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Volumn 539 LNCS, Issue , 1991, Pages 29-38

On Wiedemann’s method of solving sparse linear systems

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Indexed keywords


EID: 84968495217     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: 10.1007/3-540-54522-0_93     Document Type: Conference Paper
Times cited : (114)

References (16)
  • 1
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    • Abdali, S. K. and Wise, D. S., “Experiments with quadtree representation of matrices,” Proc. ISSAC '88, Springer Lect. Notes Comput. Sci. 358, pp. 467–474 (1988).
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    • Abdali, S.K.1    Wise, D.S.2
  • 2
    • 84915669489 scopus 로고
    • Optimal rearrangeable multistage connecting networks
    • Beneš, V. E., “Optimal rearrangeable multistage connecting networks,” Bell System Tech. J. 43, pp. 1641–1656 (1964)
    • (1964) Bell System Tech. J , vol.43 , pp. 1641-1656
    • Beneš, V.E.1
  • 4
    • 84914906796 scopus 로고
    • Tech. Report 87-35, Dept. Comput. Sci., Rensselaer Polytechn, ic Institute, Revised version to appear in Acta Informatica
    • Cantor, D. G. and Kaltofen, E., “Fast multiplication of polynomials over arbitrary rings,” Tech. Report 87-35, Dept. Comput. Sci., Rensselaer Polytechnic Institute, December 1987. Revised version to appear in Acta Informatica.
    • (1987) Fast Multiplication of Polynomials over Arbitrary Rings
    • Cantor, D.G.1    Kaltofen, E.2
  • 5
    • 0004236492 scopus 로고
    • John, s Hopkins University Press, Baltimore, Maryland
    • Golub, G. H. and van Loan, C. F., Matrix Computations; Johns Hopkins University Press, Baltimore, Maryland, 1987.
    • (1987) Matrix Computations
    • Golub, G.H.1    Van Loan, C.F.2
  • 7
    • 85058940739 scopus 로고
    • Processor efficient parallel solution of linear systems over an abstract field
    • ACM Press, p. to appear
    • Kaltofen, E. and Pan, V., “Processor efficient parallel solution of linear systems over an abstract field,” in Proc. 3rd Ann. ACM Symp. Parallel Algor. Architecture; ACM Press, p. to appear, 1991.
    • (1991) Proc. 3Rd Ann. ACM Symp. Parallel Algor. Architecture
    • Kaltofen, E.1    Pan, V.2
  • 8
    • 85032068767 scopus 로고
    • Computing greatest common divisors and factorizations in quadratic number fields
    • Kaltofen, E. and Rolletschek, H., “Computing greatest common divisors and factorizations in quadratic number fields,” Math. Comp. 53/188, pp. 697–720 (1989).
    • (1989) Math. Comp , vol.53 , Issue.188 , pp. 697-720
    • Kaltofen, E.1    Rolletschek, H.2
  • 9
    • 0040170055 scopus 로고
    • Addition requirements for matrix and transposed matrix products
    • Kaminski, M., Kirkpatrick, D. G., and Bshouty, N. H., “Addition requirements for matrix and transposed matrix products,” J. Algorithms 9, pp. 354–364 (1988).
    • (1988) J. Algorithms , vol.9 , pp. 354-364
    • Kaminski, M.1    Kirkpatrick, D.G.2    Bshouty, N.H.3
  • 10
    • 84988216913 scopus 로고
    • Solving large sparse linear systems over finite fields
    • edited by S. Vanstone; Springer Verlag, p. to appea, r
    • LaMacchia, B. A. and Odlyzko, A. M., “Solving large sparse linear systems over finite fields,” in Advances in Cryptology: Crypto 90, Lect. Notes Comput. Sci., edited by S. Vanstone; Springer Verlag, p. to appear, 1991.
    • (1991) Advances in Cryptology: Crypto 90, Lect. Notes Comput. Sci
    • Lamacchia, B.A.1    Odlyzko, A.M.2
  • 11
    • 0000843755 scopus 로고
    • Generalized nested dissection
    • Lipton, R., Rose, D., and Tarjan, R. E., “Generalized nested dissection,” SIAM J. Numer. Anal. 16, pp. 346–358 (1979).
    • (1979) SI , vol.16 , pp. 346-358
    • Lipton, R.1    Rose, D.2    Tarjan, R.E.3
  • 12
    • 84937740421 scopus 로고
    • Shift-register synthesis and BCH decoding
    • Massey, J. L., “Shift-register synthesis and BCH decoding,” IEEE Trans. Inf. Theory IT-15, pp. 122–127 (1969).
    • (1969) IEEE Trans. Inf. Theory , vol.IT-15 , pp. 122-127
    • Massey, J.L.1
  • 13
    • 84976779342 scopus 로고
    • Fast probabilistic algorithms for verification of polynomial identities
    • Schwartz, J. T., “Fast probabilistic algorithms for verification of polynomial identities,” J. ACM 27, pp. 701–717 (1980).
    • (1980) J. ACM , vol.27 , pp. 701-717
    • Schwartz, J.T.1
  • 14
    • 0022583143 scopus 로고
    • Solving sparse linear equations over finite fields
    • Wiedemann, D., “Solving sparse linear equations over finite fields,” IEEE Trans. Inf. Theory IT-32, pp. 54–62 (1986).
    • (1986) IEEE Trans. Inf. Theory , vol.IT-32 , pp. 54-62
    • Wiedemann, D.1
  • 15
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    • Costs of quadtree representation of non-dense matrices
    • Wise, D. S. and Franco, J., “Costs of quadtree representation of non-dense matrices,” J. Parallel Distributed Comput. 9, pp. 282–296 (1990).
    • (1990) J. Parallel Distributed Comput , vol.9 , pp. 282-296
    • Wise, D.S.1    Franco, J.2
  • 16
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    • Probabilistic algorithms for sparse polynomials
    • Zippel, R. E., “Probabilistic algorithms for sparse polynomials,” Proc. EUROSAM '79, Springer Lec. Notes Comp. Sci. 72, pp. 216–226 (1979).
    • (1979) Proc. EUROSAM '79, Springer Lec. No , vol.72 , pp. 216-226
    • Zippel, R.E.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.