. Stat. Comp. 6 (1985), pp. 349-364.
    • (1985) SIAM J. Sci. Stat. Comp. , vol.6 , pp. 349-364
    • Bunch, J.R.1
  • 3
    • 0001090278 scopus 로고
    • Toeplitz preconditioners for Toeplitz systems with nonnegative generating functions
    • R. H. Chan, Toeplitz preconditioners for Toeplitz systems with nonnegative generating functions, IMA J. Numer. Anal. 11 (1991), pp. 333-345.
    • (1991) IMA J. Numer. Anal. , vol.11 , pp. 333-345
    • Chan, R.H.1
  • 5
    • 51249172268 scopus 로고
    • Multigrid methods for Toeplitz matrices
    • G. Fiorentino and S. Serra, Multigrid methods for Toeplitz matrices, Calcolo 28 (1992), pp. 283-305.
    • (1992) Calcolo , vol.28 , pp. 283-305
    • Fiorentino, G.1    Serra, S.2
  • 7
    • 0000405592 scopus 로고
    • On the eigenvalues of certain Hermitian forms
    • M. Kac, W. L. Murdoch and G. Szegö, On the eigenvalues of certain Hermitian forms, J. Rational Mech. Anal. 2 (1953), pp. 767-800.
    • (1953) J. Rational Mech. Anal. , vol.2 , pp. 767-800
    • Kac, M.1    Murdoch, W.L.2    Szegö, G.3
  • 8
    • 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 (1966), pp. 153-192.
    • (1966) Trans. Amer. Math. Soc. , vol.99 , pp. 153-192
    • Parter, S.V.1
  • 9
    • 0041110736 scopus 로고
    • Remarks on extreme eigenvalues of Toeplitz matrices
    • M. Pourahmadi, Remarks on extreme eigenvalues of Toeplitz matrices, Internat. J. Math. and Math. Sci. 11 (1988), pp. 23-26
    • (1988) Internat. J. Math. and Math. Sci. , vol.11 , pp. 23-26
    • Pourahmadi, M.1
  • 10
    • 0041494509 scopus 로고    scopus 로고
    • On the extreme eigenvalues of Hermitian (block) Toeplitz matrices
    • to appear
    • S. Serra, On the extreme eigenvalues of Hermitian (block) Toeplitz matrices, Linear Algebra Appl. (to appear).
    • Linear Algebra Appl.
    • Serra, S.1
  • 11
    • 84968509710 scopus 로고
    • On the eigenvalues of certain Hermitian operators
    • H. Widom, On the eigenvalues of certain Hermitian operators, Trans. Amer. Math. Soc. 88 (1958), pp. 491-522.
    • (1958) Trans. Amer. Math. Soc. , vol.88 , pp. 491-522
    • Widom, H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.