메뉴 건너뛰기




Volumn 327, Issue 1-3, 2001, Pages 181-196

Chebyshev-Hankel matrices and the splitting approach for centrosymmetric Toeplitz-plus-Hankel matrices

Author keywords

15A48; Chebyshev polynomials; Fast algorithms; Hankel matrix; Toeplitz matrix

Indexed keywords


EID: 0035871544     PISSN: 00243795     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0024-3795(00)00300-1     Document Type: Article
Times cited : (15)

References (21)
  • 2
    • 0003090115 scopus 로고
    • Superfast solution of real positive definite Toeplitz systems
    • Ammar G.S., Gragg W.B. Superfast solution of real positive definite Toeplitz systems. SIAM J. Matrix Analysis Appl. 9:1988;61-76.
    • (1988) SIAM J. Matrix Analysis Appl. , vol.9 , pp. 61-76
    • Ammar, G.S.1    Gragg, W.B.2
  • 3
    • 0021497366 scopus 로고
    • Zero location with respect to the unit circle of discrete-time linear system polynomials
    • Bistritz Y. Zero location with respect to the unit circle of discrete-time linear system polynomials. Proc. IEEE. 72:1984;1131-1142.
    • (1984) Proc. IEEE , vol.72 , pp. 1131-1142
    • Bistritz, Y.1
  • 4
    • 0000081585 scopus 로고
    • Asymptotically fast solution of Toeplitz and related systems of linear equations
    • Bitmead R.R., Anderson B.D.O. Asymptotically fast solution of Toeplitz and related systems of linear equations. Linear Algebra Appl. 34:1980;103-116.
    • (1980) Linear Algebra Appl. , vol.34 , pp. 103-116
    • Bitmead, R.R.1    Anderson, B.D.O.2
  • 5
    • 84983014125 scopus 로고
    • Fast solution of Toeplitz systems of equations and computation of Padé approximants
    • Brent R., Gustavson F., Yun D. Fast solution of Toeplitz systems of equations and computation of Padé approximants. J. Algorithms. 1:1980;259-295.
    • (1980) J. Algorithms , vol.1 , pp. 259-295
    • Brent, R.1    Gustavson, F.2    Yun, D.3
  • 6
    • 0020840365 scopus 로고
    • The one-dimensional inverse problem of reflection seismology
    • Bube K.P., Burridge R. The one-dimensional inverse problem of reflection seismology. SIAM Rev. 25:1983;497-559.
    • (1983) SIAM Rev. , vol.25 , pp. 497-559
    • Bube, K.P.1    Burridge, R.2
  • 8
    • 0023348295 scopus 로고
    • On the splitting of classical algorithms in linear prediction theory
    • Delsarte P., Genin Y. On the splitting of classical algorithms in linear prediction theory. IEEE Trans. Acoust. Speech, Signal Process. ASSP-35:1987;645-653.
    • (1987) IEEE Trans. Acoust. Speech, Signal Process. , vol.35 , pp. 645-653
    • Delsarte, P.1    Genin, Y.2
  • 9
    • 0001349834 scopus 로고
    • A new algorithm for solving Toeplitz systems of equations
    • de Hoog F. A new algorithm for solving Toeplitz systems of equations. Linear Algebra Appl. 88/89:1987;123-138.
    • (1987) Linear Algebra Appl. , vol.8889 , pp. 123-138
    • De Hoog, F.1
  • 10
    • 0041355748 scopus 로고    scopus 로고
    • Matrix displacement decompositions and applications to Toeplitz linear systems
    • Di Fiore C., Zellini P. Matrix displacement decompositions and applications to Toeplitz linear systems. Linear Algebra Appl. 268:1998;197-226.
    • (1998) Linear Algebra Appl. , vol.268 , pp. 197-226
    • Di Fiore, C.1    Zellini, P.2
  • 11
  • 13
    • 0000860085 scopus 로고
    • Parallel and superfast algorithms for Hankel systems of equations
    • Heinig G., Jankowski P. Parallel and superfast algorithms for Hankel systems of equations. Numer. Math. 58:1990;109-127.
    • (1990) Numer. Math. , vol.58 , pp. 109-127
    • Heinig, G.1    Jankowski, P.2
  • 15
    • 0345960459 scopus 로고    scopus 로고
    • Representations of inverses of real Toeplitz-plus-Hankel matrices using trigonometric transformations
    • in: M. Griebel, S. Margena, P. Yalamov (Eds.) Vieweg, Braunschweig
    • G. Heinig, K. Rost, Representations of inverses of real Toeplitz-plus-Hankel matrices using trigonometric transformations, in: M. Griebel, S. Margena, P. Yalamov (Eds.), Large-scale Scientific Computation of Engineering and Enviromental Problems II, NNFM, vol. 73, Vieweg, Braunschweig, 2000, pp. 80-87.
    • (2000) Large-scale Scientific Computation of Engineering and Enviromental Problems II, NNFM , vol.73 , pp. 80-87
    • Heinig, G.1    Rost, K.2
  • 16
    • 0037409841 scopus 로고    scopus 로고
    • Centro-symmetric and centro-skewsymmetric Toeplitz matrices and Bezoutians
    • (submitted)
    • G. Heinig, K. Rost, Centro-symmetric and centro-skewsymmetric Toeplitz matrices and Bezoutians, Linear Algebra Appl. (submitted).
    • Linear Algebra Appl.
    • Heinig, G.1    Rost, K.2
  • 18
    • 0027842087 scopus 로고
    • Chebyshev polynomials of the second third, and fourth kind in approximation, indefinite integration, and integral transforms
    • Mason J.C. Chebyshev polynomials of the second third, and fourth kind in approximation, indefinite integration, and integral transforms. J. Comp. Appl. Math. 49:1993;169-178.
    • (1993) J. Comp. Appl. Math. , vol.49 , pp. 169-178
    • Mason, J.C.1
  • 20
    • 0040829953 scopus 로고
    • Fast algorithms for discrete Chebyshev-Vandermonde transforms and applications
    • Tasche M. Fast algorithms for discrete Chebyshev-Vandermonde transforms and applications. Numer. Algorithms. 5:1993;453-464.
    • (1993) Numer. Algorithms , vol.5 , pp. 453-464
    • Tasche, M.1
  • 21
    • 0039260594 scopus 로고    scopus 로고
    • A stabilized superfast solver for indefinite Hankel systems
    • Van Barel M., Kravanja P. A stabilized superfast solver for indefinite Hankel systems. Linear Algebra Appl. 284:1998;335-355.
    • (1998) Linear Algebra Appl. , vol.284 , pp. 335-355
    • Van Barel, M.1    Kravanja, P.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.