메뉴 건너뛰기




Volumn 24, Issue 3, 2003, Pages 768-786

A Kronecker product representation of the fast Gauss transform

Author keywords

Approximations of Gaussians; Kronecker product; Multidimensional FGT; Sparse or structured matrices

Indexed keywords


EID: 0041914114     PISSN: 08954798     EISSN: None     Source Type: Journal    
DOI: 10.1137/S0895479800380374     Document Type: Article
Times cited : (6)

References (18)
  • 3
    • 0031636309 scopus 로고    scopus 로고
    • FFTW: An adaptive software architecture for the FFT
    • M. FRIGO AND S. JOHNSON, FFTW: An adaptive software architecture for the FFT, in Proc. IEEE Internat. Conf. on ASSP, Vol. 3, 1998, pp. 1381-1384.
    • (1998) Proc. IEEE Internat. Conf. on ASSP , vol.3 , pp. 1381-1384
    • Frigo, M.1    Johnson, S.2
  • 5
    • 0000396658 scopus 로고
    • A fast algorithm for particle simulations
    • L. GREENGARD AND V. ROKHLIN, A fast algorithm for particle simulations, J. Comput. Phys., 73 (1987), pp. 325-348.
    • (1987) J. Comput. Phys. , vol.73 , pp. 325-348
    • Greengard, L.1    Rokhlin, V.2
  • 7
    • 84990587865 scopus 로고
    • A fast algorithm for evaluating heat potentials
    • L. GREENGARD AND J. STRAIN, A fast algorithm for evaluating heat potentials, Comm. Pure Appl. Math., 43 (1990), pp. 949-963.
    • (1990) Comm. Pure Appl. Math. , vol.43 , pp. 949-963
    • Greengard, L.1    Strain, J.2
  • 8
    • 0012833605 scopus 로고    scopus 로고
    • A new version of the fast Gauss transform
    • Berlin, 1998, Doc. Math., Extra Vol. III, University Bielefeld, Bielefeld, Germany. electronic
    • L. GREENGARD AND X. SUN, A new version of the fast Gauss transform, in Proc. Internat. Congress Math., Vol. III (Berlin, 1998), Doc. Math., Extra Vol. III, University Bielefeld, Bielefeld, Germany, 1998, pp. 575-584 (electronic).
    • (1998) Proc. Internat. Congress Math. , vol.3 , pp. 575-584
    • Greengard, L.1    Sun, X.2
  • 9
    • 0000154314 scopus 로고    scopus 로고
    • Linear-scaling density-functional theory with Gaussian orbitals and periodic boundary conditions: Efficient evaluation of energy and forces via the fast multipole method
    • K. N. KUDIN AND G. E. SCUSERIA, Linear-scaling density-functional theory with Gaussian orbitals and periodic boundary conditions: Efficient evaluation of energy and forces via the fast multipole method, Phys. Rev. B (3), 61 (2000), pp. 16440-16453.
    • (2000) Phys. Rev. B (3) , vol.61 , pp. 16440-16453
    • Kudin, K.N.1    Scuseria, G.E.2
  • 10
    • 0345391839 scopus 로고    scopus 로고
    • Efficient on-line nonparametric kernel density estimation
    • C. LAMBERT, S. HARRINGTON, C. HARVEY, AND A. GLODJO, Efficient on-line nonparametric kernel density estimation, Algorithmica, 25 (1999), pp. 37-57.
    • (1999) Algorithmica , vol.25 , pp. 37-57
    • Lambert, C.1    Harrington, S.2    Harvey, C.3    Glodjo, A.4
  • 12
    • 0042776086 scopus 로고    scopus 로고
    • The impact of data ordering strategies on a distributed hierarchical multipole algorithm
    • B. Hendrickson, K. A. Yelick, C. H. Bischof, I. S. Duff, A. S. Edelman, G. A. Geist, M. T. Heath, M. A. Henoux, C. Koebel, R. S. Schrieber, R. S. Sincovec, and M. F. Wheeler, eds., SIAM, Philadelphia, CD-ROM
    • W. T. RANKIN, J. A. BOARD, JR., AND V. L. HENDERSON, The impact of data ordering strategies on a distributed hierarchical multipole algorithm, in Proc. Ninth SIAM Conf. on Parallel Processing for Scientific Computing, B. Hendrickson, K. A. Yelick, C. H. Bischof, I. S. Duff, A. S. Edelman, G. A. Geist, M. T. Heath, M. A. Henoux, C. Koebel, R. S. Schrieber, R. S. Sincovec, and M. F. Wheeler, eds., SIAM, Philadelphia, 1999, CD-ROM.
    • (1999) Proc. Ninth SIAM Conf. on Parallel Processing for Scientific Computing
    • Rankin, W.T.1    Board J.A., Jr.2    Henderson, V.L.3
  • 15
    • 0007898394 scopus 로고
    • The fast Gauss transform with variable scales
    • J. STRAIN, The fast Gauss transform with variable scales, SIAM J. Sci. Stat. Comput., 12 (1991), pp. 1131-1139.
    • (1991) SIAM J. Sci. Stat. Comput. , vol.12 , pp. 1131-1139
    • Strain, J.1
  • 16
    • 0040170306 scopus 로고
    • Orthogonal polynomials, 3rd ed.
    • AMS, Providence, RI
    • G. SZEGÖ, Orthogonal Polynomials, 3rd ed., Amer. Math. Soc. Colloq. Publ. 23, AMS, Providence, RI, 1967.
    • (1967) Amer. Math. Soc. Colloq. Publ. , vol.23
    • Szegö, G.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.