메뉴 건너뛰기




Volumn 24, Issue 3, 2003, Pages 645-659

Real-valued, low rank, circulant approximation

Author keywords

Conjugate even; Fast Fourier transform; Lower rank; Nearest approximation; Real valued circulant matrix; Truncated singular value decomposition

Indexed keywords


EID: 0041663838     PISSN: 08954798     EISSN: None     Source Type: Journal    
DOI: 10.1137/S0895479801383166     Document Type: Article
Times cited : (16)

References (15)
  • 1
    • 0001268444 scopus 로고
    • Least square matching problems
    • 123
    • R. W. BROCKETT, Least square matching problems, Linear Algebra Appl., 122/123/124 (1989), pp. 761-777.
    • (1989) Linear Algebra Appl. , vol.122-124 , pp. 761-777
    • Brockett, R.W.1
  • 2
    • 0345910458 scopus 로고
    • Circulant preconditioned Toeplitz least squares iterations
    • R. H. CHAN, J. G. NAGY, AND R. J. PLEMMONS, Circulant preconditioned Toeplitz least squares iterations, SIAM J. Matrix Anal. Appl., 15 (1994), pp. 80-97.
    • (1994) SIAM J. Matrix Anal. Appl. , vol.15 , pp. 80-97
    • Chan, R.H.1    Nagy, J.G.2    Plemmons, R.J.3
  • 3
    • 0000853646 scopus 로고
    • An optimal circulant preconditioner for Toeplitz systems
    • T. F. CHAN, An optimal circulant preconditioner for Toeplitz systems, SIAM J. Sci. Statist. Comput., 9 (1988), pp. 766-771.
    • (1988) SIAM J. Sci. Statist. Comput. , vol.9 , pp. 766-771
    • Chan, T.F.1
  • 4
    • 0025474861 scopus 로고
    • The projected gradient method for least squares matrix approximations with spectral constraints
    • M. T. CHU AND K. R. DRIESSEL, The projected gradient method for least squares matrix approximations with spectral constraints, SIAM J. Numer. Anal., 27 (1990), pp. 1050-1060.
    • (1990) SIAM J. Numer. Anal. , vol.27 , pp. 1050-1060
    • Chu, M.T.1    Driessel, K.R.2
  • 7
    • 0012480657 scopus 로고    scopus 로고
    • Methods for correcting tilt anisoplanatism in laser-guide-star-based multi-conjugate adaptive optics
    • B. L. ELLERBROEK AND F. J. RIGAUT, Methods for correcting tilt anisoplanatism in laser-guide-star-based multi-conjugate adaptive optics, J. Opt. Soc. Amer. A, 18 (2001), pp. 2539-2547.
    • (2001) J. Opt. Soc. Amer. A , vol.18 , pp. 2539-2547
    • Ellerbroek, B.L.1    Rigaut, F.J.2
  • 9
    • 0003235719 scopus 로고    scopus 로고
    • Rank-deficient and discrete ill-posed problems: Numerical aspects of linear inversion
    • SIAM, Philadelphia, PA
    • P. C. HANSEN, Rank-Deficient and Discrete Ill-Posed Problems: Numerical Aspects of Linear Inversion, SIAM Monogr. Math. Model. Comput. 4, SIAM, Philadelphia, PA, 1997.
    • (1997) SIAM Monogr. Math. Model. Comput. , vol.4
    • Hansen, P.C.1
  • 13
    • 0041614989 scopus 로고    scopus 로고
    • Circulant preconditioners for convolution-like integral equations with higher order quadrature rules
    • M. NG, Circulant preconditioners for convolution-like integral equations with higher order quadrature rules, Electron. Trans. Numer. Anal., 6 (1997), pp. 18-28.
    • (1997) Electron. Trans. Numer. Anal. , vol.6 , pp. 18-28
    • Ng, M.1
  • 14
    • 0034510473 scopus 로고    scopus 로고
    • Low-rank matrix approximation using the Lanczos bidiagonalization process with applications
    • H. D. SIMON AND H. ZHA, Low-rank matrix approximation using the Lanczos bidiagonalization process with applications, SIAM J. Sci. Comput., 21 (2000), pp. 2257-2274.
    • (2000) SIAM J. Sci. Comput. , vol.21 , pp. 2257-2274
    • Simon, H.D.1    Zha, H.2
  • 15
    • 0003301233 scopus 로고
    • Computational frameworks for the fast fourier transform
    • SIAM, Philadelphia, PA
    • C. F. VAN LOAN, Computational Frameworks for the Fast Fourier Transform, Frontiers Appl. Math. 10, SIAM, Philadelphia, PA, 1992.
    • (1992) Frontiers Appl. Math. , vol.10
    • Van Loan, C.F.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.