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Volumn 188, Issue 1, 2007, Pages 877-894

A recursive algorithm for the inversion of matrices with circulant blocks

Author keywords

Discrete Fourier transform; Matrices with circulant blocks; Recursive inversion

Indexed keywords

ALGORITHMS; BOUNDARY ELEMENT METHOD; COMPUTATIONAL COMPLEXITY; DISCRETE FOURIER TRANSFORMS; EIGENVALUES AND EIGENFUNCTIONS; INTEGRAL EQUATIONS; NUMERICAL METHODS;

EID: 34248204715     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2006.10.044     Document Type: Article
Times cited : (25)

References (16)
  • 2
    • 34248225557 scopus 로고    scopus 로고
    • R.M. Gray, Toeplitz and circulant matrices: a review. Available from: , 2005.
  • 3
    • 0032022726 scopus 로고    scopus 로고
    • Electronic Green scattering with n-fold symmetry axis from block circulant matrices
    • Mayer A., Castiaux A., and Vigneron J.-P. Electronic Green scattering with n-fold symmetry axis from block circulant matrices. Comput. Phys. Commun. 109 (1998) 81-89
    • (1998) Comput. Phys. Commun. , vol.109 , pp. 81-89
    • Mayer, A.1    Castiaux, A.2    Vigneron, J.-P.3
  • 4
    • 13844296351 scopus 로고    scopus 로고
    • Optimization of the method of auxiliary sources (MAS) for scattering by an infinite cylinder under oblique incidence
    • Tsitsas N.L., Alivizatos E.G., Anastassiu H.T., and Kaklamani D.I. Optimization of the method of auxiliary sources (MAS) for scattering by an infinite cylinder under oblique incidence. Electromagnetics 25 (2005) 39-54
    • (2005) Electromagnetics , vol.25 , pp. 39-54
    • Tsitsas, N.L.1    Alivizatos, E.G.2    Anastassiu, H.T.3    Kaklamani, D.I.4
  • 5
    • 33846940543 scopus 로고    scopus 로고
    • N.L. Tsitsas, E.G. Alivizatos, H.T. Anastassiu, D.I. Kaklamani, Accuracy analysis of the method of auxiliary sources (MAS) for scattering from a two-layer dielectric circular cylinder, in: Antennas and Propagation Society International Symposium, 2005 IEEE vol. 3B, 3-8 July 2005, pp. 356-359.
  • 6
    • 38149147298 scopus 로고
    • Effective algorithms with circulant-block matrices
    • Rjasanow S. Effective algorithms with circulant-block matrices. Linear Algebra Appl. 202 (1994) 55-69
    • (1994) Linear Algebra Appl. , vol.202 , pp. 55-69
    • Rjasanow, S.1
  • 7
    • 0022694911 scopus 로고
    • A proposal for toeplitz matrix calculations
    • Strang G. A proposal for toeplitz matrix calculations. Stud. Appl. Math. 74 (1986) 171-176
    • (1986) Stud. Appl. Math. , vol.74 , pp. 171-176
    • Strang, G.1
  • 8
    • 0023437512 scopus 로고
    • Analysis of electromagnetic scattering from dielectric cylinders using a multifilament current model
    • Leviatan Y., and Boag A. Analysis of electromagnetic scattering from dielectric cylinders using a multifilament current model. IEEE Trans. Antennas Propagat. AP-35 (1987) 1119-1127
    • (1987) IEEE Trans. Antennas Propagat. , vol.AP-35 , pp. 1119-1127
    • Leviatan, Y.1    Boag, A.2
  • 9
    • 34248173643 scopus 로고
    • A recursive algorithm to invert multiblock circulant matrices
    • Baker J., Hiergeist F., and Trapp G. A recursive algorithm to invert multiblock circulant matrices. Kyungpook Math. J. 28 (1988) 45-50
    • (1988) Kyungpook Math. J. , vol.28 , pp. 45-50
    • Baker, J.1    Hiergeist, F.2    Trapp, G.3
  • 10
    • 0031257897 scopus 로고    scopus 로고
    • Inversion of block-circulant matrices and circular array approach
    • Vescovo R. Inversion of block-circulant matrices and circular array approach. IEEE Trans. Antennas Propagat. 45 (1997) 1565-1567
    • (1997) IEEE Trans. Antennas Propagat. , vol.45 , pp. 1565-1567
    • Vescovo, R.1
  • 11
    • 34248149622 scopus 로고
    • Cyclic odd-even reduction for symmetric circulant matrices
    • Madsen N.K. Cyclic odd-even reduction for symmetric circulant matrices. Linear Algebra Appl. 51 (1983) 17-35
    • (1983) Linear Algebra Appl. , vol.51 , pp. 17-35
    • Madsen, N.K.1
  • 13
    • 34248223313 scopus 로고    scopus 로고
    • G.W. Stewart, Matrix Algorithms, vol. I: Basic Decompositions, SIAM, Philadelphia, 1998.


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.