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Volumn 36, Issue 3-4, 2003, Pages 613-648

High-order lifting and integrality certification

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EID: 0042706308     PISSN: 07477171     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0747-7171(03)00097-X     Document Type: Article
Times cited : (75)

References (18)
  • 1
    • 0001380055 scopus 로고
    • Exact solution of linear equations using p-adic expansions
    • Dixon, J.D., 1982. Exact solution of linear equations using p-adic expansions. Numerische Mathematik 40, 137-141.
    • (1982) Numerische Mathematik , vol.40 , pp. 137-141
    • Dixon, J.D.1
  • 3
    • 85031141809 scopus 로고    scopus 로고
    • On the complexity of polynomial matrix computations
    • Research Report 2003-2. Laboratoire LIP, ENS Lyon, France
    • Giorgi, P., Jeannerod, C.-P., Villard, G., 2003. On the complexity of polynomial matrix computations. Research Report 2003-2. Laboratoire LIP, ENS Lyon, France.
    • (2003)
    • Giorgi, P.1    Jeannerod, C.-P.2    Villard, G.3
  • 4
    • 0026403469 scopus 로고
    • Asymptotically fast triangularization of matrices over rings
    • Hafner, J.L., McCurley, K.S., 1991. Asymptotically fast triangularization of matrices over rings. SIAM Journal of Computing 20 (6), 1068-1083.
    • (1991) SIAM Journal of Computing , vol.20 , Issue.6 , pp. 1068-1083
    • Hafner, J.L.1    McCurley, K.S.2
  • 5
    • 0003792312 scopus 로고
    • Prentice Hall, Englewood Cliffs, NJ
    • Kailath, T., 1980. Linear Systems. Prentice Hall, Englewood Cliffs, NJ.
    • (1980) Linear Systems
    • Kailath, T.1
  • 7
    • 0001464763 scopus 로고
    • Multiplication of multidigit numbers on automata
    • Karatsuba, A., Ofman, Y., 1963. Multiplication of multidigit numbers on automata. Soviet Physics-Doklady 7, 595-596.
    • (1963) Soviet Physics-Doklady , vol.7 , pp. 595-596
    • Karatsuba, A.1    Ofman, Y.2
  • 8
    • 84945708089 scopus 로고
    • Approximate algorithms to derive exact solutions to systems of linear equations
    • Springer-Verlag, Berlin, Heidelberg, New York
    • Moenck, R.T., Carter, J.H., 1979. Approximate algorithms to derive exact solutions to systems of linear equations. In: Proc. EUROSAM'79. Lecture Notes in Compute Science, vol. 72. Springer-Verlag, Berlin, Heidelberg, New York, pp. 65-72.
    • (1979) Proc. EUROSAM'79. Lecture Notes in Compute Science , vol.72 , pp. 65-72
    • Moenck, R.T.1    Carter, J.H.2
  • 11
  • 13
    • 38149147073 scopus 로고
    • Fast construction of irreducible polynomials over finite fields
    • Shoup, V., 1994. Fast construction of irreducible polynomials over finite fields. Journal of Symbolic Computation 17, 371-391.
    • (1994) Journal of Symbolic Computation , vol.17 , pp. 371-391
    • Shoup, V.1
  • 14
    • 0003909785 scopus 로고    scopus 로고
    • Algorithms for matrix canonical forms
    • Ph.D. Thesis. Swiss Federal Institute of Technology, ETH, Zurich
    • Storjohann, A., 2000. Algorithms for matrix canonical forms, Ph.D. Thesis. Swiss Federal Institute of Technology, ETH, Zurich.
    • (2000)
    • Storjohann, A.1
  • 15
    • 0029194722 scopus 로고
    • Preconditioning of rectangular polynomial matrices for efficient Hermite normal form computation
    • Levelt, A.H.M. (Ed.), ACM Press, New York
    • Storjohann, A., Labahn, G., 1995. Preconditioning of rectangular polynomial matrices for efficient Hermite normal form computation. In: Levelt, A.H.M. (Ed.), ISSAC'95, Proc. Int'l. Symp. on Symbolic and Algebraic Computation. ACM Press, New York, pp. 119-125.
    • (1995) ISSAC'95, Proc. Int'l. Symp. on Symbolic and Algebraic Computation , pp. 119-125
    • Storjohann, A.1    Labahn, G.2
  • 17
    • 0030381773 scopus 로고    scopus 로고
    • Computing Popov and Hermite forms of polynomial matrices
    • Lakshman, Y.N. (Ed.), ACM Press, New York
    • Villard, G., 1996. Computing Popov and Hermite forms of polynomial matrices. In: Lakshman, Y.N. (Ed.), ISSAC'96, Proc. Int'l. Symp. on Symbolic and Algebraic Computation. ACM Press, New York, pp. 251-258.
    • (1996) ISSAC'96, Proc. Int'l. Symp. on Symbolic and Algebraic Computation , pp. 251-258
    • Villard, G.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.