메뉴 건너뛰기




Volumn 41, Issue 6, 2006, Pages 621-632

An algorithm to solve integer linear systems exactly using numerical methods

Author keywords

Linear systems; Numerical linear algebra methods; Rational solvers

Indexed keywords


EID: 33645899658     PISSN: 07477171     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jsc.2005.11.001     Document Type: Article
Times cited : (15)

References (15)
  • 1
    • 33645944408 scopus 로고    scopus 로고
    • Chen, Z., Storjohann, A., 2004. An implementation of linear system solving for integer matrices. In: Poster, ISSAC'04
  • 4
    • 0001380055 scopus 로고    scopus 로고
    • Dixon, J.D., 1982. Exact solution of linear equations using p-adic expansion. Numer. Math., 137-141
  • 5
    • 0036049545 scopus 로고    scopus 로고
    • Finite field linear algebra subroutines
    • ACM Press
    • Dumas J.-G., Gautier T., and Pernet C. Finite field linear algebra subroutines. Proc. ISSAC'02 (2002), ACM Press 63-74
    • (2002) Proc. ISSAC'02 , pp. 63-74
    • Dumas, J.-G.1    Gautier, T.2    Pernet, C.3
  • 6
    • 0033658636 scopus 로고    scopus 로고
    • Smith form via the valence: Experience with matrices from homology
    • ACM Press
    • Dumas J.-G., Saunders B.D., and Villard G. Smith form via the valence: Experience with matrices from homology. Proc. ISSAC'00 (2000), ACM Press 95-105
    • (2000) Proc. ISSAC'00 , pp. 95-105
    • Dumas, J.-G.1    Saunders, B.D.2    Villard, G.3
  • 7
    • 33645916449 scopus 로고    scopus 로고
    • Dumas, J.-G., Turner, W., Wan, Z., 2002b. Exact solution to large sparse integer linear systems. In: Poster, ECCAD 2002
  • 9
    • 33645945636 scopus 로고    scopus 로고
    • Geddes, K., Zheng, W., 2002. Exploiting fast hardware floating point in high precision computation. Tech. Rep. School of Computer Science, University of Waterloo, CA
  • 11
    • 0036050382 scopus 로고    scopus 로고
    • Acceleration of Euclidean algorithm and extensions
    • ACM Press
    • Pan V., and Wang X. Acceleration of Euclidean algorithm and extensions. Proc. ISSAC'02 (2002), ACM Press 207-213
    • (2002) Proc. ISSAC'02 , pp. 207-213
    • Pan, V.1    Wang, X.2
  • 15
    • 0022583143 scopus 로고
    • Solving sparse linear equations over finite fields
    • Wiedemann D. Solving sparse linear equations over finite fields. IEEE Trans. Inform. Theory 32 (1986) 54-62
    • (1986) IEEE Trans. Inform. Theory , vol.32 , pp. 54-62
    • Wiedemann, D.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.