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Volumn 199, Issue 2, 2007, Pages 199-206

Super-fast validated solution of linear systems

Author keywords

INTLAB; Self validating methods; Sparse linear systems; Verified error bounds

Indexed keywords

SELF VALIDATING METHODS; SPARSE LINEAR SYSTEMS; VERIFIED ERROR BOUNDS;

EID: 33749671866     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cam.2005.07.038     Document Type: Article
Times cited : (17)

References (12)
  • 1
    • 33749671608 scopus 로고    scopus 로고
    • J.B. Demmel, On floating point errors in Cholesky, LAPACK Working Note 14 CS-89-87, Department of Computer Science, University of Tennessee, Knoxville, TN, USA, 1989.
  • 2
    • 33749669859 scopus 로고    scopus 로고
    • I.S. Duff, R.G. Grimes, J.G. Lewis, User's guide for Harwell-Boeing sparse matrix test problems collection, Technical Report RAL-92-086, Computing and Information Systems Department, Rutherford Appleton Laboratory, Didcot, UK, 1992.
  • 6
    • 0036003238 scopus 로고    scopus 로고
    • Fast verification of solutions of matrix equations
    • Oishi S., and Rump S.M. Fast verification of solutions of matrix equations. Numer. Math. 90 4 (2002) 755-773
    • (2002) Numer. Math. , vol.90 , Issue.4 , pp. 755-773
    • Oishi, S.1    Rump, S.M.2
  • 7
    • 0038449954 scopus 로고    scopus 로고
    • Fast verification of solutions for sparse monotone matrix equations
    • Ogita T., Oishi S., and Ushiro Y. Fast verification of solutions for sparse monotone matrix equations. Comput. Suppl. 15 (2001) 175-187
    • (2001) Comput. Suppl. , vol.15 , pp. 175-187
    • Ogita, T.1    Oishi, S.2    Ushiro, Y.3
  • 8
    • 0038174786 scopus 로고    scopus 로고
    • Computation of sharp rigorous componentwise error bounds for the approximate solutions of systems of linear equations
    • Ogita T., Oishi S., and Ushiro Y. Computation of sharp rigorous componentwise error bounds for the approximate solutions of systems of linear equations. Reliable Comput. 9 3 (2003) 229-239
    • (2003) Reliable Comput. , vol.9 , Issue.3 , pp. 229-239
    • Ogita, T.1    Oishi, S.2    Ushiro, Y.3
  • 10
    • 33749665691 scopus 로고    scopus 로고
    • S.M. Rump, Kleine Fehlerschranken bei Matrixproblemen, Ph.D. Thesis, Universität Karlsruhe, 1980.
  • 11
    • 0002342184 scopus 로고    scopus 로고
    • INTLAB-INTerval LABoratory
    • Csendes T. (Ed), Kluwer, Dordrecht 〈http://www.ti3.tu-harburg.de/english/index.html〉
    • Rump S.M. INTLAB-INTerval LABoratory. In: Csendes T. (Ed). Developments in Reliable Computing (1999), Kluwer, Dordrecht 77-104. http://www.ti3.tu-harburg.de/english/index.html 〈http://www.ti3.tu-harburg.de/english/index.html〉
    • (1999) Developments in Reliable Computing , pp. 77-104
    • Rump, S.M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.