메뉴 건너뛰기




Volumn 435, Issue 11, 2011, Pages 2693-2707

Using the Sherman-Morrison-Woodbury inversion formula for a fast solution of tridiagonal block Toeplitz systems

Author keywords

Sherman Morrison Woodbury inversion; Spectral factorization of matrix polynomials; System of linear equations; Tridiagonal block Toeplitz matrix

Indexed keywords

FACTORIZATION; LINEAR EQUATIONS; NUMBER THEORY; POLYNOMIALS;

EID: 79960839210     PISSN: 00243795     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.laa.2011.04.031     Document Type: Article
Times cited : (7)

References (21)
  • 1
  • 2
    • 67349258101 scopus 로고    scopus 로고
    • The cyclic reduction algorithm: From Poisson equation to stochastic processes and beyond. in memoriam of Gene H. Golub
    • D.A. Bini, and B. Meini The cyclic reduction algorithm: from Poisson equation to stochastic processes and beyond. In memoriam of Gene H. Golub Numer. Algorithms 51 1 2009 23 60
    • (2009) Numer. Algorithms , vol.51 , Issue.1 , pp. 23-60
    • Bini, D.A.1    Meini, B.2
  • 5
    • 0030246195 scopus 로고    scopus 로고
    • Conjugate gradient methods for Toeplitz systems
    • R.H. Chan, and M.K. Ng Conjugate gradient methods for Toeplitz systems SIAM Rev. 38 3 1996 427 482 (Pubitemid 126599620)
    • (1996) SIAM Review , vol.38 , Issue.3 , pp. 427-482
    • Chan, R.H.1    Michael, K.N.G.2
  • 6
    • 77950867544 scopus 로고    scopus 로고
    • A direct method to solve block banded block Toeplitz systems with non-banded Toeplitz blocks
    • A. Chesnokov, and M. Van Barel A direct method to solve block banded block Toeplitz systems with non-banded Toeplitz blocks J. Comput. Appl. Math. 234 2010 1485 1491
    • (2010) J. Comput. Appl. Math. , vol.234 , pp. 1485-1491
    • Chesnokov, A.1    Van Barel, M.2
  • 7
    • 0041494125 scopus 로고    scopus 로고
    • Efficient SVM training using low-rank kernel representations
    • S. Fine, and K. Scheinberg Efficient SVM training using low-rank kernel representations J. Mach. Learn. Res. 2 2001 243 264
    • (2001) J. Mach. Learn. Res. , vol.2 , pp. 243-264
    • Fine, S.1    Scheinberg, K.2
  • 8
    • 84966211417 scopus 로고
    • On Fourier-Toeplitz methods for separable elliptic problems
    • D. Fischer, G. Golub, O. Hald, C. Leiva, and O. Widlund On Fourier-Toeplitz methods for separable elliptic problems Math. Comput. 28 1974 349 368
    • (1974) Math. Comput. , vol.28 , pp. 349-368
    • Fischer, D.1    Golub, G.2    Hald, O.3    Leiva, C.4    Widlund, O.5
  • 10
    • 0004236492 scopus 로고    scopus 로고
    • third ed. The John Hopkins University Press Baltimore
    • G.H. Golub, and C.F. Van Loan Matrix Computations third ed. 1996 The John Hopkins University Press Baltimore
    • (1996) Matrix Computations
    • Golub, G.H.1    Van Loan, C.F.2
  • 11
    • 0024682770 scopus 로고
    • Updating the inverse of a matrix
    • W.W. Hager Updating the inverse of a matrix SIAM Rev. 31 2 1989 221 239
    • (1989) SIAM Rev. , vol.31 , Issue.2 , pp. 221-239
    • Hager, W.W.1
  • 12
    • 84932220767 scopus 로고
    • A fast direct solution of Poisson's equation using Fourier analysis
    • R.W. Hockney A fast direct solution of Poisson's equation using Fourier analysis J. ACM 12 1965 95 113
    • (1965) J. ACM , vol.12 , pp. 95-113
    • Hockney, R.W.1
  • 13
    • 0000665794 scopus 로고
    • Displacement structure: Theory and applications
    • T. Kailath, and A.H. Sayed Displacement structure: theory and applications SIAM Rev. 37 3 1995 297 386
    • (1995) SIAM Rev. , vol.37 , Issue.3 , pp. 297-386
    • Kailath, T.1    Sayed, A.H.2
  • 15
    • 34250149849 scopus 로고
    • Factorization of matrix polynomials
    • A.N. Malyshev Factorization of matrix polynomials Siberian Math. J. 23 3 1982 399 408
    • (1982) Siberian Math. J. , vol.23 , Issue.3 , pp. 399-408
    • Malyshev, A.N.1
  • 16
    • 79960843412 scopus 로고    scopus 로고
    • Pfaffian algorithms for sampling routings on regions with free boundary conditions
    • R.A. Martin, and D. Randall Pfaffian algorithms for sampling routings on regions with free boundary conditions Lecture Notes Comput. Sci. 1671 1999 399 408
    • (1999) Lecture Notes Comput. Sci. , vol.1671 , pp. 399-408
    • Martin, R.A.1    Randall, D.2
  • 17
    • 0037532899 scopus 로고    scopus 로고
    • Some algorithms for solving special tridiagonal block Toeplitz linear systems
    • DOI 10.1016/S0377-0427(02)00911-1
    • B.V. Minchev Some algorithms for solving special tridiagonal block Toeplitz linear systems J. Comput. Appl. Math. 156 2003 179 200 (Pubitemid 36696091)
    • (2003) Journal of Computational and Applied Mathematics , vol.156 , Issue.1 , pp. 179-200
    • Minchev, B.V.1
  • 19
    • 70350611126 scopus 로고    scopus 로고
    • Using the Sherman-Morrison-Woodbury formula for coupling external circuits with FEM for simulation of eddy current problems
    • D.A. White Using the Sherman-Morrison-Woodbury formula for coupling external circuits with FEM for simulation of eddy current problems IEEE Trans. Magn. 45 10 2009 3915 3918
    • (2009) IEEE Trans. Magn. , vol.45 , Issue.10 , pp. 3915-3918
    • White, D.A.1
  • 20
    • 0000386963 scopus 로고
    • A note on the stability of solving a rank-p modification of a linear system by the Sherman-Morrison-Woodbury formula
    • E.L. Yip A note on the stability of solving a rank-p modification of a linear system by the Sherman-Morrison-Woodbury formula SIAM J. Sci. Statist. Comput. 7 3 1986 507 513
    • (1986) SIAM J. Sci. Statist. Comput. , vol.7 , Issue.3 , pp. 507-513
    • Yip, E.L.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.